TSTP Solution File: KLE120+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE120+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n006.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 02:15:22 EDT 2022
% Result : Theorem 27.51s 27.78s
% Output : CNFRefutation 27.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 69
% Number of leaves : 327
% Syntax : Number of formulae : 1411 ( 742 unt; 0 def)
% Number of atoms : 2371 (2333 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 1929 ( 969 ~; 956 |; 1 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 2096 ( 52 sgn 114 !; 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(order,axiom,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ) ).
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(codomain2,axiom,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) ).
fof(codomain3,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one ).
fof(codomain4,axiom,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)) ).
fof(complement,axiom,
! [X0] : c(X0) = antidomain(domain(X0)) ).
fof(domain_difference,axiom,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)) ).
fof(backward_diamond,axiom,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)) ).
fof(goals,conjecture,
! [X0] : addition(backward_diamond(one,domain(X0)),domain(X0)) = domain(X0) ).
fof(subgoal_0,plain,
! [X0] : addition(backward_diamond(one,domain(X0)),domain(X0)) = domain(X0),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] : addition(backward_diamond(one,domain(X0)),domain(X0)) = domain(X0),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0] : addition(backward_diamond(one,domain(X0)),domain(X0)) != domain(X0),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
addition(backward_diamond(one,domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)) != domain(skolemFOFtoCNF_X0),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_3,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(canonicalize,[],[backward_diamond]) ).
fof(normalize_0_5,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_7,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_9,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_11,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(canonicalize,[],[codomain1]) ).
fof(normalize_0_13,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_15,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(canonicalize,[],[codomain3]) ).
fof(normalize_0_17,plain,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(canonicalize,[],[codomain4]) ).
fof(normalize_0_19,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_21,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
inference(canonicalize,[],[codomain2]) ).
fof(normalize_0_23,plain,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
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,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_27,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_29,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(canonicalize,[],[order]) ).
fof(normalize_0_31,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( ~ leq(A,B)
| addition(A,B) = B ) ),
inference(clausify,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [A,B] :
( ~ leq(A,B)
| addition(A,B) = B ),
inference(conjunct,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A,B] :
( addition(A,B) != B
| leq(A,B) ),
inference(conjunct,[],[normalize_0_32]) ).
fof(normalize_0_35,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_36,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(specialize,[],[normalize_0_35]) ).
fof(normalize_0_37,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[domain4]) ).
fof(normalize_0_38,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(specialize,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(canonicalize,[],[complement]) ).
fof(normalize_0_40,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(specialize,[],[normalize_0_39]) ).
fof(normalize_0_41,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_42,plain,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(specialize,[],[normalize_0_41]) ).
fof(normalize_0_43,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_44,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_43]) ).
fof(normalize_0_45,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(canonicalize,[],[domain_difference]) ).
fof(normalize_0_46,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(specialize,[],[normalize_0_45]) ).
cnf(refute_0_0,plain,
addition(backward_diamond(one,domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)) != domain(skolemFOFtoCNF_X0),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_6,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
addition(backward_diamond(one,domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)) = addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_6:[bind(A,$fot(domain(skolemFOFtoCNF_X0))),bind(B,$fot(backward_diamond(one,domain(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8,plain,
( addition(backward_diamond(one,domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)) != addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0)))
| addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))) != domain(skolemFOFtoCNF_X0)
| addition(backward_diamond(one,domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)) = domain(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(backward_diamond(one,domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)) ),[0],$fot(addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9,plain,
( addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))) != domain(skolemFOFtoCNF_X0)
| addition(backward_diamond(one,domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)) = domain(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(addition(backward_diamond(one,domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)),addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0)))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))) != domain(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(addition(backward_diamond(one,domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)) )],[refute_0_9,refute_0_0]) ).
cnf(refute_0_11,plain,
backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_12,plain,
backward_diamond(one,X_25) = codomain(multiplication(codomain(X_25),one)),
inference(subst,[],[refute_0_11:[bind(X0,$fot(one)),bind(X1,$fot(X_25))]]) ).
cnf(refute_0_13,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_14,plain,
multiplication(codomain(X_25),one) = codomain(X_25),
inference(subst,[],[refute_0_13:[bind(A,$fot(codomain(X_25)))]]) ).
cnf(refute_0_15,plain,
( backward_diamond(one,X_25) != codomain(multiplication(codomain(X_25),one))
| multiplication(codomain(X_25),one) != codomain(X_25)
| backward_diamond(one,X_25) = codomain(codomain(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(backward_diamond(one,X_25),codomain(multiplication(codomain(X_25),one))) ),[1,0],$fot(codomain(X_25))]]) ).
cnf(refute_0_16,plain,
( backward_diamond(one,X_25) != codomain(multiplication(codomain(X_25),one))
| backward_diamond(one,X_25) = codomain(codomain(X_25)) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(X_25),one),codomain(X_25)) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
backward_diamond(one,X_25) = codomain(codomain(X_25)),
inference(resolve,[$cnf( $equal(backward_diamond(one,X_25),codomain(multiplication(codomain(X_25),one))) )],[refute_0_12,refute_0_16]) ).
cnf(refute_0_18,plain,
backward_diamond(one,domain(skolemFOFtoCNF_X0)) = codomain(codomain(domain(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_17:[bind(X_25,$fot(domain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_19,plain,
addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))) = addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_20,plain,
( addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))) != addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0)))
| backward_diamond(one,domain(skolemFOFtoCNF_X0)) != codomain(codomain(domain(skolemFOFtoCNF_X0)))
| addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))) = addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))),addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0)))) ),[1,1],$fot(codomain(codomain(domain(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_21,plain,
( backward_diamond(one,domain(skolemFOFtoCNF_X0)) != codomain(codomain(domain(skolemFOFtoCNF_X0)))
| addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))) = addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))),addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0)))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))) = addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(backward_diamond(one,domain(skolemFOFtoCNF_X0)),codomain(codomain(domain(skolemFOFtoCNF_X0)))) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
( addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))) != addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0))))
| addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))) != domain(skolemFOFtoCNF_X0)
| addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))) = domain(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X0)) ),[0],$fot(addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_24,plain,
( addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))) != domain(skolemFOFtoCNF_X0)
| addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))) = domain(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))),addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0))))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))) != domain(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),backward_diamond(one,domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X0)) )],[refute_0_24,refute_0_10]) ).
cnf(refute_0_26,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_27,plain,
multiplication(addition(codomain(X0),X_269),codomain(X0)) = addition(multiplication(codomain(X0),codomain(X0)),multiplication(X_269,codomain(X0))),
inference(subst,[],[refute_0_26:[bind(A,$fot(codomain(X0))),bind(B,$fot(X_269)),bind(C,$fot(codomain(X0)))]]) ).
cnf(refute_0_28,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_29,plain,
multiplication(X_140,addition(X_141,coantidomain(X_140))) = addition(multiplication(X_140,X_141),multiplication(X_140,coantidomain(X_140))),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_140)),bind(B,$fot(X_141)),bind(C,$fot(coantidomain(X_140)))]]) ).
cnf(refute_0_30,plain,
multiplication(X0,coantidomain(X0)) = zero,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_31,plain,
multiplication(X_140,coantidomain(X_140)) = zero,
inference(subst,[],[refute_0_30:[bind(X0,$fot(X_140))]]) ).
cnf(refute_0_32,plain,
( multiplication(X_140,addition(X_141,coantidomain(X_140))) != addition(multiplication(X_140,X_141),multiplication(X_140,coantidomain(X_140)))
| multiplication(X_140,coantidomain(X_140)) != zero
| multiplication(X_140,addition(X_141,coantidomain(X_140))) = addition(multiplication(X_140,X_141),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_140,addition(X_141,coantidomain(X_140))),addition(multiplication(X_140,X_141),multiplication(X_140,coantidomain(X_140)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_33,plain,
( multiplication(X_140,addition(X_141,coantidomain(X_140))) != addition(multiplication(X_140,X_141),multiplication(X_140,coantidomain(X_140)))
| multiplication(X_140,addition(X_141,coantidomain(X_140))) = addition(multiplication(X_140,X_141),zero) ),
inference(resolve,[$cnf( $equal(multiplication(X_140,coantidomain(X_140)),zero) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
multiplication(X_140,addition(X_141,coantidomain(X_140))) = addition(multiplication(X_140,X_141),zero),
inference(resolve,[$cnf( $equal(multiplication(X_140,addition(X_141,coantidomain(X_140))),addition(multiplication(X_140,X_141),multiplication(X_140,coantidomain(X_140)))) )],[refute_0_29,refute_0_33]) ).
cnf(refute_0_35,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_36,plain,
addition(multiplication(X_140,X_141),zero) = multiplication(X_140,X_141),
inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(X_140,X_141)))]]) ).
cnf(refute_0_37,plain,
( addition(multiplication(X_140,X_141),zero) != multiplication(X_140,X_141)
| multiplication(X_140,addition(X_141,coantidomain(X_140))) != addition(multiplication(X_140,X_141),zero)
| multiplication(X_140,addition(X_141,coantidomain(X_140))) = multiplication(X_140,X_141) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_140,addition(X_141,coantidomain(X_140))),addition(multiplication(X_140,X_141),zero)) ),[1],$fot(multiplication(X_140,X_141))]]) ).
cnf(refute_0_38,plain,
( multiplication(X_140,addition(X_141,coantidomain(X_140))) != addition(multiplication(X_140,X_141),zero)
| multiplication(X_140,addition(X_141,coantidomain(X_140))) = multiplication(X_140,X_141) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_140,X_141),zero),multiplication(X_140,X_141)) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
multiplication(X_140,addition(X_141,coantidomain(X_140))) = multiplication(X_140,X_141),
inference(resolve,[$cnf( $equal(multiplication(X_140,addition(X_141,coantidomain(X_140))),addition(multiplication(X_140,X_141),zero)) )],[refute_0_34,refute_0_38]) ).
cnf(refute_0_40,plain,
multiplication(codomain(X0),addition(codomain(X0),coantidomain(codomain(X0)))) = multiplication(codomain(X0),codomain(X0)),
inference(subst,[],[refute_0_39:[bind(X_140,$fot(codomain(X0))),bind(X_141,$fot(codomain(X0)))]]) ).
cnf(refute_0_41,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_42,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(subst,[],[refute_0_6:[bind(A,$fot(coantidomain(X0))),bind(B,$fot(coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_43,plain,
( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != addition(coantidomain(X0),coantidomain(coantidomain(X0)))
| addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) ),[0],$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_44,plain,
( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
codomain(X0) = coantidomain(coantidomain(X0)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_47,plain,
( codomain(X0) != coantidomain(coantidomain(X0))
| coantidomain(coantidomain(X0)) = codomain(X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(codomain(X0))),bind(Y,$fot(coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_48,plain,
coantidomain(coantidomain(X0)) = codomain(X0),
inference(resolve,[$cnf( $equal(codomain(X0),coantidomain(coantidomain(X0))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
introduced(tautology,[refl,[$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_50,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_51,plain,
( coantidomain(coantidomain(X0)) != codomain(X0)
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != addition(coantidomain(X0),codomain(X0))
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
| addition(coantidomain(X0),codomain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) ),[0],$fot(addition(coantidomain(X0),codomain(X0)))]]) ).
cnf(refute_0_54,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
| addition(coantidomain(X0),codomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),codomain(X0))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
addition(coantidomain(X0),codomain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) )],[refute_0_45,refute_0_54]) ).
cnf(refute_0_56,plain,
addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))) = one,
inference(subst,[],[refute_0_55:[bind(X0,$fot(coantidomain(X0)))]]) ).
cnf(refute_0_57,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_58,plain,
( addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))) != one
| addition(codomain(X0),codomain(coantidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_48,refute_0_57]) ).
cnf(refute_0_59,plain,
addition(codomain(X0),codomain(coantidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))),one) )],[refute_0_56,refute_0_58]) ).
cnf(refute_0_60,plain,
codomain(coantidomain(X_7)) = coantidomain(coantidomain(coantidomain(X_7))),
inference(subst,[],[refute_0_46:[bind(X0,$fot(coantidomain(X_7)))]]) ).
cnf(refute_0_61,plain,
codomain(X_7) = coantidomain(coantidomain(X_7)),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_7))]]) ).
cnf(refute_0_62,plain,
( codomain(X_7) != coantidomain(coantidomain(X_7))
| coantidomain(coantidomain(X_7)) = codomain(X_7) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(codomain(X_7))),bind(Y,$fot(coantidomain(coantidomain(X_7))))]]) ).
cnf(refute_0_63,plain,
coantidomain(coantidomain(X_7)) = codomain(X_7),
inference(resolve,[$cnf( $equal(codomain(X_7),coantidomain(coantidomain(X_7))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
( coantidomain(coantidomain(X_7)) != codomain(X_7)
| codomain(coantidomain(X_7)) != coantidomain(coantidomain(coantidomain(X_7)))
| codomain(coantidomain(X_7)) = coantidomain(codomain(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(coantidomain(coantidomain(X_7)))) ),[1,0],$fot(codomain(X_7))]]) ).
cnf(refute_0_65,plain,
( codomain(coantidomain(X_7)) != coantidomain(coantidomain(coantidomain(X_7)))
| codomain(coantidomain(X_7)) = coantidomain(codomain(X_7)) ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X_7)),codomain(X_7)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
codomain(coantidomain(X_7)) = coantidomain(codomain(X_7)),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(coantidomain(coantidomain(X_7)))) )],[refute_0_60,refute_0_65]) ).
cnf(refute_0_67,plain,
codomain(coantidomain(X0)) = coantidomain(codomain(X0)),
inference(subst,[],[refute_0_66:[bind(X_7,$fot(X0))]]) ).
cnf(refute_0_68,plain,
addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),codomain(coantidomain(X0))),
introduced(tautology,[refl,[$fot(addition(codomain(X0),codomain(coantidomain(X0))))]]) ).
cnf(refute_0_69,plain,
( addition(codomain(X0),codomain(coantidomain(X0))) != addition(codomain(X0),codomain(coantidomain(X0)))
| codomain(coantidomain(X0)) != coantidomain(codomain(X0))
| addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),coantidomain(codomain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),addition(codomain(X0),codomain(coantidomain(X0)))) ),[1,1],$fot(coantidomain(codomain(X0)))]]) ).
cnf(refute_0_70,plain,
( codomain(coantidomain(X0)) != coantidomain(codomain(X0))
| addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),coantidomain(codomain(X0))) ),
inference(resolve,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),addition(codomain(X0),codomain(coantidomain(X0)))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),coantidomain(codomain(X0))),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X0)),coantidomain(codomain(X0))) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
( addition(codomain(X0),codomain(coantidomain(X0))) != addition(codomain(X0),coantidomain(codomain(X0)))
| addition(codomain(X0),codomain(coantidomain(X0))) != one
| addition(codomain(X0),coantidomain(codomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),one) ),[0],$fot(addition(codomain(X0),coantidomain(codomain(X0))))]]) ).
cnf(refute_0_73,plain,
( addition(codomain(X0),codomain(coantidomain(X0))) != one
| addition(codomain(X0),coantidomain(codomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),addition(codomain(X0),coantidomain(codomain(X0)))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
addition(codomain(X0),coantidomain(codomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),one) )],[refute_0_59,refute_0_73]) ).
cnf(refute_0_75,plain,
( addition(codomain(X0),coantidomain(codomain(X0))) != one
| multiplication(codomain(X0),addition(codomain(X0),coantidomain(codomain(X0)))) != multiplication(codomain(X0),codomain(X0))
| multiplication(codomain(X0),one) = multiplication(codomain(X0),codomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(X0),addition(codomain(X0),coantidomain(codomain(X0)))),multiplication(codomain(X0),codomain(X0))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_76,plain,
( multiplication(codomain(X0),addition(codomain(X0),coantidomain(codomain(X0)))) != multiplication(codomain(X0),codomain(X0))
| multiplication(codomain(X0),one) = multiplication(codomain(X0),codomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(codomain(X0),coantidomain(codomain(X0))),one) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
multiplication(codomain(X0),one) = multiplication(codomain(X0),codomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(codomain(X0),addition(codomain(X0),coantidomain(codomain(X0)))),multiplication(codomain(X0),codomain(X0))) )],[refute_0_40,refute_0_76]) ).
cnf(refute_0_78,plain,
multiplication(codomain(X0),one) = codomain(X0),
inference(subst,[],[refute_0_13:[bind(A,$fot(codomain(X0)))]]) ).
cnf(refute_0_79,plain,
( multiplication(codomain(X0),one) != codomain(X0)
| multiplication(codomain(X0),one) != multiplication(codomain(X0),codomain(X0))
| codomain(X0) = multiplication(codomain(X0),codomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(X0),one),multiplication(codomain(X0),codomain(X0))) ),[0],$fot(codomain(X0))]]) ).
cnf(refute_0_80,plain,
( multiplication(codomain(X0),one) != multiplication(codomain(X0),codomain(X0))
| codomain(X0) = multiplication(codomain(X0),codomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(X0),one),codomain(X0)) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
codomain(X0) = multiplication(codomain(X0),codomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(codomain(X0),one),multiplication(codomain(X0),codomain(X0))) )],[refute_0_77,refute_0_80]) ).
cnf(refute_0_82,plain,
( codomain(X0) != multiplication(codomain(X0),codomain(X0))
| multiplication(codomain(X0),codomain(X0)) = codomain(X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(codomain(X0))),bind(Y,$fot(multiplication(codomain(X0),codomain(X0))))]]) ).
cnf(refute_0_83,plain,
multiplication(codomain(X0),codomain(X0)) = codomain(X0),
inference(resolve,[$cnf( $equal(codomain(X0),multiplication(codomain(X0),codomain(X0))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
( multiplication(addition(codomain(X0),X_269),codomain(X0)) != addition(multiplication(codomain(X0),codomain(X0)),multiplication(X_269,codomain(X0)))
| multiplication(codomain(X0),codomain(X0)) != codomain(X0)
| multiplication(addition(codomain(X0),X_269),codomain(X0)) = addition(codomain(X0),multiplication(X_269,codomain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(codomain(X0),X_269),codomain(X0)),addition(multiplication(codomain(X0),codomain(X0)),multiplication(X_269,codomain(X0)))) ),[1,0],$fot(codomain(X0))]]) ).
cnf(refute_0_85,plain,
( multiplication(addition(codomain(X0),X_269),codomain(X0)) != addition(multiplication(codomain(X0),codomain(X0)),multiplication(X_269,codomain(X0)))
| multiplication(addition(codomain(X0),X_269),codomain(X0)) = addition(codomain(X0),multiplication(X_269,codomain(X0))) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(X0),codomain(X0)),codomain(X0)) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
multiplication(addition(codomain(X0),X_269),codomain(X0)) = addition(codomain(X0),multiplication(X_269,codomain(X0))),
inference(resolve,[$cnf( $equal(multiplication(addition(codomain(X0),X_269),codomain(X0)),addition(multiplication(codomain(X0),codomain(X0)),multiplication(X_269,codomain(X0)))) )],[refute_0_27,refute_0_85]) ).
cnf(refute_0_87,plain,
multiplication(addition(X_268,one),X_270) = addition(multiplication(X_268,X_270),multiplication(one,X_270)),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_268)),bind(B,$fot(one)),bind(C,$fot(X_270))]]) ).
cnf(refute_0_88,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_89,plain,
multiplication(one,X_270) = X_270,
inference(subst,[],[refute_0_88:[bind(A,$fot(X_270))]]) ).
cnf(refute_0_90,plain,
( multiplication(addition(X_268,one),X_270) != addition(multiplication(X_268,X_270),multiplication(one,X_270))
| multiplication(one,X_270) != X_270
| multiplication(addition(X_268,one),X_270) = addition(multiplication(X_268,X_270),X_270) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_268,one),X_270),addition(multiplication(X_268,X_270),multiplication(one,X_270))) ),[1,1],$fot(X_270)]]) ).
cnf(refute_0_91,plain,
( multiplication(addition(X_268,one),X_270) != addition(multiplication(X_268,X_270),multiplication(one,X_270))
| multiplication(addition(X_268,one),X_270) = addition(multiplication(X_268,X_270),X_270) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_270),X_270) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
multiplication(addition(X_268,one),X_270) = addition(multiplication(X_268,X_270),X_270),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,one),X_270),addition(multiplication(X_268,X_270),multiplication(one,X_270))) )],[refute_0_87,refute_0_91]) ).
cnf(refute_0_93,plain,
addition(multiplication(X_268,X_270),X_270) = addition(X_270,multiplication(X_268,X_270)),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_270)),bind(B,$fot(multiplication(X_268,X_270)))]]) ).
cnf(refute_0_94,plain,
( addition(multiplication(X_268,X_270),X_270) != addition(X_270,multiplication(X_268,X_270))
| multiplication(addition(X_268,one),X_270) != addition(multiplication(X_268,X_270),X_270)
| multiplication(addition(X_268,one),X_270) = addition(X_270,multiplication(X_268,X_270)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_268,one),X_270),addition(multiplication(X_268,X_270),X_270)) ),[1],$fot(addition(X_270,multiplication(X_268,X_270)))]]) ).
cnf(refute_0_95,plain,
( multiplication(addition(X_268,one),X_270) != addition(multiplication(X_268,X_270),X_270)
| multiplication(addition(X_268,one),X_270) = addition(X_270,multiplication(X_268,X_270)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_268,X_270),X_270),addition(X_270,multiplication(X_268,X_270))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
multiplication(addition(X_268,one),X_270) = addition(X_270,multiplication(X_268,X_270)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,one),X_270),addition(multiplication(X_268,X_270),X_270)) )],[refute_0_92,refute_0_95]) ).
cnf(refute_0_97,plain,
( multiplication(addition(X_268,one),X_270) != addition(X_270,multiplication(X_268,X_270))
| addition(X_270,multiplication(X_268,X_270)) = multiplication(addition(X_268,one),X_270) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(X_268,one),X_270))),bind(Y,$fot(addition(X_270,multiplication(X_268,X_270))))]]) ).
cnf(refute_0_98,plain,
addition(X_270,multiplication(X_268,X_270)) = multiplication(addition(X_268,one),X_270),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,one),X_270),addition(X_270,multiplication(X_268,X_270))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
addition(codomain(X0),multiplication(X_269,codomain(X0))) = multiplication(addition(X_269,one),codomain(X0)),
inference(subst,[],[refute_0_98:[bind(X_268,$fot(X_269)),bind(X_270,$fot(codomain(X0)))]]) ).
cnf(refute_0_100,plain,
( addition(codomain(X0),multiplication(X_269,codomain(X0))) != multiplication(addition(X_269,one),codomain(X0))
| multiplication(addition(codomain(X0),X_269),codomain(X0)) != addition(codomain(X0),multiplication(X_269,codomain(X0)))
| multiplication(addition(codomain(X0),X_269),codomain(X0)) = multiplication(addition(X_269,one),codomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(codomain(X0),X_269),codomain(X0)),addition(codomain(X0),multiplication(X_269,codomain(X0)))) ),[1],$fot(multiplication(addition(X_269,one),codomain(X0)))]]) ).
cnf(refute_0_101,plain,
( multiplication(addition(codomain(X0),X_269),codomain(X0)) != addition(codomain(X0),multiplication(X_269,codomain(X0)))
| multiplication(addition(codomain(X0),X_269),codomain(X0)) = multiplication(addition(X_269,one),codomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(codomain(X0),multiplication(X_269,codomain(X0))),multiplication(addition(X_269,one),codomain(X0))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
multiplication(addition(codomain(X0),X_269),codomain(X0)) = multiplication(addition(X_269,one),codomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(addition(codomain(X0),X_269),codomain(X0)),addition(codomain(X0),multiplication(X_269,codomain(X0)))) )],[refute_0_86,refute_0_101]) ).
cnf(refute_0_103,plain,
multiplication(addition(codomain(X0),codomain(codomain(X0))),codomain(X0)) = multiplication(addition(codomain(codomain(X0)),one),codomain(X0)),
inference(subst,[],[refute_0_102:[bind(X_269,$fot(codomain(codomain(X0))))]]) ).
cnf(refute_0_104,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_105,plain,
multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(coantidomain(coantidomain(X0)),X1),
introduced(tautology,[refl,[$fot(multiplication(coantidomain(coantidomain(X0)),X1))]]) ).
cnf(refute_0_106,plain,
( coantidomain(coantidomain(X0)) != codomain(X0)
| multiplication(coantidomain(coantidomain(X0)),X1) != multiplication(coantidomain(coantidomain(X0)),X1)
| multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(codomain(X0),X1) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(coantidomain(X0)),X1),multiplication(coantidomain(coantidomain(X0)),X1)) ),[1,0],$fot(codomain(X0))]]) ).
cnf(refute_0_107,plain,
( coantidomain(coantidomain(X0)) != codomain(X0)
| multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(codomain(X0),X1) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(coantidomain(X0)),X1),multiplication(coantidomain(coantidomain(X0)),X1)) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(codomain(X0),X1),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_48,refute_0_107]) ).
cnf(refute_0_109,plain,
coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
introduced(tautology,[refl,[$fot(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))]]) ).
cnf(refute_0_110,plain,
( coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| multiplication(coantidomain(coantidomain(X0)),X1) != multiplication(codomain(X0),X1)
| coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(codomain(X0),X1)) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) ),[1,0],$fot(multiplication(codomain(X0),X1))]]) ).
cnf(refute_0_111,plain,
( multiplication(coantidomain(coantidomain(X0)),X1) != multiplication(codomain(X0),X1)
| coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(codomain(X0),X1)) ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(codomain(X0),X1)),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(coantidomain(X0)),X1),multiplication(codomain(X0),X1)) )],[refute_0_108,refute_0_111]) ).
cnf(refute_0_113,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
introduced(tautology,[refl,[$fot(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))))]]) ).
cnf(refute_0_114,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))
| coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) != coantidomain(multiplication(codomain(X0),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))) ),[1,1],$fot(coantidomain(multiplication(codomain(X0),X1)))]]) ).
cnf(refute_0_115,plain,
( coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) != coantidomain(multiplication(codomain(X0),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(codomain(X0),X1))) )],[refute_0_112,refute_0_115]) ).
cnf(refute_0_117,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1)))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) ),[0],$fot(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))))]]) ).
cnf(refute_0_118,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1)))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) != coantidomain(multiplication(codomain(X0),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),coantidomain(multiplication(codomain(X0),X1))) ),[0],$fot(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))]]) ).
cnf(refute_0_120,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)) ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(codomain(X0),X1))) )],[refute_0_112,refute_0_119]) ).
cnf(refute_0_121,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) )],[refute_0_118,refute_0_120]) ).
cnf(refute_0_122,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) )],[refute_0_104,refute_0_121]) ).
cnf(refute_0_123,plain,
addition(coantidomain(multiplication(X_860,one)),coantidomain(multiplication(codomain(X_860),one))) = coantidomain(multiplication(codomain(X_860),one)),
inference(subst,[],[refute_0_122:[bind(X0,$fot(X_860)),bind(X1,$fot(one))]]) ).
cnf(refute_0_124,plain,
multiplication(codomain(X_860),one) = codomain(X_860),
inference(subst,[],[refute_0_13:[bind(A,$fot(codomain(X_860)))]]) ).
cnf(refute_0_125,plain,
( addition(coantidomain(multiplication(X_860,one)),coantidomain(multiplication(codomain(X_860),one))) != coantidomain(multiplication(codomain(X_860),one))
| multiplication(codomain(X_860),one) != codomain(X_860)
| addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))) = coantidomain(multiplication(codomain(X_860),one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(X_860,one)),coantidomain(multiplication(codomain(X_860),one))),coantidomain(multiplication(codomain(X_860),one))) ),[0,1,0],$fot(codomain(X_860))]]) ).
cnf(refute_0_126,plain,
( addition(coantidomain(multiplication(X_860,one)),coantidomain(multiplication(codomain(X_860),one))) != coantidomain(multiplication(codomain(X_860),one))
| addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))) = coantidomain(multiplication(codomain(X_860),one)) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(X_860),one),codomain(X_860)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))) = coantidomain(multiplication(codomain(X_860),one)),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X_860,one)),coantidomain(multiplication(codomain(X_860),one))),coantidomain(multiplication(codomain(X_860),one))) )],[refute_0_123,refute_0_126]) ).
cnf(refute_0_128,plain,
addition(coantidomain(codomain(X_860)),coantidomain(X_860)) = addition(coantidomain(X_860),coantidomain(codomain(X_860))),
inference(subst,[],[refute_0_6:[bind(A,$fot(coantidomain(X_860))),bind(B,$fot(coantidomain(codomain(X_860))))]]) ).
cnf(refute_0_129,plain,
multiplication(X_860,one) = X_860,
inference(subst,[],[refute_0_13:[bind(A,$fot(X_860))]]) ).
cnf(refute_0_130,plain,
coantidomain(multiplication(X_860,one)) = coantidomain(multiplication(X_860,one)),
introduced(tautology,[refl,[$fot(coantidomain(multiplication(X_860,one)))]]) ).
cnf(refute_0_131,plain,
( coantidomain(multiplication(X_860,one)) != coantidomain(multiplication(X_860,one))
| multiplication(X_860,one) != X_860
| coantidomain(multiplication(X_860,one)) = coantidomain(X_860) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(multiplication(X_860,one)),coantidomain(multiplication(X_860,one))) ),[1,0],$fot(X_860)]]) ).
cnf(refute_0_132,plain,
( multiplication(X_860,one) != X_860
| coantidomain(multiplication(X_860,one)) = coantidomain(X_860) ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(X_860,one)),coantidomain(multiplication(X_860,one))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
coantidomain(multiplication(X_860,one)) = coantidomain(X_860),
inference(resolve,[$cnf( $equal(multiplication(X_860,one),X_860) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))) = addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))),
introduced(tautology,[refl,[$fot(addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))))]]) ).
cnf(refute_0_135,plain,
( addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))) != addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one)))
| coantidomain(multiplication(X_860,one)) != coantidomain(X_860)
| addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))) = addition(coantidomain(codomain(X_860)),coantidomain(X_860)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))),addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one)))) ),[1,1],$fot(coantidomain(X_860))]]) ).
cnf(refute_0_136,plain,
( coantidomain(multiplication(X_860,one)) != coantidomain(X_860)
| addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))) = addition(coantidomain(codomain(X_860)),coantidomain(X_860)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))),addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one)))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))) = addition(coantidomain(codomain(X_860)),coantidomain(X_860)),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(X_860,one)),coantidomain(X_860)) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_139,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_138]) ).
cnf(refute_0_140,plain,
( addition(coantidomain(codomain(X_860)),coantidomain(X_860)) != addition(coantidomain(X_860),coantidomain(codomain(X_860)))
| addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))) != addition(coantidomain(codomain(X_860)),coantidomain(X_860))
| addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))) = addition(coantidomain(X_860),coantidomain(codomain(X_860))) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))))),bind(Y,$fot(addition(coantidomain(codomain(X_860)),coantidomain(X_860)))),bind(Z,$fot(addition(coantidomain(X_860),coantidomain(codomain(X_860)))))]]) ).
cnf(refute_0_141,plain,
( addition(coantidomain(codomain(X_860)),coantidomain(X_860)) != addition(coantidomain(X_860),coantidomain(codomain(X_860)))
| addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))) = addition(coantidomain(X_860),coantidomain(codomain(X_860))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))),addition(coantidomain(codomain(X_860)),coantidomain(X_860))) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))) = addition(coantidomain(X_860),coantidomain(codomain(X_860))),
inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_860)),coantidomain(X_860)),addition(coantidomain(X_860),coantidomain(codomain(X_860)))) )],[refute_0_128,refute_0_141]) ).
cnf(refute_0_143,plain,
addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))) = addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))),
inference(subst,[],[refute_0_6:[bind(A,$fot(coantidomain(codomain(X_860)))),bind(B,$fot(coantidomain(multiplication(X_860,one))))]]) ).
cnf(refute_0_144,plain,
( addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))) != addition(coantidomain(X_860),coantidomain(codomain(X_860)))
| addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))) != addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one)))
| addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))) = addition(coantidomain(X_860),coantidomain(codomain(X_860))) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))))),bind(Y,$fot(addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))))),bind(Z,$fot(addition(coantidomain(X_860),coantidomain(codomain(X_860)))))]]) ).
cnf(refute_0_145,plain,
( addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))) != addition(coantidomain(X_860),coantidomain(codomain(X_860)))
| addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))) = addition(coantidomain(X_860),coantidomain(codomain(X_860))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))),addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one)))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))) = addition(coantidomain(X_860),coantidomain(codomain(X_860))),
inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X_860)),coantidomain(multiplication(X_860,one))),addition(coantidomain(X_860),coantidomain(codomain(X_860)))) )],[refute_0_142,refute_0_145]) ).
cnf(refute_0_147,plain,
( addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))) != addition(coantidomain(X_860),coantidomain(codomain(X_860)))
| addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))) != coantidomain(multiplication(codomain(X_860),one))
| addition(coantidomain(X_860),coantidomain(codomain(X_860))) = coantidomain(multiplication(codomain(X_860),one)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))),coantidomain(multiplication(codomain(X_860),one))) ),[0],$fot(addition(coantidomain(X_860),coantidomain(codomain(X_860))))]]) ).
cnf(refute_0_148,plain,
( addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))) != coantidomain(multiplication(codomain(X_860),one))
| addition(coantidomain(X_860),coantidomain(codomain(X_860))) = coantidomain(multiplication(codomain(X_860),one)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))),addition(coantidomain(X_860),coantidomain(codomain(X_860)))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
coantidomain(multiplication(codomain(X_860),one)) = coantidomain(multiplication(codomain(X_860),one)),
introduced(tautology,[refl,[$fot(coantidomain(multiplication(codomain(X_860),one)))]]) ).
cnf(refute_0_150,plain,
( coantidomain(multiplication(codomain(X_860),one)) != coantidomain(multiplication(codomain(X_860),one))
| multiplication(codomain(X_860),one) != codomain(X_860)
| coantidomain(multiplication(codomain(X_860),one)) = coantidomain(codomain(X_860)) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(multiplication(codomain(X_860),one)),coantidomain(multiplication(codomain(X_860),one))) ),[1,0],$fot(codomain(X_860))]]) ).
cnf(refute_0_151,plain,
( multiplication(codomain(X_860),one) != codomain(X_860)
| coantidomain(multiplication(codomain(X_860),one)) = coantidomain(codomain(X_860)) ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(X_860),one)),coantidomain(multiplication(codomain(X_860),one))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
coantidomain(multiplication(codomain(X_860),one)) = coantidomain(codomain(X_860)),
inference(resolve,[$cnf( $equal(multiplication(codomain(X_860),one),codomain(X_860)) )],[refute_0_124,refute_0_151]) ).
cnf(refute_0_153,plain,
( addition(coantidomain(X_860),coantidomain(codomain(X_860))) != coantidomain(multiplication(codomain(X_860),one))
| coantidomain(multiplication(codomain(X_860),one)) != coantidomain(codomain(X_860))
| addition(coantidomain(X_860),coantidomain(codomain(X_860))) = coantidomain(codomain(X_860)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(coantidomain(X_860),coantidomain(codomain(X_860))),coantidomain(codomain(X_860))) ),[0],$fot(coantidomain(multiplication(codomain(X_860),one)))]]) ).
cnf(refute_0_154,plain,
( addition(coantidomain(X_860),coantidomain(codomain(X_860))) != coantidomain(multiplication(codomain(X_860),one))
| addition(coantidomain(X_860),coantidomain(codomain(X_860))) = coantidomain(codomain(X_860)) ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(X_860),one)),coantidomain(codomain(X_860))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
( addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))) != coantidomain(multiplication(codomain(X_860),one))
| addition(coantidomain(X_860),coantidomain(codomain(X_860))) = coantidomain(codomain(X_860)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_860),coantidomain(codomain(X_860))),coantidomain(multiplication(codomain(X_860),one))) )],[refute_0_148,refute_0_154]) ).
cnf(refute_0_156,plain,
addition(coantidomain(X_860),coantidomain(codomain(X_860))) = coantidomain(codomain(X_860)),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X_860,one)),coantidomain(codomain(X_860))),coantidomain(multiplication(codomain(X_860),one))) )],[refute_0_127,refute_0_155]) ).
cnf(refute_0_157,plain,
addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(coantidomain(X_7)))) = coantidomain(codomain(coantidomain(X_7))),
inference(subst,[],[refute_0_156:[bind(X_860,$fot(coantidomain(X_7)))]]) ).
cnf(refute_0_158,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(coantidomain(X_7)))) != coantidomain(codomain(coantidomain(X_7)))
| codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
| addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = coantidomain(codomain(coantidomain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(coantidomain(X_7)))),coantidomain(codomain(coantidomain(X_7)))) ),[0,1,0],$fot(coantidomain(codomain(X_7)))]]) ).
cnf(refute_0_159,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(coantidomain(X_7)))) != coantidomain(codomain(coantidomain(X_7)))
| addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = coantidomain(codomain(coantidomain(X_7))) ),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) )],[refute_0_66,refute_0_158]) ).
cnf(refute_0_160,plain,
addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = coantidomain(codomain(coantidomain(X_7))),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(codomain(coantidomain(X_7)))),coantidomain(codomain(coantidomain(X_7)))) )],[refute_0_157,refute_0_159]) ).
cnf(refute_0_161,plain,
coantidomain(coantidomain(codomain(X_7))) = codomain(codomain(X_7)),
inference(subst,[],[refute_0_48:[bind(X0,$fot(codomain(X_7)))]]) ).
cnf(refute_0_162,plain,
addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))),
introduced(tautology,[refl,[$fot(addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))))]]) ).
cnf(refute_0_163,plain,
( addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) != addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7))))
| coantidomain(coantidomain(codomain(X_7))) != codomain(codomain(X_7))
| addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),codomain(codomain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))),addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7))))) ),[1,1],$fot(codomain(codomain(X_7)))]]) ).
cnf(refute_0_164,plain,
( coantidomain(coantidomain(codomain(X_7))) != codomain(codomain(X_7))
| addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),codomain(codomain(X_7))) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))),addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7))))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),codomain(codomain(X_7))),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(codomain(X_7))),codomain(codomain(X_7))) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))),
introduced(tautology,[refl,[$fot(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))))]]) ).
cnf(refute_0_167,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) != addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7))))
| coantidomain(coantidomain(X_7)) != codomain(X_7)
| addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))),addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7))))) ),[1,0],$fot(codomain(X_7))]]) ).
cnf(refute_0_168,plain,
( coantidomain(coantidomain(X_7)) != codomain(X_7)
| addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))),addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7))))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X_7)),codomain(X_7)) )],[refute_0_63,refute_0_168]) ).
cnf(refute_0_170,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) != addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7))))
| addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) != addition(codomain(X_7),codomain(codomain(X_7)))
| addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),codomain(codomain(X_7))) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))))),bind(Y,$fot(addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))))),bind(Z,$fot(addition(codomain(X_7),codomain(codomain(X_7)))))]]) ).
cnf(refute_0_171,plain,
( addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))) != addition(codomain(X_7),codomain(codomain(X_7)))
| addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),codomain(codomain(X_7))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))),addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7))))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) = addition(codomain(X_7),codomain(codomain(X_7))),
inference(resolve,[$cnf( $equal(addition(codomain(X_7),coantidomain(coantidomain(codomain(X_7)))),addition(codomain(X_7),codomain(codomain(X_7)))) )],[refute_0_165,refute_0_171]) ).
cnf(refute_0_173,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) != addition(codomain(X_7),codomain(codomain(X_7)))
| addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) != coantidomain(codomain(coantidomain(X_7)))
| addition(codomain(X_7),codomain(codomain(X_7))) = coantidomain(codomain(coantidomain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))),coantidomain(codomain(coantidomain(X_7)))) ),[0],$fot(addition(codomain(X_7),codomain(codomain(X_7))))]]) ).
cnf(refute_0_174,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) != coantidomain(codomain(coantidomain(X_7)))
| addition(codomain(X_7),codomain(codomain(X_7))) = coantidomain(codomain(coantidomain(X_7))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))),addition(codomain(X_7),codomain(codomain(X_7)))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
coantidomain(codomain(coantidomain(X_7))) = coantidomain(codomain(coantidomain(X_7))),
introduced(tautology,[refl,[$fot(coantidomain(codomain(coantidomain(X_7))))]]) ).
cnf(refute_0_176,plain,
( coantidomain(codomain(coantidomain(X_7))) != coantidomain(codomain(coantidomain(X_7)))
| codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
| coantidomain(codomain(coantidomain(X_7))) = coantidomain(coantidomain(codomain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(codomain(coantidomain(X_7))),coantidomain(codomain(coantidomain(X_7)))) ),[1,0],$fot(coantidomain(codomain(X_7)))]]) ).
cnf(refute_0_177,plain,
( codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
| coantidomain(codomain(coantidomain(X_7))) = coantidomain(coantidomain(codomain(X_7))) ),
inference(resolve,[$cnf( $equal(coantidomain(codomain(coantidomain(X_7))),coantidomain(codomain(coantidomain(X_7)))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
coantidomain(codomain(coantidomain(X_7))) = coantidomain(coantidomain(codomain(X_7))),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) )],[refute_0_66,refute_0_177]) ).
cnf(refute_0_179,plain,
( coantidomain(coantidomain(codomain(X_7))) != codomain(codomain(X_7))
| coantidomain(codomain(coantidomain(X_7))) != coantidomain(coantidomain(codomain(X_7)))
| coantidomain(codomain(coantidomain(X_7))) = codomain(codomain(X_7)) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(coantidomain(codomain(coantidomain(X_7))))),bind(Y,$fot(coantidomain(coantidomain(codomain(X_7))))),bind(Z,$fot(codomain(codomain(X_7))))]]) ).
cnf(refute_0_180,plain,
( coantidomain(coantidomain(codomain(X_7))) != codomain(codomain(X_7))
| coantidomain(codomain(coantidomain(X_7))) = codomain(codomain(X_7)) ),
inference(resolve,[$cnf( $equal(coantidomain(codomain(coantidomain(X_7))),coantidomain(coantidomain(codomain(X_7)))) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
coantidomain(codomain(coantidomain(X_7))) = codomain(codomain(X_7)),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(codomain(X_7))),codomain(codomain(X_7))) )],[refute_0_161,refute_0_180]) ).
cnf(refute_0_182,plain,
( addition(codomain(X_7),codomain(codomain(X_7))) != coantidomain(codomain(coantidomain(X_7)))
| coantidomain(codomain(coantidomain(X_7))) != codomain(codomain(X_7))
| addition(codomain(X_7),codomain(codomain(X_7))) = codomain(codomain(X_7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(codomain(X_7),codomain(codomain(X_7))),codomain(codomain(X_7))) ),[0],$fot(coantidomain(codomain(coantidomain(X_7))))]]) ).
cnf(refute_0_183,plain,
( addition(codomain(X_7),codomain(codomain(X_7))) != coantidomain(codomain(coantidomain(X_7)))
| addition(codomain(X_7),codomain(codomain(X_7))) = codomain(codomain(X_7)) ),
inference(resolve,[$cnf( $equal(coantidomain(codomain(coantidomain(X_7))),codomain(codomain(X_7))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
( addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))) != coantidomain(codomain(coantidomain(X_7)))
| addition(codomain(X_7),codomain(codomain(X_7))) = codomain(codomain(X_7)) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_7),codomain(codomain(X_7))),coantidomain(codomain(coantidomain(X_7)))) )],[refute_0_174,refute_0_183]) ).
cnf(refute_0_185,plain,
addition(codomain(X_7),codomain(codomain(X_7))) = codomain(codomain(X_7)),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X_7)),coantidomain(coantidomain(codomain(X_7)))),coantidomain(codomain(coantidomain(X_7)))) )],[refute_0_160,refute_0_184]) ).
cnf(refute_0_186,plain,
addition(codomain(X0),codomain(codomain(X0))) = codomain(codomain(X0)),
inference(subst,[],[refute_0_185:[bind(X_7,$fot(X0))]]) ).
cnf(refute_0_187,plain,
( addition(codomain(X0),codomain(codomain(X0))) != codomain(codomain(X0))
| multiplication(addition(codomain(X0),codomain(codomain(X0))),codomain(X0)) != multiplication(addition(codomain(codomain(X0)),one),codomain(X0))
| multiplication(codomain(codomain(X0)),codomain(X0)) = multiplication(addition(codomain(codomain(X0)),one),codomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(codomain(X0),codomain(codomain(X0))),codomain(X0)),multiplication(addition(codomain(codomain(X0)),one),codomain(X0))) ),[0,0],$fot(codomain(codomain(X0)))]]) ).
cnf(refute_0_188,plain,
( multiplication(addition(codomain(X0),codomain(codomain(X0))),codomain(X0)) != multiplication(addition(codomain(codomain(X0)),one),codomain(X0))
| multiplication(codomain(codomain(X0)),codomain(X0)) = multiplication(addition(codomain(codomain(X0)),one),codomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(codomain(X0),codomain(codomain(X0))),codomain(codomain(X0))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
multiplication(codomain(codomain(X0)),codomain(X0)) = multiplication(addition(codomain(codomain(X0)),one),codomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(addition(codomain(X0),codomain(codomain(X0))),codomain(X0)),multiplication(addition(codomain(codomain(X0)),one),codomain(X0))) )],[refute_0_103,refute_0_188]) ).
cnf(refute_0_190,plain,
multiplication(codomain(codomain(X_907)),addition(codomain(X_907),coantidomain(codomain(codomain(X_907))))) = multiplication(codomain(codomain(X_907)),codomain(X_907)),
inference(subst,[],[refute_0_39:[bind(X_140,$fot(codomain(codomain(X_907)))),bind(X_141,$fot(codomain(X_907)))]]) ).
cnf(refute_0_191,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_192,plain,
addition(codomain(X0),addition(coantidomain(codomain(X0)),X_103)) = addition(addition(codomain(X0),coantidomain(codomain(X0))),X_103),
inference(subst,[],[refute_0_191:[bind(A,$fot(codomain(X0))),bind(B,$fot(coantidomain(codomain(X0)))),bind(C,$fot(X_103))]]) ).
cnf(refute_0_193,plain,
( addition(codomain(X0),addition(coantidomain(codomain(X0)),X_103)) != addition(addition(codomain(X0),coantidomain(codomain(X0))),X_103)
| addition(codomain(X0),coantidomain(codomain(X0))) != one
| addition(codomain(X0),addition(coantidomain(codomain(X0)),X_103)) = addition(one,X_103) ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X0),addition(coantidomain(codomain(X0)),X_103)),addition(addition(codomain(X0),coantidomain(codomain(X0))),X_103)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_194,plain,
( addition(codomain(X0),addition(coantidomain(codomain(X0)),X_103)) != addition(addition(codomain(X0),coantidomain(codomain(X0))),X_103)
| addition(codomain(X0),addition(coantidomain(codomain(X0)),X_103)) = addition(one,X_103) ),
inference(resolve,[$cnf( $equal(addition(codomain(X0),coantidomain(codomain(X0))),one) )],[refute_0_74,refute_0_193]) ).
cnf(refute_0_195,plain,
addition(codomain(X0),addition(coantidomain(codomain(X0)),X_103)) = addition(one,X_103),
inference(resolve,[$cnf( $equal(addition(codomain(X0),addition(coantidomain(codomain(X0)),X_103)),addition(addition(codomain(X0),coantidomain(codomain(X0))),X_103)) )],[refute_0_192,refute_0_194]) ).
cnf(refute_0_196,plain,
addition(codomain(X0),addition(coantidomain(codomain(X0)),coantidomain(codomain(codomain(X0))))) = addition(one,coantidomain(codomain(codomain(X0)))),
inference(subst,[],[refute_0_195:[bind(X_103,$fot(coantidomain(codomain(codomain(X0)))))]]) ).
cnf(refute_0_197,plain,
addition(coantidomain(codomain(X0)),coantidomain(codomain(codomain(X0)))) = coantidomain(codomain(codomain(X0))),
inference(subst,[],[refute_0_156:[bind(X_860,$fot(codomain(X0)))]]) ).
cnf(refute_0_198,plain,
( addition(coantidomain(codomain(X0)),coantidomain(codomain(codomain(X0)))) != coantidomain(codomain(codomain(X0)))
| addition(codomain(X0),addition(coantidomain(codomain(X0)),coantidomain(codomain(codomain(X0))))) != addition(one,coantidomain(codomain(codomain(X0))))
| addition(codomain(X0),coantidomain(codomain(codomain(X0)))) = addition(one,coantidomain(codomain(codomain(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X0),addition(coantidomain(codomain(X0)),coantidomain(codomain(codomain(X0))))),addition(one,coantidomain(codomain(codomain(X0))))) ),[0,1],$fot(coantidomain(codomain(codomain(X0))))]]) ).
cnf(refute_0_199,plain,
( addition(codomain(X0),addition(coantidomain(codomain(X0)),coantidomain(codomain(codomain(X0))))) != addition(one,coantidomain(codomain(codomain(X0))))
| addition(codomain(X0),coantidomain(codomain(codomain(X0)))) = addition(one,coantidomain(codomain(codomain(X0)))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(codomain(X0)),coantidomain(codomain(codomain(X0)))),coantidomain(codomain(codomain(X0)))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
addition(codomain(X0),coantidomain(codomain(codomain(X0)))) = addition(one,coantidomain(codomain(codomain(X0)))),
inference(resolve,[$cnf( $equal(addition(codomain(X0),addition(coantidomain(codomain(X0)),coantidomain(codomain(codomain(X0))))),addition(one,coantidomain(codomain(codomain(X0))))) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
addition(coantidomain(X0),addition(codomain(X0),X_103)) = addition(addition(coantidomain(X0),codomain(X0)),X_103),
inference(subst,[],[refute_0_191:[bind(A,$fot(coantidomain(X0))),bind(B,$fot(codomain(X0))),bind(C,$fot(X_103))]]) ).
cnf(refute_0_202,plain,
( addition(coantidomain(X0),addition(codomain(X0),X_103)) != addition(addition(coantidomain(X0),codomain(X0)),X_103)
| addition(coantidomain(X0),codomain(X0)) != one
| addition(coantidomain(X0),addition(codomain(X0),X_103)) = addition(one,X_103) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),addition(codomain(X0),X_103)),addition(addition(coantidomain(X0),codomain(X0)),X_103)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_203,plain,
( addition(coantidomain(X0),addition(codomain(X0),X_103)) != addition(addition(coantidomain(X0),codomain(X0)),X_103)
| addition(coantidomain(X0),addition(codomain(X0),X_103)) = addition(one,X_103) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),codomain(X0)),one) )],[refute_0_55,refute_0_202]) ).
cnf(refute_0_204,plain,
addition(coantidomain(X0),addition(codomain(X0),X_103)) = addition(one,X_103),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),addition(codomain(X0),X_103)),addition(addition(coantidomain(X0),codomain(X0)),X_103)) )],[refute_0_201,refute_0_203]) ).
cnf(refute_0_205,plain,
addition(coantidomain(X_132),addition(codomain(X_132),codomain(X_132))) = addition(one,codomain(X_132)),
inference(subst,[],[refute_0_204:[bind(X0,$fot(X_132)),bind(X_103,$fot(codomain(X_132)))]]) ).
cnf(refute_0_206,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_207,plain,
addition(codomain(X_132),codomain(X_132)) = codomain(X_132),
inference(subst,[],[refute_0_206:[bind(A,$fot(codomain(X_132)))]]) ).
cnf(refute_0_208,plain,
( addition(coantidomain(X_132),addition(codomain(X_132),codomain(X_132))) != addition(one,codomain(X_132))
| addition(codomain(X_132),codomain(X_132)) != codomain(X_132)
| addition(coantidomain(X_132),codomain(X_132)) = addition(one,codomain(X_132)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_132),addition(codomain(X_132),codomain(X_132))),addition(one,codomain(X_132))) ),[0,1],$fot(codomain(X_132))]]) ).
cnf(refute_0_209,plain,
( addition(coantidomain(X_132),addition(codomain(X_132),codomain(X_132))) != addition(one,codomain(X_132))
| addition(coantidomain(X_132),codomain(X_132)) = addition(one,codomain(X_132)) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_132),codomain(X_132)),codomain(X_132)) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
addition(coantidomain(X_132),codomain(X_132)) = addition(one,codomain(X_132)),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_132),addition(codomain(X_132),codomain(X_132))),addition(one,codomain(X_132))) )],[refute_0_205,refute_0_209]) ).
cnf(refute_0_211,plain,
addition(coantidomain(X_132),codomain(X_132)) = one,
inference(subst,[],[refute_0_55:[bind(X0,$fot(X_132))]]) ).
cnf(refute_0_212,plain,
( addition(coantidomain(X_132),codomain(X_132)) != addition(one,codomain(X_132))
| addition(coantidomain(X_132),codomain(X_132)) != one
| one = addition(one,codomain(X_132)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_132),codomain(X_132)),addition(one,codomain(X_132))) ),[0],$fot(one)]]) ).
cnf(refute_0_213,plain,
( addition(coantidomain(X_132),codomain(X_132)) != addition(one,codomain(X_132))
| one = addition(one,codomain(X_132)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_132),codomain(X_132)),one) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
one = addition(one,codomain(X_132)),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_132),codomain(X_132)),addition(one,codomain(X_132))) )],[refute_0_210,refute_0_213]) ).
cnf(refute_0_215,plain,
one = addition(one,codomain(coantidomain(X_7))),
inference(subst,[],[refute_0_214:[bind(X_132,$fot(coantidomain(X_7)))]]) ).
cnf(refute_0_216,plain,
( codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
| one != addition(one,codomain(coantidomain(X_7)))
| one = addition(one,coantidomain(codomain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,codomain(coantidomain(X_7)))) ),[1,1],$fot(coantidomain(codomain(X_7)))]]) ).
cnf(refute_0_217,plain,
( one != addition(one,codomain(coantidomain(X_7)))
| one = addition(one,coantidomain(codomain(X_7))) ),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) )],[refute_0_66,refute_0_216]) ).
cnf(refute_0_218,plain,
one = addition(one,coantidomain(codomain(X_7))),
inference(resolve,[$cnf( $equal(one,addition(one,codomain(coantidomain(X_7)))) )],[refute_0_215,refute_0_217]) ).
cnf(refute_0_219,plain,
addition(coantidomain(X_132),addition(codomain(X_132),coantidomain(codomain(X_132)))) = addition(one,coantidomain(codomain(X_132))),
inference(subst,[],[refute_0_204:[bind(X0,$fot(X_132)),bind(X_103,$fot(coantidomain(codomain(X_132))))]]) ).
cnf(refute_0_220,plain,
addition(codomain(X_132),coantidomain(codomain(X_132))) = one,
inference(subst,[],[refute_0_74:[bind(X0,$fot(X_132))]]) ).
cnf(refute_0_221,plain,
( addition(coantidomain(X_132),addition(codomain(X_132),coantidomain(codomain(X_132)))) != addition(one,coantidomain(codomain(X_132)))
| addition(codomain(X_132),coantidomain(codomain(X_132))) != one
| addition(coantidomain(X_132),one) = addition(one,coantidomain(codomain(X_132))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_132),addition(codomain(X_132),coantidomain(codomain(X_132)))),addition(one,coantidomain(codomain(X_132)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_222,plain,
( addition(coantidomain(X_132),addition(codomain(X_132),coantidomain(codomain(X_132)))) != addition(one,coantidomain(codomain(X_132)))
| addition(coantidomain(X_132),one) = addition(one,coantidomain(codomain(X_132))) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_132),coantidomain(codomain(X_132))),one) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
addition(coantidomain(X_132),one) = addition(one,coantidomain(codomain(X_132))),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_132),addition(codomain(X_132),coantidomain(codomain(X_132)))),addition(one,coantidomain(codomain(X_132)))) )],[refute_0_219,refute_0_222]) ).
cnf(refute_0_224,plain,
addition(coantidomain(X_132),one) = addition(one,coantidomain(X_132)),
inference(subst,[],[refute_0_6:[bind(A,$fot(one)),bind(B,$fot(coantidomain(X_132)))]]) ).
cnf(refute_0_225,plain,
( addition(coantidomain(X_132),one) != addition(one,coantidomain(X_132))
| addition(coantidomain(X_132),one) != addition(one,coantidomain(codomain(X_132)))
| addition(one,coantidomain(X_132)) = addition(one,coantidomain(codomain(X_132))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_132),one),addition(one,coantidomain(codomain(X_132)))) ),[0],$fot(addition(one,coantidomain(X_132)))]]) ).
cnf(refute_0_226,plain,
( addition(coantidomain(X_132),one) != addition(one,coantidomain(codomain(X_132)))
| addition(one,coantidomain(X_132)) = addition(one,coantidomain(codomain(X_132))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_132),one),addition(one,coantidomain(X_132))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
addition(one,coantidomain(X_132)) = addition(one,coantidomain(codomain(X_132))),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_132),one),addition(one,coantidomain(codomain(X_132)))) )],[refute_0_223,refute_0_226]) ).
cnf(refute_0_228,plain,
( addition(one,coantidomain(X_132)) != addition(one,coantidomain(codomain(X_132)))
| addition(one,coantidomain(codomain(X_132))) = addition(one,coantidomain(X_132)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(one,coantidomain(X_132)))),bind(Y,$fot(addition(one,coantidomain(codomain(X_132)))))]]) ).
cnf(refute_0_229,plain,
addition(one,coantidomain(codomain(X_132))) = addition(one,coantidomain(X_132)),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(X_132)),addition(one,coantidomain(codomain(X_132)))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
addition(one,coantidomain(codomain(X_7))) = addition(one,coantidomain(X_7)),
inference(subst,[],[refute_0_229:[bind(X_132,$fot(X_7))]]) ).
cnf(refute_0_231,plain,
( addition(one,coantidomain(codomain(X_7))) != addition(one,coantidomain(X_7))
| one != addition(one,coantidomain(codomain(X_7)))
| one = addition(one,coantidomain(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,coantidomain(codomain(X_7)))) ),[1],$fot(addition(one,coantidomain(X_7)))]]) ).
cnf(refute_0_232,plain,
( one != addition(one,coantidomain(codomain(X_7)))
| one = addition(one,coantidomain(X_7)) ),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(codomain(X_7))),addition(one,coantidomain(X_7))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
one = addition(one,coantidomain(X_7)),
inference(resolve,[$cnf( $equal(one,addition(one,coantidomain(codomain(X_7)))) )],[refute_0_218,refute_0_232]) ).
cnf(refute_0_234,plain,
( one != addition(one,coantidomain(X_7))
| addition(one,coantidomain(X_7)) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(addition(one,coantidomain(X_7))))]]) ).
cnf(refute_0_235,plain,
addition(one,coantidomain(X_7)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,coantidomain(X_7))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
addition(one,coantidomain(codomain(codomain(X0)))) = one,
inference(subst,[],[refute_0_235:[bind(X_7,$fot(codomain(codomain(X0))))]]) ).
cnf(refute_0_237,plain,
( addition(codomain(X0),coantidomain(codomain(codomain(X0)))) != addition(one,coantidomain(codomain(codomain(X0))))
| addition(one,coantidomain(codomain(codomain(X0)))) != one
| addition(codomain(X0),coantidomain(codomain(codomain(X0)))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(codomain(X0),coantidomain(codomain(codomain(X0)))),one) ),[0],$fot(addition(one,coantidomain(codomain(codomain(X0)))))]]) ).
cnf(refute_0_238,plain,
( addition(codomain(X0),coantidomain(codomain(codomain(X0)))) != addition(one,coantidomain(codomain(codomain(X0))))
| addition(codomain(X0),coantidomain(codomain(codomain(X0)))) = one ),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(codomain(codomain(X0)))),one) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
addition(codomain(X0),coantidomain(codomain(codomain(X0)))) = one,
inference(resolve,[$cnf( $equal(addition(codomain(X0),coantidomain(codomain(codomain(X0)))),addition(one,coantidomain(codomain(codomain(X0))))) )],[refute_0_200,refute_0_238]) ).
cnf(refute_0_240,plain,
addition(codomain(X_907),coantidomain(codomain(codomain(X_907)))) = one,
inference(subst,[],[refute_0_239:[bind(X0,$fot(X_907))]]) ).
cnf(refute_0_241,plain,
( addition(codomain(X_907),coantidomain(codomain(codomain(X_907)))) != one
| multiplication(codomain(codomain(X_907)),addition(codomain(X_907),coantidomain(codomain(codomain(X_907))))) != multiplication(codomain(codomain(X_907)),codomain(X_907))
| multiplication(codomain(codomain(X_907)),one) = multiplication(codomain(codomain(X_907)),codomain(X_907)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(codomain(X_907)),addition(codomain(X_907),coantidomain(codomain(codomain(X_907))))),multiplication(codomain(codomain(X_907)),codomain(X_907))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_242,plain,
( multiplication(codomain(codomain(X_907)),addition(codomain(X_907),coantidomain(codomain(codomain(X_907))))) != multiplication(codomain(codomain(X_907)),codomain(X_907))
| multiplication(codomain(codomain(X_907)),one) = multiplication(codomain(codomain(X_907)),codomain(X_907)) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_907),coantidomain(codomain(codomain(X_907)))),one) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
multiplication(codomain(codomain(X_907)),one) = multiplication(codomain(codomain(X_907)),codomain(X_907)),
inference(resolve,[$cnf( $equal(multiplication(codomain(codomain(X_907)),addition(codomain(X_907),coantidomain(codomain(codomain(X_907))))),multiplication(codomain(codomain(X_907)),codomain(X_907))) )],[refute_0_190,refute_0_242]) ).
cnf(refute_0_244,plain,
multiplication(codomain(codomain(X_907)),one) = codomain(codomain(X_907)),
inference(subst,[],[refute_0_13:[bind(A,$fot(codomain(codomain(X_907))))]]) ).
cnf(refute_0_245,plain,
( multiplication(codomain(codomain(X_907)),one) != codomain(codomain(X_907))
| multiplication(codomain(codomain(X_907)),one) != multiplication(codomain(codomain(X_907)),codomain(X_907))
| codomain(codomain(X_907)) = multiplication(codomain(codomain(X_907)),codomain(X_907)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(codomain(X_907)),one),multiplication(codomain(codomain(X_907)),codomain(X_907))) ),[0],$fot(codomain(codomain(X_907)))]]) ).
cnf(refute_0_246,plain,
( multiplication(codomain(codomain(X_907)),one) != multiplication(codomain(codomain(X_907)),codomain(X_907))
| codomain(codomain(X_907)) = multiplication(codomain(codomain(X_907)),codomain(X_907)) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(codomain(X_907)),one),codomain(codomain(X_907))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
codomain(codomain(X_907)) = multiplication(codomain(codomain(X_907)),codomain(X_907)),
inference(resolve,[$cnf( $equal(multiplication(codomain(codomain(X_907)),one),multiplication(codomain(codomain(X_907)),codomain(X_907))) )],[refute_0_243,refute_0_246]) ).
cnf(refute_0_248,plain,
( codomain(codomain(X_907)) != multiplication(codomain(codomain(X_907)),codomain(X_907))
| multiplication(codomain(codomain(X_907)),codomain(X_907)) = codomain(codomain(X_907)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(codomain(codomain(X_907)))),bind(Y,$fot(multiplication(codomain(codomain(X_907)),codomain(X_907))))]]) ).
cnf(refute_0_249,plain,
multiplication(codomain(codomain(X_907)),codomain(X_907)) = codomain(codomain(X_907)),
inference(resolve,[$cnf( $equal(codomain(codomain(X_907)),multiplication(codomain(codomain(X_907)),codomain(X_907))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
multiplication(codomain(codomain(X0)),codomain(X0)) = codomain(codomain(X0)),
inference(subst,[],[refute_0_249:[bind(X_907,$fot(X0))]]) ).
cnf(refute_0_251,plain,
( multiplication(codomain(codomain(X0)),codomain(X0)) != codomain(codomain(X0))
| multiplication(codomain(codomain(X0)),codomain(X0)) != multiplication(addition(codomain(codomain(X0)),one),codomain(X0))
| codomain(codomain(X0)) = multiplication(addition(codomain(codomain(X0)),one),codomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(codomain(X0)),codomain(X0)),multiplication(addition(codomain(codomain(X0)),one),codomain(X0))) ),[0],$fot(codomain(codomain(X0)))]]) ).
cnf(refute_0_252,plain,
( multiplication(codomain(codomain(X0)),codomain(X0)) != multiplication(addition(codomain(codomain(X0)),one),codomain(X0))
| codomain(codomain(X0)) = multiplication(addition(codomain(codomain(X0)),one),codomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(codomain(X0)),codomain(X0)),codomain(codomain(X0))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
multiplication(one,codomain(X0)) = codomain(X0),
inference(subst,[],[refute_0_88:[bind(A,$fot(codomain(X0)))]]) ).
cnf(refute_0_254,plain,
( one != addition(one,codomain(X_132))
| addition(one,codomain(X_132)) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(addition(one,codomain(X_132))))]]) ).
cnf(refute_0_255,plain,
addition(one,codomain(X_132)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,codomain(X_132))) )],[refute_0_214,refute_0_254]) ).
cnf(refute_0_256,plain,
addition(one,codomain(codomain(X0))) = one,
inference(subst,[],[refute_0_255:[bind(X_132,$fot(codomain(X0)))]]) ).
cnf(refute_0_257,plain,
multiplication(addition(one,codomain(codomain(X0))),codomain(X0)) = multiplication(addition(one,codomain(codomain(X0))),codomain(X0)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,codomain(codomain(X0))),codomain(X0)))]]) ).
cnf(refute_0_258,plain,
( addition(one,codomain(codomain(X0))) != one
| multiplication(addition(one,codomain(codomain(X0))),codomain(X0)) != multiplication(addition(one,codomain(codomain(X0))),codomain(X0))
| multiplication(addition(one,codomain(codomain(X0))),codomain(X0)) = multiplication(one,codomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,codomain(codomain(X0))),codomain(X0)),multiplication(addition(one,codomain(codomain(X0))),codomain(X0))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_259,plain,
( addition(one,codomain(codomain(X0))) != one
| multiplication(addition(one,codomain(codomain(X0))),codomain(X0)) = multiplication(one,codomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,codomain(codomain(X0))),codomain(X0)),multiplication(addition(one,codomain(codomain(X0))),codomain(X0))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiplication(addition(one,codomain(codomain(X0))),codomain(X0)) = multiplication(one,codomain(X0)),
inference(resolve,[$cnf( $equal(addition(one,codomain(codomain(X0))),one) )],[refute_0_256,refute_0_259]) ).
cnf(refute_0_261,plain,
( multiplication(addition(one,codomain(codomain(X0))),codomain(X0)) != multiplication(one,codomain(X0))
| multiplication(one,codomain(X0)) != codomain(X0)
| multiplication(addition(one,codomain(codomain(X0))),codomain(X0)) = codomain(X0) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(multiplication(addition(one,codomain(codomain(X0))),codomain(X0)))),bind(Y,$fot(multiplication(one,codomain(X0)))),bind(Z,$fot(codomain(X0)))]]) ).
cnf(refute_0_262,plain,
( multiplication(one,codomain(X0)) != codomain(X0)
| multiplication(addition(one,codomain(codomain(X0))),codomain(X0)) = codomain(X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,codomain(codomain(X0))),codomain(X0)),multiplication(one,codomain(X0))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
multiplication(addition(one,codomain(codomain(X0))),codomain(X0)) = codomain(X0),
inference(resolve,[$cnf( $equal(multiplication(one,codomain(X0)),codomain(X0)) )],[refute_0_253,refute_0_262]) ).
cnf(refute_0_264,plain,
multiplication(addition(codomain(X0),addition(one,X_829)),codomain(X0)) = multiplication(addition(addition(one,X_829),one),codomain(X0)),
inference(subst,[],[refute_0_102:[bind(X_269,$fot(addition(one,X_829)))]]) ).
cnf(refute_0_265,plain,
addition(A,addition(X_101,X_102)) = addition(addition(X_101,X_102),A),
inference(subst,[],[refute_0_1:[bind(B,$fot(addition(X_101,X_102)))]]) ).
cnf(refute_0_266,plain,
addition(X_101,addition(X_102,A)) = addition(addition(X_101,X_102),A),
inference(subst,[],[refute_0_191:[bind(A,$fot(X_101)),bind(B,$fot(X_102)),bind(C,$fot(A))]]) ).
cnf(refute_0_267,plain,
( addition(X_101,addition(X_102,A)) != addition(addition(X_101,X_102),A)
| addition(addition(X_101,X_102),A) = addition(X_101,addition(X_102,A)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_101,addition(X_102,A)))),bind(Y,$fot(addition(addition(X_101,X_102),A)))]]) ).
cnf(refute_0_268,plain,
addition(addition(X_101,X_102),A) = addition(X_101,addition(X_102,A)),
inference(resolve,[$cnf( $equal(addition(X_101,addition(X_102,A)),addition(addition(X_101,X_102),A)) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
( addition(A,addition(X_101,X_102)) != addition(addition(X_101,X_102),A)
| addition(addition(X_101,X_102),A) != addition(X_101,addition(X_102,A))
| addition(A,addition(X_101,X_102)) = addition(X_101,addition(X_102,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_101,X_102)),addition(X_101,addition(X_102,A))) ),[0],$fot(addition(addition(X_101,X_102),A))]]) ).
cnf(refute_0_270,plain,
( addition(A,addition(X_101,X_102)) != addition(addition(X_101,X_102),A)
| addition(A,addition(X_101,X_102)) = addition(X_101,addition(X_102,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_101,X_102),A),addition(X_101,addition(X_102,A))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
addition(A,addition(X_101,X_102)) = addition(X_101,addition(X_102,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_101,X_102)),addition(addition(X_101,X_102),A)) )],[refute_0_265,refute_0_270]) ).
cnf(refute_0_272,plain,
addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))) = addition(X_769,addition(coantidomain(X0),addition(codomain(X0),X_103))),
inference(subst,[],[refute_0_271:[bind(A,$fot(addition(codomain(X0),X_103))),bind(X_101,$fot(X_769)),bind(X_102,$fot(coantidomain(X0)))]]) ).
cnf(refute_0_273,plain,
( addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))) != addition(X_769,addition(coantidomain(X0),addition(codomain(X0),X_103)))
| addition(coantidomain(X0),addition(codomain(X0),X_103)) != addition(one,X_103)
| addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))) = addition(X_769,addition(one,X_103)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))),addition(X_769,addition(coantidomain(X0),addition(codomain(X0),X_103)))) ),[1,1],$fot(addition(one,X_103))]]) ).
cnf(refute_0_274,plain,
( addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))) != addition(X_769,addition(coantidomain(X0),addition(codomain(X0),X_103)))
| addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))) = addition(X_769,addition(one,X_103)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),addition(codomain(X0),X_103)),addition(one,X_103)) )],[refute_0_204,refute_0_273]) ).
cnf(refute_0_275,plain,
addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))) = addition(X_769,addition(one,X_103)),
inference(resolve,[$cnf( $equal(addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))),addition(X_769,addition(coantidomain(X0),addition(codomain(X0),X_103)))) )],[refute_0_272,refute_0_274]) ).
cnf(refute_0_276,plain,
addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)) = addition(addition(coantidomain(X_211),addition(X_212,codomain(X_211))),C),
inference(subst,[],[refute_0_191:[bind(A,$fot(coantidomain(X_211))),bind(B,$fot(addition(X_212,codomain(X_211))))]]) ).
cnf(refute_0_277,plain,
addition(coantidomain(X_132),addition(codomain(X_132),X_133)) = addition(one,X_133),
inference(subst,[],[refute_0_204:[bind(X0,$fot(X_132)),bind(X_103,$fot(X_133))]]) ).
cnf(refute_0_278,plain,
addition(X_133,codomain(X_132)) = addition(codomain(X_132),X_133),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_133)),bind(B,$fot(codomain(X_132)))]]) ).
cnf(refute_0_279,plain,
( addition(X_133,codomain(X_132)) != addition(codomain(X_132),X_133)
| addition(codomain(X_132),X_133) = addition(X_133,codomain(X_132)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_133,codomain(X_132)))),bind(Y,$fot(addition(codomain(X_132),X_133)))]]) ).
cnf(refute_0_280,plain,
addition(codomain(X_132),X_133) = addition(X_133,codomain(X_132)),
inference(resolve,[$cnf( $equal(addition(X_133,codomain(X_132)),addition(codomain(X_132),X_133)) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
( addition(coantidomain(X_132),addition(codomain(X_132),X_133)) != addition(one,X_133)
| addition(codomain(X_132),X_133) != addition(X_133,codomain(X_132))
| addition(coantidomain(X_132),addition(X_133,codomain(X_132))) = addition(one,X_133) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_132),addition(codomain(X_132),X_133)),addition(one,X_133)) ),[0,1],$fot(addition(X_133,codomain(X_132)))]]) ).
cnf(refute_0_282,plain,
( addition(coantidomain(X_132),addition(codomain(X_132),X_133)) != addition(one,X_133)
| addition(coantidomain(X_132),addition(X_133,codomain(X_132))) = addition(one,X_133) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_132),X_133),addition(X_133,codomain(X_132))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
addition(coantidomain(X_132),addition(X_133,codomain(X_132))) = addition(one,X_133),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_132),addition(codomain(X_132),X_133)),addition(one,X_133)) )],[refute_0_277,refute_0_282]) ).
cnf(refute_0_284,plain,
addition(coantidomain(X_211),addition(X_212,codomain(X_211))) = addition(one,X_212),
inference(subst,[],[refute_0_283:[bind(X_132,$fot(X_211)),bind(X_133,$fot(X_212))]]) ).
cnf(refute_0_285,plain,
( addition(coantidomain(X_211),addition(X_212,codomain(X_211))) != addition(one,X_212)
| addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)) != addition(addition(coantidomain(X_211),addition(X_212,codomain(X_211))),C)
| addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)) = addition(addition(one,X_212),C) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)),addition(addition(coantidomain(X_211),addition(X_212,codomain(X_211))),C)) ),[1,0],$fot(addition(one,X_212))]]) ).
cnf(refute_0_286,plain,
( addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)) != addition(addition(coantidomain(X_211),addition(X_212,codomain(X_211))),C)
| addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)) = addition(addition(one,X_212),C) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_211),addition(X_212,codomain(X_211))),addition(one,X_212)) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)) = addition(addition(one,X_212),C),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)),addition(addition(coantidomain(X_211),addition(X_212,codomain(X_211))),C)) )],[refute_0_276,refute_0_286]) ).
cnf(refute_0_288,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_289,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_0_191,refute_0_288]) ).
cnf(refute_0_290,plain,
addition(addition(X_212,codomain(X_211)),C) = addition(X_212,addition(codomain(X_211),C)),
inference(subst,[],[refute_0_289:[bind(A,$fot(X_212)),bind(B,$fot(codomain(X_211)))]]) ).
cnf(refute_0_291,plain,
addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)) = addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)),
introduced(tautology,[refl,[$fot(addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)))]]) ).
cnf(refute_0_292,plain,
( addition(addition(X_212,codomain(X_211)),C) != addition(X_212,addition(codomain(X_211),C))
| addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)) != addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C))
| addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)) = addition(coantidomain(X_211),addition(X_212,addition(codomain(X_211),C))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)),addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C))) ),[1,1],$fot(addition(X_212,addition(codomain(X_211),C)))]]) ).
cnf(refute_0_293,plain,
( addition(addition(X_212,codomain(X_211)),C) != addition(X_212,addition(codomain(X_211),C))
| addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)) = addition(coantidomain(X_211),addition(X_212,addition(codomain(X_211),C))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)),addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)) = addition(coantidomain(X_211),addition(X_212,addition(codomain(X_211),C))),
inference(resolve,[$cnf( $equal(addition(addition(X_212,codomain(X_211)),C),addition(X_212,addition(codomain(X_211),C))) )],[refute_0_290,refute_0_293]) ).
cnf(refute_0_295,plain,
( addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)) != addition(addition(one,X_212),C)
| addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)) != addition(coantidomain(X_211),addition(X_212,addition(codomain(X_211),C)))
| addition(coantidomain(X_211),addition(X_212,addition(codomain(X_211),C))) = addition(addition(one,X_212),C) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)),addition(addition(one,X_212),C)) ),[0],$fot(addition(coantidomain(X_211),addition(X_212,addition(codomain(X_211),C))))]]) ).
cnf(refute_0_296,plain,
( addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)) != addition(addition(one,X_212),C)
| addition(coantidomain(X_211),addition(X_212,addition(codomain(X_211),C))) = addition(addition(one,X_212),C) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)),addition(coantidomain(X_211),addition(X_212,addition(codomain(X_211),C)))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
addition(addition(one,X_212),C) = addition(one,addition(X_212,C)),
inference(subst,[],[refute_0_289:[bind(A,$fot(one)),bind(B,$fot(X_212))]]) ).
cnf(refute_0_298,plain,
( addition(addition(one,X_212),C) != addition(one,addition(X_212,C))
| addition(coantidomain(X_211),addition(X_212,addition(codomain(X_211),C))) != addition(addition(one,X_212),C)
| addition(coantidomain(X_211),addition(X_212,addition(codomain(X_211),C))) = addition(one,addition(X_212,C)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_211),addition(X_212,addition(codomain(X_211),C))),addition(addition(one,X_212),C)) ),[1],$fot(addition(one,addition(X_212,C)))]]) ).
cnf(refute_0_299,plain,
( addition(coantidomain(X_211),addition(X_212,addition(codomain(X_211),C))) != addition(addition(one,X_212),C)
| addition(coantidomain(X_211),addition(X_212,addition(codomain(X_211),C))) = addition(one,addition(X_212,C)) ),
inference(resolve,[$cnf( $equal(addition(addition(one,X_212),C),addition(one,addition(X_212,C))) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
( addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)) != addition(addition(one,X_212),C)
| addition(coantidomain(X_211),addition(X_212,addition(codomain(X_211),C))) = addition(one,addition(X_212,C)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_211),addition(X_212,addition(codomain(X_211),C))),addition(addition(one,X_212),C)) )],[refute_0_296,refute_0_299]) ).
cnf(refute_0_301,plain,
addition(coantidomain(X_211),addition(X_212,addition(codomain(X_211),C))) = addition(one,addition(X_212,C)),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_211),addition(addition(X_212,codomain(X_211)),C)),addition(addition(one,X_212),C)) )],[refute_0_287,refute_0_300]) ).
cnf(refute_0_302,plain,
addition(coantidomain(X0),addition(X_769,addition(codomain(X0),X_103))) = addition(one,addition(X_769,X_103)),
inference(subst,[],[refute_0_301:[bind(C,$fot(X_103)),bind(X_211,$fot(X0)),bind(X_212,$fot(X_769))]]) ).
cnf(refute_0_303,plain,
addition(X_768,addition(X_769,X_770)) = addition(X_769,addition(X_770,X_768)),
inference(subst,[],[refute_0_271:[bind(A,$fot(X_768)),bind(X_101,$fot(X_769)),bind(X_102,$fot(X_770))]]) ).
cnf(refute_0_304,plain,
addition(X_770,X_769) = addition(X_769,X_770),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_770)),bind(B,$fot(X_769))]]) ).
cnf(refute_0_305,plain,
( addition(X_770,X_769) != addition(X_769,X_770)
| addition(X_769,X_770) = addition(X_770,X_769) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_770,X_769))),bind(Y,$fot(addition(X_769,X_770)))]]) ).
cnf(refute_0_306,plain,
addition(X_769,X_770) = addition(X_770,X_769),
inference(resolve,[$cnf( $equal(addition(X_770,X_769),addition(X_769,X_770)) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
( addition(X_768,addition(X_769,X_770)) != addition(X_769,addition(X_770,X_768))
| addition(X_769,X_770) != addition(X_770,X_769)
| addition(X_768,addition(X_770,X_769)) = addition(X_769,addition(X_770,X_768)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_768,addition(X_769,X_770)),addition(X_769,addition(X_770,X_768))) ),[0,1],$fot(addition(X_770,X_769))]]) ).
cnf(refute_0_308,plain,
( addition(X_768,addition(X_769,X_770)) != addition(X_769,addition(X_770,X_768))
| addition(X_768,addition(X_770,X_769)) = addition(X_769,addition(X_770,X_768)) ),
inference(resolve,[$cnf( $equal(addition(X_769,X_770),addition(X_770,X_769)) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
addition(X_768,addition(X_770,X_769)) = addition(X_769,addition(X_770,X_768)),
inference(resolve,[$cnf( $equal(addition(X_768,addition(X_769,X_770)),addition(X_769,addition(X_770,X_768))) )],[refute_0_303,refute_0_308]) ).
cnf(refute_0_310,plain,
( addition(X_768,addition(X_770,X_769)) != addition(X_769,addition(X_770,X_768))
| addition(X_769,addition(X_770,X_768)) = addition(X_768,addition(X_770,X_769)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_768,addition(X_770,X_769)))),bind(Y,$fot(addition(X_769,addition(X_770,X_768))))]]) ).
cnf(refute_0_311,plain,
addition(X_769,addition(X_770,X_768)) = addition(X_768,addition(X_770,X_769)),
inference(resolve,[$cnf( $equal(addition(X_768,addition(X_770,X_769)),addition(X_769,addition(X_770,X_768))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))) = addition(coantidomain(X0),addition(X_769,addition(codomain(X0),X_103))),
inference(subst,[],[refute_0_311:[bind(X_768,$fot(coantidomain(X0))),bind(X_769,$fot(addition(codomain(X0),X_103))),bind(X_770,$fot(X_769))]]) ).
cnf(refute_0_313,plain,
( addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))) != addition(coantidomain(X0),addition(X_769,addition(codomain(X0),X_103)))
| addition(coantidomain(X0),addition(X_769,addition(codomain(X0),X_103))) != addition(one,addition(X_769,X_103))
| addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))) = addition(one,addition(X_769,X_103)) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))))),bind(Y,$fot(addition(coantidomain(X0),addition(X_769,addition(codomain(X0),X_103))))),bind(Z,$fot(addition(one,addition(X_769,X_103))))]]) ).
cnf(refute_0_314,plain,
( addition(coantidomain(X0),addition(X_769,addition(codomain(X0),X_103))) != addition(one,addition(X_769,X_103))
| addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))) = addition(one,addition(X_769,X_103)) ),
inference(resolve,[$cnf( $equal(addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))),addition(coantidomain(X0),addition(X_769,addition(codomain(X0),X_103)))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))) = addition(one,addition(X_769,X_103)),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),addition(X_769,addition(codomain(X0),X_103))),addition(one,addition(X_769,X_103))) )],[refute_0_302,refute_0_314]) ).
cnf(refute_0_316,plain,
( addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))) != addition(X_769,addition(one,X_103))
| addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))) != addition(one,addition(X_769,X_103))
| addition(one,addition(X_769,X_103)) = addition(X_769,addition(one,X_103)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))),addition(X_769,addition(one,X_103))) ),[0],$fot(addition(one,addition(X_769,X_103)))]]) ).
cnf(refute_0_317,plain,
( addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))) != addition(X_769,addition(one,X_103))
| addition(one,addition(X_769,X_103)) = addition(X_769,addition(one,X_103)) ),
inference(resolve,[$cnf( $equal(addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))),addition(one,addition(X_769,X_103))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
addition(one,addition(X_769,X_103)) = addition(X_769,addition(one,X_103)),
inference(resolve,[$cnf( $equal(addition(addition(codomain(X0),X_103),addition(X_769,coantidomain(X0))),addition(X_769,addition(one,X_103))) )],[refute_0_275,refute_0_317]) ).
cnf(refute_0_319,plain,
addition(one,addition(codomain(X0),X_829)) = addition(codomain(X0),addition(one,X_829)),
inference(subst,[],[refute_0_318:[bind(X_103,$fot(X_829)),bind(X_769,$fot(codomain(X0)))]]) ).
cnf(refute_0_320,plain,
( addition(one,addition(codomain(X0),X_829)) != addition(codomain(X0),addition(one,X_829))
| addition(codomain(X0),addition(one,X_829)) = addition(one,addition(codomain(X0),X_829)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(one,addition(codomain(X0),X_829)))),bind(Y,$fot(addition(codomain(X0),addition(one,X_829))))]]) ).
cnf(refute_0_321,plain,
addition(codomain(X0),addition(one,X_829)) = addition(one,addition(codomain(X0),X_829)),
inference(resolve,[$cnf( $equal(addition(one,addition(codomain(X0),X_829)),addition(codomain(X0),addition(one,X_829))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
( addition(codomain(X0),addition(one,X_829)) != addition(one,addition(codomain(X0),X_829))
| multiplication(addition(codomain(X0),addition(one,X_829)),codomain(X0)) != multiplication(addition(addition(one,X_829),one),codomain(X0))
| multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)) = multiplication(addition(addition(one,X_829),one),codomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(codomain(X0),addition(one,X_829)),codomain(X0)),multiplication(addition(addition(one,X_829),one),codomain(X0))) ),[0,0],$fot(addition(one,addition(codomain(X0),X_829)))]]) ).
cnf(refute_0_323,plain,
( multiplication(addition(codomain(X0),addition(one,X_829)),codomain(X0)) != multiplication(addition(addition(one,X_829),one),codomain(X0))
| multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)) = multiplication(addition(addition(one,X_829),one),codomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(codomain(X0),addition(one,X_829)),addition(one,addition(codomain(X0),X_829))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)) = multiplication(addition(addition(one,X_829),one),codomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(addition(codomain(X0),addition(one,X_829)),codomain(X0)),multiplication(addition(addition(one,X_829),one),codomain(X0))) )],[refute_0_264,refute_0_323]) ).
cnf(refute_0_325,plain,
addition(addition(X_102,X_103),addition(X_102,X_103)) = addition(addition(addition(X_102,X_103),X_102),X_103),
inference(subst,[],[refute_0_191:[bind(A,$fot(addition(X_102,X_103))),bind(B,$fot(X_102)),bind(C,$fot(X_103))]]) ).
cnf(refute_0_326,plain,
addition(addition(X_102,X_103),addition(X_102,X_103)) = addition(X_102,X_103),
inference(subst,[],[refute_0_206:[bind(A,$fot(addition(X_102,X_103)))]]) ).
cnf(refute_0_327,plain,
( addition(addition(X_102,X_103),addition(X_102,X_103)) != addition(X_102,X_103)
| addition(addition(X_102,X_103),addition(X_102,X_103)) != addition(addition(addition(X_102,X_103),X_102),X_103)
| addition(X_102,X_103) = addition(addition(addition(X_102,X_103),X_102),X_103) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_102,X_103),addition(X_102,X_103)),addition(addition(addition(X_102,X_103),X_102),X_103)) ),[0],$fot(addition(X_102,X_103))]]) ).
cnf(refute_0_328,plain,
( addition(addition(X_102,X_103),addition(X_102,X_103)) != addition(addition(addition(X_102,X_103),X_102),X_103)
| addition(X_102,X_103) = addition(addition(addition(X_102,X_103),X_102),X_103) ),
inference(resolve,[$cnf( $equal(addition(addition(X_102,X_103),addition(X_102,X_103)),addition(X_102,X_103)) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
addition(X_102,X_103) = addition(addition(addition(X_102,X_103),X_102),X_103),
inference(resolve,[$cnf( $equal(addition(addition(X_102,X_103),addition(X_102,X_103)),addition(addition(addition(X_102,X_103),X_102),X_103)) )],[refute_0_325,refute_0_328]) ).
cnf(refute_0_330,plain,
addition(X_101,addition(X_102,X_103)) = addition(addition(X_101,X_102),X_103),
inference(subst,[],[refute_0_191:[bind(A,$fot(X_101)),bind(B,$fot(X_102)),bind(C,$fot(X_103))]]) ).
cnf(refute_0_331,plain,
addition(X_103,X_102) = addition(X_102,X_103),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_103)),bind(B,$fot(X_102))]]) ).
cnf(refute_0_332,plain,
( addition(X_103,X_102) != addition(X_102,X_103)
| addition(X_102,X_103) = addition(X_103,X_102) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_103,X_102))),bind(Y,$fot(addition(X_102,X_103)))]]) ).
cnf(refute_0_333,plain,
addition(X_102,X_103) = addition(X_103,X_102),
inference(resolve,[$cnf( $equal(addition(X_103,X_102),addition(X_102,X_103)) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
( addition(X_101,addition(X_102,X_103)) != addition(addition(X_101,X_102),X_103)
| addition(X_102,X_103) != addition(X_103,X_102)
| addition(X_101,addition(X_103,X_102)) = addition(addition(X_101,X_102),X_103) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_101,addition(X_102,X_103)),addition(addition(X_101,X_102),X_103)) ),[0,1],$fot(addition(X_103,X_102))]]) ).
cnf(refute_0_335,plain,
( addition(X_101,addition(X_102,X_103)) != addition(addition(X_101,X_102),X_103)
| addition(X_101,addition(X_103,X_102)) = addition(addition(X_101,X_102),X_103) ),
inference(resolve,[$cnf( $equal(addition(X_102,X_103),addition(X_103,X_102)) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
addition(X_101,addition(X_103,X_102)) = addition(addition(X_101,X_102),X_103),
inference(resolve,[$cnf( $equal(addition(X_101,addition(X_102,X_103)),addition(addition(X_101,X_102),X_103)) )],[refute_0_330,refute_0_335]) ).
cnf(refute_0_337,plain,
addition(addition(X_101,X_102),X_103) = addition(X_101,addition(X_102,X_103)),
inference(subst,[],[refute_0_289:[bind(A,$fot(X_101)),bind(B,$fot(X_102)),bind(C,$fot(X_103))]]) ).
cnf(refute_0_338,plain,
( addition(X_101,addition(X_103,X_102)) != addition(addition(X_101,X_102),X_103)
| addition(addition(X_101,X_102),X_103) != addition(X_101,addition(X_102,X_103))
| addition(X_101,addition(X_103,X_102)) = addition(X_101,addition(X_102,X_103)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_101,addition(X_103,X_102)),addition(X_101,addition(X_102,X_103))) ),[0],$fot(addition(addition(X_101,X_102),X_103))]]) ).
cnf(refute_0_339,plain,
( addition(X_101,addition(X_103,X_102)) != addition(addition(X_101,X_102),X_103)
| addition(X_101,addition(X_103,X_102)) = addition(X_101,addition(X_102,X_103)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_101,X_102),X_103),addition(X_101,addition(X_102,X_103))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
addition(X_101,addition(X_103,X_102)) = addition(X_101,addition(X_102,X_103)),
inference(resolve,[$cnf( $equal(addition(X_101,addition(X_103,X_102)),addition(addition(X_101,X_102),X_103)) )],[refute_0_336,refute_0_339]) ).
cnf(refute_0_341,plain,
( addition(X_101,addition(X_103,X_102)) != addition(X_101,addition(X_102,X_103))
| addition(X_101,addition(X_102,X_103)) = addition(X_101,addition(X_103,X_102)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_101,addition(X_103,X_102)))),bind(Y,$fot(addition(X_101,addition(X_102,X_103))))]]) ).
cnf(refute_0_342,plain,
addition(X_101,addition(X_102,X_103)) = addition(X_101,addition(X_103,X_102)),
inference(resolve,[$cnf( $equal(addition(X_101,addition(X_103,X_102)),addition(X_101,addition(X_102,X_103))) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
addition(X_103,addition(addition(X_102,X_103),X_102)) = addition(X_103,addition(X_102,addition(X_102,X_103))),
inference(subst,[],[refute_0_342:[bind(X_101,$fot(X_103)),bind(X_102,$fot(addition(X_102,X_103))),bind(X_103,$fot(X_102))]]) ).
cnf(refute_0_344,plain,
( addition(A,addition(X_101,X_102)) != addition(X_101,addition(X_102,A))
| addition(X_101,addition(X_102,A)) = addition(A,addition(X_101,X_102)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(A,addition(X_101,X_102)))),bind(Y,$fot(addition(X_101,addition(X_102,A))))]]) ).
cnf(refute_0_345,plain,
addition(X_101,addition(X_102,A)) = addition(A,addition(X_101,X_102)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_101,X_102)),addition(X_101,addition(X_102,A))) )],[refute_0_271,refute_0_344]) ).
cnf(refute_0_346,plain,
addition(addition(X_102,X_103),addition(X_102,X_103)) = addition(X_103,addition(addition(X_102,X_103),X_102)),
inference(subst,[],[refute_0_345:[bind(A,$fot(X_103)),bind(X_101,$fot(addition(X_102,X_103)))]]) ).
cnf(refute_0_347,plain,
( addition(X_103,addition(addition(X_102,X_103),X_102)) != addition(X_103,addition(X_102,addition(X_102,X_103)))
| addition(addition(X_102,X_103),addition(X_102,X_103)) != addition(X_103,addition(addition(X_102,X_103),X_102))
| addition(addition(X_102,X_103),addition(X_102,X_103)) = addition(X_103,addition(X_102,addition(X_102,X_103))) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(addition(addition(X_102,X_103),addition(X_102,X_103)))),bind(Y,$fot(addition(X_103,addition(addition(X_102,X_103),X_102)))),bind(Z,$fot(addition(X_103,addition(X_102,addition(X_102,X_103)))))]]) ).
cnf(refute_0_348,plain,
( addition(X_103,addition(addition(X_102,X_103),X_102)) != addition(X_103,addition(X_102,addition(X_102,X_103)))
| addition(addition(X_102,X_103),addition(X_102,X_103)) = addition(X_103,addition(X_102,addition(X_102,X_103))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_102,X_103),addition(X_102,X_103)),addition(X_103,addition(addition(X_102,X_103),X_102))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
addition(addition(X_102,X_103),addition(X_102,X_103)) = addition(X_103,addition(X_102,addition(X_102,X_103))),
inference(resolve,[$cnf( $equal(addition(X_103,addition(addition(X_102,X_103),X_102)),addition(X_103,addition(X_102,addition(X_102,X_103)))) )],[refute_0_343,refute_0_348]) ).
cnf(refute_0_350,plain,
addition(addition(addition(X_102,X_103),X_102),X_103) = addition(addition(X_102,X_103),addition(X_102,X_103)),
inference(subst,[],[refute_0_289:[bind(A,$fot(addition(X_102,X_103))),bind(B,$fot(X_102)),bind(C,$fot(X_103))]]) ).
cnf(refute_0_351,plain,
( addition(addition(X_102,X_103),addition(X_102,X_103)) != addition(X_103,addition(X_102,addition(X_102,X_103)))
| addition(addition(addition(X_102,X_103),X_102),X_103) != addition(addition(X_102,X_103),addition(X_102,X_103))
| addition(addition(addition(X_102,X_103),X_102),X_103) = addition(X_103,addition(X_102,addition(X_102,X_103))) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(addition(addition(addition(X_102,X_103),X_102),X_103))),bind(Y,$fot(addition(addition(X_102,X_103),addition(X_102,X_103)))),bind(Z,$fot(addition(X_103,addition(X_102,addition(X_102,X_103)))))]]) ).
cnf(refute_0_352,plain,
( addition(addition(X_102,X_103),addition(X_102,X_103)) != addition(X_103,addition(X_102,addition(X_102,X_103)))
| addition(addition(addition(X_102,X_103),X_102),X_103) = addition(X_103,addition(X_102,addition(X_102,X_103))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_102,X_103),X_102),X_103),addition(addition(X_102,X_103),addition(X_102,X_103))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
addition(addition(addition(X_102,X_103),X_102),X_103) = addition(X_103,addition(X_102,addition(X_102,X_103))),
inference(resolve,[$cnf( $equal(addition(addition(X_102,X_103),addition(X_102,X_103)),addition(X_103,addition(X_102,addition(X_102,X_103)))) )],[refute_0_349,refute_0_352]) ).
cnf(refute_0_354,plain,
( addition(X_102,X_103) != addition(addition(addition(X_102,X_103),X_102),X_103)
| addition(addition(addition(X_102,X_103),X_102),X_103) != addition(X_103,addition(X_102,addition(X_102,X_103)))
| addition(X_102,X_103) = addition(X_103,addition(X_102,addition(X_102,X_103))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_102,X_103),addition(X_103,addition(X_102,addition(X_102,X_103)))) ),[0],$fot(addition(addition(addition(X_102,X_103),X_102),X_103))]]) ).
cnf(refute_0_355,plain,
( addition(X_102,X_103) != addition(addition(addition(X_102,X_103),X_102),X_103)
| addition(X_102,X_103) = addition(X_103,addition(X_102,addition(X_102,X_103))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_102,X_103),X_102),X_103),addition(X_103,addition(X_102,addition(X_102,X_103)))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
addition(X_102,X_103) = addition(X_103,addition(X_102,addition(X_102,X_103))),
inference(resolve,[$cnf( $equal(addition(X_102,X_103),addition(addition(addition(X_102,X_103),X_102),X_103)) )],[refute_0_329,refute_0_355]) ).
cnf(refute_0_357,plain,
addition(X_102,addition(X_102,X_103)) = addition(addition(X_102,X_102),X_103),
inference(subst,[],[refute_0_191:[bind(A,$fot(X_102)),bind(B,$fot(X_102)),bind(C,$fot(X_103))]]) ).
cnf(refute_0_358,plain,
addition(X_102,X_102) = X_102,
inference(subst,[],[refute_0_206:[bind(A,$fot(X_102))]]) ).
cnf(refute_0_359,plain,
( addition(X_102,X_102) != X_102
| addition(X_102,addition(X_102,X_103)) != addition(addition(X_102,X_102),X_103)
| addition(X_102,addition(X_102,X_103)) = addition(X_102,X_103) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_102,addition(X_102,X_103)),addition(addition(X_102,X_102),X_103)) ),[1,0],$fot(X_102)]]) ).
cnf(refute_0_360,plain,
( addition(X_102,addition(X_102,X_103)) != addition(addition(X_102,X_102),X_103)
| addition(X_102,addition(X_102,X_103)) = addition(X_102,X_103) ),
inference(resolve,[$cnf( $equal(addition(X_102,X_102),X_102) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
addition(X_102,addition(X_102,X_103)) = addition(X_102,X_103),
inference(resolve,[$cnf( $equal(addition(X_102,addition(X_102,X_103)),addition(addition(X_102,X_102),X_103)) )],[refute_0_357,refute_0_360]) ).
cnf(refute_0_362,plain,
addition(X_103,addition(X_102,addition(X_102,X_103))) = addition(X_103,addition(X_102,addition(X_102,X_103))),
introduced(tautology,[refl,[$fot(addition(X_103,addition(X_102,addition(X_102,X_103))))]]) ).
cnf(refute_0_363,plain,
( addition(X_102,addition(X_102,X_103)) != addition(X_102,X_103)
| addition(X_103,addition(X_102,addition(X_102,X_103))) != addition(X_103,addition(X_102,addition(X_102,X_103)))
| addition(X_103,addition(X_102,addition(X_102,X_103))) = addition(X_103,addition(X_102,X_103)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_103,addition(X_102,addition(X_102,X_103))),addition(X_103,addition(X_102,addition(X_102,X_103)))) ),[1,1],$fot(addition(X_102,X_103))]]) ).
cnf(refute_0_364,plain,
( addition(X_102,addition(X_102,X_103)) != addition(X_102,X_103)
| addition(X_103,addition(X_102,addition(X_102,X_103))) = addition(X_103,addition(X_102,X_103)) ),
inference(resolve,[$cnf( $equal(addition(X_103,addition(X_102,addition(X_102,X_103))),addition(X_103,addition(X_102,addition(X_102,X_103)))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
addition(X_103,addition(X_102,addition(X_102,X_103))) = addition(X_103,addition(X_102,X_103)),
inference(resolve,[$cnf( $equal(addition(X_102,addition(X_102,X_103)),addition(X_102,X_103)) )],[refute_0_361,refute_0_364]) ).
cnf(refute_0_366,plain,
( addition(X_102,X_103) != addition(X_103,addition(X_102,addition(X_102,X_103)))
| addition(X_103,addition(X_102,addition(X_102,X_103))) != addition(X_103,addition(X_102,X_103))
| addition(X_102,X_103) = addition(X_103,addition(X_102,X_103)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_102,X_103),addition(X_103,addition(X_102,X_103))) ),[0],$fot(addition(X_103,addition(X_102,addition(X_102,X_103))))]]) ).
cnf(refute_0_367,plain,
( addition(X_102,X_103) != addition(X_103,addition(X_102,addition(X_102,X_103)))
| addition(X_102,X_103) = addition(X_103,addition(X_102,X_103)) ),
inference(resolve,[$cnf( $equal(addition(X_103,addition(X_102,addition(X_102,X_103))),addition(X_103,addition(X_102,X_103))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
addition(X_102,X_103) = addition(X_103,addition(X_102,X_103)),
inference(resolve,[$cnf( $equal(addition(X_102,X_103),addition(X_103,addition(X_102,addition(X_102,X_103)))) )],[refute_0_356,refute_0_367]) ).
cnf(refute_0_369,plain,
( addition(X_102,X_103) != addition(X_103,addition(X_102,X_103))
| addition(X_103,addition(X_102,X_103)) = addition(X_102,X_103) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_102,X_103))),bind(Y,$fot(addition(X_103,addition(X_102,X_103))))]]) ).
cnf(refute_0_370,plain,
addition(X_103,addition(X_102,X_103)) = addition(X_102,X_103),
inference(resolve,[$cnf( $equal(addition(X_102,X_103),addition(X_103,addition(X_102,X_103))) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
addition(one,addition(X_829,one)) = addition(X_829,one),
inference(subst,[],[refute_0_370:[bind(X_102,$fot(X_829)),bind(X_103,$fot(one))]]) ).
cnf(refute_0_372,plain,
multiplication(addition(one,addition(X_829,one)),codomain(X0)) = multiplication(addition(one,addition(X_829,one)),codomain(X0)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,addition(X_829,one)),codomain(X0)))]]) ).
cnf(refute_0_373,plain,
( addition(one,addition(X_829,one)) != addition(X_829,one)
| multiplication(addition(one,addition(X_829,one)),codomain(X0)) != multiplication(addition(one,addition(X_829,one)),codomain(X0))
| multiplication(addition(one,addition(X_829,one)),codomain(X0)) = multiplication(addition(X_829,one),codomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,addition(X_829,one)),codomain(X0)),multiplication(addition(one,addition(X_829,one)),codomain(X0))) ),[1,0],$fot(addition(X_829,one))]]) ).
cnf(refute_0_374,plain,
( addition(one,addition(X_829,one)) != addition(X_829,one)
| multiplication(addition(one,addition(X_829,one)),codomain(X0)) = multiplication(addition(X_829,one),codomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,addition(X_829,one)),codomain(X0)),multiplication(addition(one,addition(X_829,one)),codomain(X0))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
multiplication(addition(one,addition(X_829,one)),codomain(X0)) = multiplication(addition(X_829,one),codomain(X0)),
inference(resolve,[$cnf( $equal(addition(one,addition(X_829,one)),addition(X_829,one)) )],[refute_0_371,refute_0_374]) ).
cnf(refute_0_376,plain,
multiplication(addition(A,addition(codomain(X_351),X_352)),codomain(X_351)) = addition(multiplication(A,codomain(X_351)),multiplication(addition(codomain(X_351),X_352),codomain(X_351))),
inference(subst,[],[refute_0_26:[bind(B,$fot(addition(codomain(X_351),X_352))),bind(C,$fot(codomain(X_351)))]]) ).
cnf(refute_0_377,plain,
multiplication(addition(codomain(X_351),X_352),codomain(X_351)) = multiplication(addition(X_352,one),codomain(X_351)),
inference(subst,[],[refute_0_102:[bind(X0,$fot(X_351)),bind(X_269,$fot(X_352))]]) ).
cnf(refute_0_378,plain,
( multiplication(addition(A,addition(codomain(X_351),X_352)),codomain(X_351)) != addition(multiplication(A,codomain(X_351)),multiplication(addition(codomain(X_351),X_352),codomain(X_351)))
| multiplication(addition(codomain(X_351),X_352),codomain(X_351)) != multiplication(addition(X_352,one),codomain(X_351))
| multiplication(addition(A,addition(codomain(X_351),X_352)),codomain(X_351)) = addition(multiplication(A,codomain(X_351)),multiplication(addition(X_352,one),codomain(X_351))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,addition(codomain(X_351),X_352)),codomain(X_351)),addition(multiplication(A,codomain(X_351)),multiplication(addition(codomain(X_351),X_352),codomain(X_351)))) ),[1,1],$fot(multiplication(addition(X_352,one),codomain(X_351)))]]) ).
cnf(refute_0_379,plain,
( multiplication(addition(A,addition(codomain(X_351),X_352)),codomain(X_351)) != addition(multiplication(A,codomain(X_351)),multiplication(addition(codomain(X_351),X_352),codomain(X_351)))
| multiplication(addition(A,addition(codomain(X_351),X_352)),codomain(X_351)) = addition(multiplication(A,codomain(X_351)),multiplication(addition(X_352,one),codomain(X_351))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(codomain(X_351),X_352),codomain(X_351)),multiplication(addition(X_352,one),codomain(X_351))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
multiplication(addition(A,addition(codomain(X_351),X_352)),codomain(X_351)) = addition(multiplication(A,codomain(X_351)),multiplication(addition(X_352,one),codomain(X_351))),
inference(resolve,[$cnf( $equal(multiplication(addition(A,addition(codomain(X_351),X_352)),codomain(X_351)),addition(multiplication(A,codomain(X_351)),multiplication(addition(codomain(X_351),X_352),codomain(X_351)))) )],[refute_0_376,refute_0_379]) ).
cnf(refute_0_381,plain,
( multiplication(addition(A,B),C) != addition(multiplication(A,C),multiplication(B,C))
| addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(A,B),C))),bind(Y,$fot(addition(multiplication(A,C),multiplication(B,C))))]]) ).
cnf(refute_0_382,plain,
addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C),
inference(resolve,[$cnf( $equal(multiplication(addition(A,B),C),addition(multiplication(A,C),multiplication(B,C))) )],[refute_0_26,refute_0_381]) ).
cnf(refute_0_383,plain,
addition(multiplication(A,codomain(X_351)),multiplication(addition(X_352,one),codomain(X_351))) = multiplication(addition(A,addition(X_352,one)),codomain(X_351)),
inference(subst,[],[refute_0_382:[bind(B,$fot(addition(X_352,one))),bind(C,$fot(codomain(X_351)))]]) ).
cnf(refute_0_384,plain,
( addition(multiplication(A,codomain(X_351)),multiplication(addition(X_352,one),codomain(X_351))) != multiplication(addition(A,addition(X_352,one)),codomain(X_351))
| multiplication(addition(A,addition(codomain(X_351),X_352)),codomain(X_351)) != addition(multiplication(A,codomain(X_351)),multiplication(addition(X_352,one),codomain(X_351)))
| multiplication(addition(A,addition(codomain(X_351),X_352)),codomain(X_351)) = multiplication(addition(A,addition(X_352,one)),codomain(X_351)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,addition(codomain(X_351),X_352)),codomain(X_351)),addition(multiplication(A,codomain(X_351)),multiplication(addition(X_352,one),codomain(X_351)))) ),[1],$fot(multiplication(addition(A,addition(X_352,one)),codomain(X_351)))]]) ).
cnf(refute_0_385,plain,
( multiplication(addition(A,addition(codomain(X_351),X_352)),codomain(X_351)) != addition(multiplication(A,codomain(X_351)),multiplication(addition(X_352,one),codomain(X_351)))
| multiplication(addition(A,addition(codomain(X_351),X_352)),codomain(X_351)) = multiplication(addition(A,addition(X_352,one)),codomain(X_351)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,codomain(X_351)),multiplication(addition(X_352,one),codomain(X_351))),multiplication(addition(A,addition(X_352,one)),codomain(X_351))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
multiplication(addition(A,addition(codomain(X_351),X_352)),codomain(X_351)) = multiplication(addition(A,addition(X_352,one)),codomain(X_351)),
inference(resolve,[$cnf( $equal(multiplication(addition(A,addition(codomain(X_351),X_352)),codomain(X_351)),addition(multiplication(A,codomain(X_351)),multiplication(addition(X_352,one),codomain(X_351)))) )],[refute_0_380,refute_0_385]) ).
cnf(refute_0_387,plain,
multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)) = multiplication(addition(one,addition(X_829,one)),codomain(X0)),
inference(subst,[],[refute_0_386:[bind(A,$fot(one)),bind(X_351,$fot(X0)),bind(X_352,$fot(X_829))]]) ).
cnf(refute_0_388,plain,
( multiplication(addition(one,addition(X_829,one)),codomain(X0)) != multiplication(addition(X_829,one),codomain(X0))
| multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)) != multiplication(addition(one,addition(X_829,one)),codomain(X0))
| multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)) = multiplication(addition(X_829,one),codomain(X0)) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)))),bind(Y,$fot(multiplication(addition(one,addition(X_829,one)),codomain(X0)))),bind(Z,$fot(multiplication(addition(X_829,one),codomain(X0))))]]) ).
cnf(refute_0_389,plain,
( multiplication(addition(one,addition(X_829,one)),codomain(X0)) != multiplication(addition(X_829,one),codomain(X0))
| multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)) = multiplication(addition(X_829,one),codomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)),multiplication(addition(one,addition(X_829,one)),codomain(X0))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)) = multiplication(addition(X_829,one),codomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,addition(X_829,one)),codomain(X0)),multiplication(addition(X_829,one),codomain(X0))) )],[refute_0_375,refute_0_389]) ).
cnf(refute_0_391,plain,
( multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)) != multiplication(addition(X_829,one),codomain(X0))
| multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)) != multiplication(addition(addition(one,X_829),one),codomain(X0))
| multiplication(addition(X_829,one),codomain(X0)) = multiplication(addition(addition(one,X_829),one),codomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)),multiplication(addition(addition(one,X_829),one),codomain(X0))) ),[0],$fot(multiplication(addition(X_829,one),codomain(X0)))]]) ).
cnf(refute_0_392,plain,
( multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)) != multiplication(addition(addition(one,X_829),one),codomain(X0))
| multiplication(addition(X_829,one),codomain(X0)) = multiplication(addition(addition(one,X_829),one),codomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)),multiplication(addition(X_829,one),codomain(X0))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
addition(one,addition(one,X_829)) = addition(one,X_829),
inference(subst,[],[refute_0_361:[bind(X_102,$fot(one)),bind(X_103,$fot(X_829))]]) ).
cnf(refute_0_394,plain,
multiplication(addition(one,addition(one,X_829)),codomain(X0)) = multiplication(addition(one,addition(one,X_829)),codomain(X0)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,addition(one,X_829)),codomain(X0)))]]) ).
cnf(refute_0_395,plain,
( addition(one,addition(one,X_829)) != addition(one,X_829)
| multiplication(addition(one,addition(one,X_829)),codomain(X0)) != multiplication(addition(one,addition(one,X_829)),codomain(X0))
| multiplication(addition(one,addition(one,X_829)),codomain(X0)) = multiplication(addition(one,X_829),codomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,addition(one,X_829)),codomain(X0)),multiplication(addition(one,addition(one,X_829)),codomain(X0))) ),[1,0],$fot(addition(one,X_829))]]) ).
cnf(refute_0_396,plain,
( addition(one,addition(one,X_829)) != addition(one,X_829)
| multiplication(addition(one,addition(one,X_829)),codomain(X0)) = multiplication(addition(one,X_829),codomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,addition(one,X_829)),codomain(X0)),multiplication(addition(one,addition(one,X_829)),codomain(X0))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
multiplication(addition(one,addition(one,X_829)),codomain(X0)) = multiplication(addition(one,X_829),codomain(X0)),
inference(resolve,[$cnf( $equal(addition(one,addition(one,X_829)),addition(one,X_829)) )],[refute_0_393,refute_0_396]) ).
cnf(refute_0_398,plain,
multiplication(addition(antidomain(X_270),X_269),X_270) = addition(multiplication(antidomain(X_270),X_270),multiplication(X_269,X_270)),
inference(subst,[],[refute_0_26:[bind(A,$fot(antidomain(X_270))),bind(B,$fot(X_269)),bind(C,$fot(X_270))]]) ).
cnf(refute_0_399,plain,
multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_400,plain,
multiplication(antidomain(X_270),X_270) = zero,
inference(subst,[],[refute_0_399:[bind(X0,$fot(X_270))]]) ).
cnf(refute_0_401,plain,
( multiplication(addition(antidomain(X_270),X_269),X_270) != addition(multiplication(antidomain(X_270),X_270),multiplication(X_269,X_270))
| multiplication(antidomain(X_270),X_270) != zero
| multiplication(addition(antidomain(X_270),X_269),X_270) = addition(zero,multiplication(X_269,X_270)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_270),X_269),X_270),addition(multiplication(antidomain(X_270),X_270),multiplication(X_269,X_270))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_402,plain,
( multiplication(addition(antidomain(X_270),X_269),X_270) != addition(multiplication(antidomain(X_270),X_270),multiplication(X_269,X_270))
| multiplication(addition(antidomain(X_270),X_269),X_270) = addition(zero,multiplication(X_269,X_270)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_270),X_270),zero) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
multiplication(addition(antidomain(X_270),X_269),X_270) = addition(zero,multiplication(X_269,X_270)),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_270),X_269),X_270),addition(multiplication(antidomain(X_270),X_270),multiplication(X_269,X_270))) )],[refute_0_398,refute_0_402]) ).
cnf(refute_0_404,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_1:[bind(B,$fot(zero))]]) ).
cnf(refute_0_405,plain,
( addition(A,zero) != A
| addition(A,zero) != addition(zero,A)
| addition(zero,A) = A ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,zero),A) ),[0],$fot(addition(zero,A))]]) ).
cnf(refute_0_406,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_35,refute_0_406]) ).
cnf(refute_0_408,plain,
addition(zero,multiplication(X_269,X_270)) = multiplication(X_269,X_270),
inference(subst,[],[refute_0_407:[bind(A,$fot(multiplication(X_269,X_270)))]]) ).
cnf(refute_0_409,plain,
( addition(zero,multiplication(X_269,X_270)) != multiplication(X_269,X_270)
| multiplication(addition(antidomain(X_270),X_269),X_270) != addition(zero,multiplication(X_269,X_270))
| multiplication(addition(antidomain(X_270),X_269),X_270) = multiplication(X_269,X_270) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_270),X_269),X_270),addition(zero,multiplication(X_269,X_270))) ),[1],$fot(multiplication(X_269,X_270))]]) ).
cnf(refute_0_410,plain,
( multiplication(addition(antidomain(X_270),X_269),X_270) != addition(zero,multiplication(X_269,X_270))
| multiplication(addition(antidomain(X_270),X_269),X_270) = multiplication(X_269,X_270) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_269,X_270)),multiplication(X_269,X_270)) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
multiplication(addition(antidomain(X_270),X_269),X_270) = multiplication(X_269,X_270),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_270),X_269),X_270),addition(zero,multiplication(X_269,X_270))) )],[refute_0_403,refute_0_410]) ).
cnf(refute_0_412,plain,
multiplication(addition(antidomain(X_270),addition(X_770,X_768)),X_270) = multiplication(addition(X_770,X_768),X_270),
inference(subst,[],[refute_0_411:[bind(X_269,$fot(addition(X_770,X_768)))]]) ).
cnf(refute_0_413,plain,
addition(X_768,addition(antidomain(X_270),X_770)) = addition(antidomain(X_270),addition(X_770,X_768)),
inference(subst,[],[refute_0_271:[bind(A,$fot(X_768)),bind(X_101,$fot(antidomain(X_270))),bind(X_102,$fot(X_770))]]) ).
cnf(refute_0_414,plain,
( addition(X_768,addition(antidomain(X_270),X_770)) != addition(antidomain(X_270),addition(X_770,X_768))
| addition(antidomain(X_270),addition(X_770,X_768)) = addition(X_768,addition(antidomain(X_270),X_770)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_768,addition(antidomain(X_270),X_770)))),bind(Y,$fot(addition(antidomain(X_270),addition(X_770,X_768))))]]) ).
cnf(refute_0_415,plain,
addition(antidomain(X_270),addition(X_770,X_768)) = addition(X_768,addition(antidomain(X_270),X_770)),
inference(resolve,[$cnf( $equal(addition(X_768,addition(antidomain(X_270),X_770)),addition(antidomain(X_270),addition(X_770,X_768))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
( addition(antidomain(X_270),addition(X_770,X_768)) != addition(X_768,addition(antidomain(X_270),X_770))
| multiplication(addition(antidomain(X_270),addition(X_770,X_768)),X_270) != multiplication(addition(X_770,X_768),X_270)
| multiplication(addition(X_768,addition(antidomain(X_270),X_770)),X_270) = multiplication(addition(X_770,X_768),X_270) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_270),addition(X_770,X_768)),X_270),multiplication(addition(X_770,X_768),X_270)) ),[0,0],$fot(addition(X_768,addition(antidomain(X_270),X_770)))]]) ).
cnf(refute_0_417,plain,
( multiplication(addition(antidomain(X_270),addition(X_770,X_768)),X_270) != multiplication(addition(X_770,X_768),X_270)
| multiplication(addition(X_768,addition(antidomain(X_270),X_770)),X_270) = multiplication(addition(X_770,X_768),X_270) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_270),addition(X_770,X_768)),addition(X_768,addition(antidomain(X_270),X_770))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
multiplication(addition(X_768,addition(antidomain(X_270),X_770)),X_270) = multiplication(addition(X_770,X_768),X_270),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_270),addition(X_770,X_768)),X_270),multiplication(addition(X_770,X_768),X_270)) )],[refute_0_412,refute_0_417]) ).
cnf(refute_0_419,plain,
multiplication(addition(addition(X_271,antidomain(C)),B),C) = addition(multiplication(addition(X_271,antidomain(C)),C),multiplication(B,C)),
inference(subst,[],[refute_0_26:[bind(A,$fot(addition(X_271,antidomain(C))))]]) ).
cnf(refute_0_420,plain,
multiplication(addition(X_268,antidomain(X_270)),X_270) = addition(multiplication(X_268,X_270),multiplication(antidomain(X_270),X_270)),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_268)),bind(B,$fot(antidomain(X_270))),bind(C,$fot(X_270))]]) ).
cnf(refute_0_421,plain,
( multiplication(addition(X_268,antidomain(X_270)),X_270) != addition(multiplication(X_268,X_270),multiplication(antidomain(X_270),X_270))
| multiplication(antidomain(X_270),X_270) != zero
| multiplication(addition(X_268,antidomain(X_270)),X_270) = addition(multiplication(X_268,X_270),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_268,antidomain(X_270)),X_270),addition(multiplication(X_268,X_270),multiplication(antidomain(X_270),X_270))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_422,plain,
( multiplication(addition(X_268,antidomain(X_270)),X_270) != addition(multiplication(X_268,X_270),multiplication(antidomain(X_270),X_270))
| multiplication(addition(X_268,antidomain(X_270)),X_270) = addition(multiplication(X_268,X_270),zero) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_270),X_270),zero) )],[refute_0_400,refute_0_421]) ).
cnf(refute_0_423,plain,
multiplication(addition(X_268,antidomain(X_270)),X_270) = addition(multiplication(X_268,X_270),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,antidomain(X_270)),X_270),addition(multiplication(X_268,X_270),multiplication(antidomain(X_270),X_270))) )],[refute_0_420,refute_0_422]) ).
cnf(refute_0_424,plain,
addition(multiplication(X_268,X_270),zero) = multiplication(X_268,X_270),
inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(X_268,X_270)))]]) ).
cnf(refute_0_425,plain,
( addition(multiplication(X_268,X_270),zero) != multiplication(X_268,X_270)
| multiplication(addition(X_268,antidomain(X_270)),X_270) != addition(multiplication(X_268,X_270),zero)
| multiplication(addition(X_268,antidomain(X_270)),X_270) = multiplication(X_268,X_270) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_268,antidomain(X_270)),X_270),addition(multiplication(X_268,X_270),zero)) ),[1],$fot(multiplication(X_268,X_270))]]) ).
cnf(refute_0_426,plain,
( multiplication(addition(X_268,antidomain(X_270)),X_270) != addition(multiplication(X_268,X_270),zero)
| multiplication(addition(X_268,antidomain(X_270)),X_270) = multiplication(X_268,X_270) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_268,X_270),zero),multiplication(X_268,X_270)) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
multiplication(addition(X_268,antidomain(X_270)),X_270) = multiplication(X_268,X_270),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,antidomain(X_270)),X_270),addition(multiplication(X_268,X_270),zero)) )],[refute_0_423,refute_0_426]) ).
cnf(refute_0_428,plain,
multiplication(addition(X_271,antidomain(C)),C) = multiplication(X_271,C),
inference(subst,[],[refute_0_427:[bind(X_268,$fot(X_271)),bind(X_270,$fot(C))]]) ).
cnf(refute_0_429,plain,
( multiplication(addition(X_271,antidomain(C)),C) != multiplication(X_271,C)
| multiplication(addition(addition(X_271,antidomain(C)),B),C) != addition(multiplication(addition(X_271,antidomain(C)),C),multiplication(B,C))
| multiplication(addition(addition(X_271,antidomain(C)),B),C) = addition(multiplication(X_271,C),multiplication(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(addition(X_271,antidomain(C)),B),C),addition(multiplication(addition(X_271,antidomain(C)),C),multiplication(B,C))) ),[1,0],$fot(multiplication(X_271,C))]]) ).
cnf(refute_0_430,plain,
( multiplication(addition(addition(X_271,antidomain(C)),B),C) != addition(multiplication(addition(X_271,antidomain(C)),C),multiplication(B,C))
| multiplication(addition(addition(X_271,antidomain(C)),B),C) = addition(multiplication(X_271,C),multiplication(B,C)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_271,antidomain(C)),C),multiplication(X_271,C)) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
multiplication(addition(addition(X_271,antidomain(C)),B),C) = addition(multiplication(X_271,C),multiplication(B,C)),
inference(resolve,[$cnf( $equal(multiplication(addition(addition(X_271,antidomain(C)),B),C),addition(multiplication(addition(X_271,antidomain(C)),C),multiplication(B,C))) )],[refute_0_419,refute_0_430]) ).
cnf(refute_0_432,plain,
addition(addition(X_271,antidomain(C)),B) = addition(X_271,addition(antidomain(C),B)),
inference(subst,[],[refute_0_289:[bind(A,$fot(X_271)),bind(B,$fot(antidomain(C))),bind(C,$fot(B))]]) ).
cnf(refute_0_433,plain,
multiplication(addition(addition(X_271,antidomain(C)),B),C) = multiplication(addition(addition(X_271,antidomain(C)),B),C),
introduced(tautology,[refl,[$fot(multiplication(addition(addition(X_271,antidomain(C)),B),C))]]) ).
cnf(refute_0_434,plain,
( addition(addition(X_271,antidomain(C)),B) != addition(X_271,addition(antidomain(C),B))
| multiplication(addition(addition(X_271,antidomain(C)),B),C) != multiplication(addition(addition(X_271,antidomain(C)),B),C)
| multiplication(addition(addition(X_271,antidomain(C)),B),C) = multiplication(addition(X_271,addition(antidomain(C),B)),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(addition(X_271,antidomain(C)),B),C),multiplication(addition(addition(X_271,antidomain(C)),B),C)) ),[1,0],$fot(addition(X_271,addition(antidomain(C),B)))]]) ).
cnf(refute_0_435,plain,
( addition(addition(X_271,antidomain(C)),B) != addition(X_271,addition(antidomain(C),B))
| multiplication(addition(addition(X_271,antidomain(C)),B),C) = multiplication(addition(X_271,addition(antidomain(C),B)),C) ),
inference(resolve,[$cnf( $equal(multiplication(addition(addition(X_271,antidomain(C)),B),C),multiplication(addition(addition(X_271,antidomain(C)),B),C)) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
multiplication(addition(addition(X_271,antidomain(C)),B),C) = multiplication(addition(X_271,addition(antidomain(C),B)),C),
inference(resolve,[$cnf( $equal(addition(addition(X_271,antidomain(C)),B),addition(X_271,addition(antidomain(C),B))) )],[refute_0_432,refute_0_435]) ).
cnf(refute_0_437,plain,
( multiplication(addition(addition(X_271,antidomain(C)),B),C) != addition(multiplication(X_271,C),multiplication(B,C))
| multiplication(addition(addition(X_271,antidomain(C)),B),C) != multiplication(addition(X_271,addition(antidomain(C),B)),C)
| multiplication(addition(X_271,addition(antidomain(C),B)),C) = addition(multiplication(X_271,C),multiplication(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(addition(X_271,antidomain(C)),B),C),addition(multiplication(X_271,C),multiplication(B,C))) ),[0],$fot(multiplication(addition(X_271,addition(antidomain(C),B)),C))]]) ).
cnf(refute_0_438,plain,
( multiplication(addition(addition(X_271,antidomain(C)),B),C) != addition(multiplication(X_271,C),multiplication(B,C))
| multiplication(addition(X_271,addition(antidomain(C),B)),C) = addition(multiplication(X_271,C),multiplication(B,C)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(addition(X_271,antidomain(C)),B),C),multiplication(addition(X_271,addition(antidomain(C),B)),C)) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
addition(multiplication(X_271,C),multiplication(B,C)) = multiplication(addition(X_271,B),C),
inference(subst,[],[refute_0_382:[bind(A,$fot(X_271))]]) ).
cnf(refute_0_440,plain,
( addition(multiplication(X_271,C),multiplication(B,C)) != multiplication(addition(X_271,B),C)
| multiplication(addition(X_271,addition(antidomain(C),B)),C) != addition(multiplication(X_271,C),multiplication(B,C))
| multiplication(addition(X_271,addition(antidomain(C),B)),C) = multiplication(addition(X_271,B),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_271,addition(antidomain(C),B)),C),addition(multiplication(X_271,C),multiplication(B,C))) ),[1],$fot(multiplication(addition(X_271,B),C))]]) ).
cnf(refute_0_441,plain,
( multiplication(addition(X_271,addition(antidomain(C),B)),C) != addition(multiplication(X_271,C),multiplication(B,C))
| multiplication(addition(X_271,addition(antidomain(C),B)),C) = multiplication(addition(X_271,B),C) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_271,C),multiplication(B,C)),multiplication(addition(X_271,B),C)) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
( multiplication(addition(addition(X_271,antidomain(C)),B),C) != addition(multiplication(X_271,C),multiplication(B,C))
| multiplication(addition(X_271,addition(antidomain(C),B)),C) = multiplication(addition(X_271,B),C) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_271,addition(antidomain(C),B)),C),addition(multiplication(X_271,C),multiplication(B,C))) )],[refute_0_438,refute_0_441]) ).
cnf(refute_0_443,plain,
multiplication(addition(X_271,addition(antidomain(C),B)),C) = multiplication(addition(X_271,B),C),
inference(resolve,[$cnf( $equal(multiplication(addition(addition(X_271,antidomain(C)),B),C),addition(multiplication(X_271,C),multiplication(B,C))) )],[refute_0_431,refute_0_442]) ).
cnf(refute_0_444,plain,
multiplication(addition(X_768,addition(antidomain(X_270),X_770)),X_270) = multiplication(addition(X_768,X_770),X_270),
inference(subst,[],[refute_0_443:[bind(B,$fot(X_770)),bind(C,$fot(X_270)),bind(X_271,$fot(X_768))]]) ).
cnf(refute_0_445,plain,
( multiplication(addition(X_768,addition(antidomain(X_270),X_770)),X_270) != multiplication(addition(X_768,X_770),X_270)
| multiplication(addition(X_768,addition(antidomain(X_270),X_770)),X_270) != multiplication(addition(X_770,X_768),X_270)
| multiplication(addition(X_768,X_770),X_270) = multiplication(addition(X_770,X_768),X_270) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_768,addition(antidomain(X_270),X_770)),X_270),multiplication(addition(X_770,X_768),X_270)) ),[0],$fot(multiplication(addition(X_768,X_770),X_270))]]) ).
cnf(refute_0_446,plain,
( multiplication(addition(X_768,addition(antidomain(X_270),X_770)),X_270) != multiplication(addition(X_770,X_768),X_270)
| multiplication(addition(X_768,X_770),X_270) = multiplication(addition(X_770,X_768),X_270) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_768,addition(antidomain(X_270),X_770)),X_270),multiplication(addition(X_768,X_770),X_270)) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
multiplication(addition(X_768,X_770),X_270) = multiplication(addition(X_770,X_768),X_270),
inference(resolve,[$cnf( $equal(multiplication(addition(X_768,addition(antidomain(X_270),X_770)),X_270),multiplication(addition(X_770,X_768),X_270)) )],[refute_0_418,refute_0_446]) ).
cnf(refute_0_448,plain,
( multiplication(addition(X_768,X_770),X_270) != multiplication(addition(X_770,X_768),X_270)
| multiplication(addition(X_770,X_768),X_270) = multiplication(addition(X_768,X_770),X_270) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(X_768,X_770),X_270))),bind(Y,$fot(multiplication(addition(X_770,X_768),X_270)))]]) ).
cnf(refute_0_449,plain,
multiplication(addition(X_770,X_768),X_270) = multiplication(addition(X_768,X_770),X_270),
inference(resolve,[$cnf( $equal(multiplication(addition(X_768,X_770),X_270),multiplication(addition(X_770,X_768),X_270)) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
multiplication(addition(addition(one,X_829),one),codomain(X0)) = multiplication(addition(one,addition(one,X_829)),codomain(X0)),
inference(subst,[],[refute_0_449:[bind(X_270,$fot(codomain(X0))),bind(X_768,$fot(one)),bind(X_770,$fot(addition(one,X_829)))]]) ).
cnf(refute_0_451,plain,
( multiplication(addition(addition(one,X_829),one),codomain(X0)) != multiplication(addition(one,addition(one,X_829)),codomain(X0))
| multiplication(addition(one,addition(one,X_829)),codomain(X0)) != multiplication(addition(one,X_829),codomain(X0))
| multiplication(addition(addition(one,X_829),one),codomain(X0)) = multiplication(addition(one,X_829),codomain(X0)) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(multiplication(addition(addition(one,X_829),one),codomain(X0)))),bind(Y,$fot(multiplication(addition(one,addition(one,X_829)),codomain(X0)))),bind(Z,$fot(multiplication(addition(one,X_829),codomain(X0))))]]) ).
cnf(refute_0_452,plain,
( multiplication(addition(one,addition(one,X_829)),codomain(X0)) != multiplication(addition(one,X_829),codomain(X0))
| multiplication(addition(addition(one,X_829),one),codomain(X0)) = multiplication(addition(one,X_829),codomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(addition(one,X_829),one),codomain(X0)),multiplication(addition(one,addition(one,X_829)),codomain(X0))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
multiplication(addition(addition(one,X_829),one),codomain(X0)) = multiplication(addition(one,X_829),codomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,addition(one,X_829)),codomain(X0)),multiplication(addition(one,X_829),codomain(X0))) )],[refute_0_397,refute_0_452]) ).
cnf(refute_0_454,plain,
( multiplication(addition(X_829,one),codomain(X0)) != multiplication(addition(addition(one,X_829),one),codomain(X0))
| multiplication(addition(addition(one,X_829),one),codomain(X0)) != multiplication(addition(one,X_829),codomain(X0))
| multiplication(addition(X_829,one),codomain(X0)) = multiplication(addition(one,X_829),codomain(X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(addition(X_829,one),codomain(X0)),multiplication(addition(one,X_829),codomain(X0))) ),[0],$fot(multiplication(addition(addition(one,X_829),one),codomain(X0)))]]) ).
cnf(refute_0_455,plain,
( multiplication(addition(X_829,one),codomain(X0)) != multiplication(addition(addition(one,X_829),one),codomain(X0))
| multiplication(addition(X_829,one),codomain(X0)) = multiplication(addition(one,X_829),codomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(addition(one,X_829),one),codomain(X0)),multiplication(addition(one,X_829),codomain(X0))) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
( multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)) != multiplication(addition(addition(one,X_829),one),codomain(X0))
| multiplication(addition(X_829,one),codomain(X0)) = multiplication(addition(one,X_829),codomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_829,one),codomain(X0)),multiplication(addition(addition(one,X_829),one),codomain(X0))) )],[refute_0_392,refute_0_455]) ).
cnf(refute_0_457,plain,
multiplication(addition(X_829,one),codomain(X0)) = multiplication(addition(one,X_829),codomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,addition(codomain(X0),X_829)),codomain(X0)),multiplication(addition(addition(one,X_829),one),codomain(X0))) )],[refute_0_324,refute_0_456]) ).
cnf(refute_0_458,plain,
multiplication(addition(codomain(codomain(X0)),one),codomain(X0)) = multiplication(addition(one,codomain(codomain(X0))),codomain(X0)),
inference(subst,[],[refute_0_457:[bind(X_829,$fot(codomain(codomain(X0))))]]) ).
cnf(refute_0_459,plain,
( multiplication(addition(codomain(codomain(X0)),one),codomain(X0)) != multiplication(addition(one,codomain(codomain(X0))),codomain(X0))
| multiplication(addition(one,codomain(codomain(X0))),codomain(X0)) != codomain(X0)
| multiplication(addition(codomain(codomain(X0)),one),codomain(X0)) = codomain(X0) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(multiplication(addition(codomain(codomain(X0)),one),codomain(X0)))),bind(Y,$fot(multiplication(addition(one,codomain(codomain(X0))),codomain(X0)))),bind(Z,$fot(codomain(X0)))]]) ).
cnf(refute_0_460,plain,
( multiplication(addition(one,codomain(codomain(X0))),codomain(X0)) != codomain(X0)
| multiplication(addition(codomain(codomain(X0)),one),codomain(X0)) = codomain(X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(codomain(codomain(X0)),one),codomain(X0)),multiplication(addition(one,codomain(codomain(X0))),codomain(X0))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
multiplication(addition(codomain(codomain(X0)),one),codomain(X0)) = codomain(X0),
inference(resolve,[$cnf( $equal(multiplication(addition(one,codomain(codomain(X0))),codomain(X0)),codomain(X0)) )],[refute_0_263,refute_0_460]) ).
cnf(refute_0_462,plain,
( codomain(codomain(X0)) != multiplication(addition(codomain(codomain(X0)),one),codomain(X0))
| multiplication(addition(codomain(codomain(X0)),one),codomain(X0)) != codomain(X0)
| codomain(codomain(X0)) = codomain(X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(codomain(codomain(X0)),codomain(X0)) ),[0],$fot(multiplication(addition(codomain(codomain(X0)),one),codomain(X0)))]]) ).
cnf(refute_0_463,plain,
( codomain(codomain(X0)) != multiplication(addition(codomain(codomain(X0)),one),codomain(X0))
| codomain(codomain(X0)) = codomain(X0) ),
inference(resolve,[$cnf( $equal(multiplication(addition(codomain(codomain(X0)),one),codomain(X0)),codomain(X0)) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
( multiplication(codomain(codomain(X0)),codomain(X0)) != multiplication(addition(codomain(codomain(X0)),one),codomain(X0))
| codomain(codomain(X0)) = codomain(X0) ),
inference(resolve,[$cnf( $equal(codomain(codomain(X0)),multiplication(addition(codomain(codomain(X0)),one),codomain(X0))) )],[refute_0_252,refute_0_463]) ).
cnf(refute_0_465,plain,
codomain(codomain(X0)) = codomain(X0),
inference(resolve,[$cnf( $equal(multiplication(codomain(codomain(X0)),codomain(X0)),multiplication(addition(codomain(codomain(X0)),one),codomain(X0))) )],[refute_0_189,refute_0_464]) ).
cnf(refute_0_466,plain,
codomain(codomain(domain(skolemFOFtoCNF_X0))) = codomain(domain(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_465:[bind(X0,$fot(domain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_467,plain,
addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))) = addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_468,plain,
( addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))) != addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0))))
| codomain(codomain(domain(skolemFOFtoCNF_X0))) != codomain(domain(skolemFOFtoCNF_X0))
| addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))) = addition(domain(skolemFOFtoCNF_X0),codomain(domain(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))),addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0))))) ),[1,1],$fot(codomain(domain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_469,plain,
( codomain(codomain(domain(skolemFOFtoCNF_X0))) != codomain(domain(skolemFOFtoCNF_X0))
| addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))) = addition(domain(skolemFOFtoCNF_X0),codomain(domain(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))),addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0))))) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))) = addition(domain(skolemFOFtoCNF_X0),codomain(domain(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(codomain(codomain(domain(skolemFOFtoCNF_X0))),codomain(domain(skolemFOFtoCNF_X0))) )],[refute_0_466,refute_0_469]) ).
cnf(refute_0_471,plain,
( addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))) != addition(domain(skolemFOFtoCNF_X0),codomain(domain(skolemFOFtoCNF_X0)))
| addition(domain(skolemFOFtoCNF_X0),codomain(domain(skolemFOFtoCNF_X0))) != domain(skolemFOFtoCNF_X0)
| addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))) = domain(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))),domain(skolemFOFtoCNF_X0)) ),[0],$fot(addition(domain(skolemFOFtoCNF_X0),codomain(domain(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_472,plain,
( addition(domain(skolemFOFtoCNF_X0),codomain(domain(skolemFOFtoCNF_X0))) != domain(skolemFOFtoCNF_X0)
| addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))) = domain(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))),addition(domain(skolemFOFtoCNF_X0),codomain(domain(skolemFOFtoCNF_X0)))) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
addition(domain(skolemFOFtoCNF_X0),codomain(domain(skolemFOFtoCNF_X0))) != domain(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),codomain(codomain(domain(skolemFOFtoCNF_X0)))),domain(skolemFOFtoCNF_X0)) )],[refute_0_472,refute_0_25]) ).
cnf(refute_0_474,plain,
( ~ leq(A,B)
| addition(A,B) = B ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_475,plain,
( ~ leq(domain(X_1490),codomain(domain(X_1490)))
| addition(domain(X_1490),codomain(domain(X_1490))) = codomain(domain(X_1490)) ),
inference(subst,[],[refute_0_474:[bind(A,$fot(domain(X_1490))),bind(B,$fot(codomain(domain(X_1490))))]]) ).
cnf(refute_0_476,plain,
( addition(A,B) != B
| leq(A,B) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_477,plain,
( addition(X_391,addition(X_102,X_391)) != addition(X_102,X_391)
| leq(X_391,addition(X_102,X_391)) ),
inference(subst,[],[refute_0_476:[bind(A,$fot(X_391)),bind(B,$fot(addition(X_102,X_391)))]]) ).
cnf(refute_0_478,plain,
addition(X_102,X_391) = addition(X_391,addition(X_102,X_391)),
inference(subst,[],[refute_0_368:[bind(X_103,$fot(X_391))]]) ).
cnf(refute_0_479,plain,
( addition(X_102,X_391) != addition(X_391,addition(X_102,X_391))
| addition(X_391,addition(X_102,X_391)) = addition(X_102,X_391) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_102,X_391))),bind(Y,$fot(addition(X_391,addition(X_102,X_391))))]]) ).
cnf(refute_0_480,plain,
addition(X_391,addition(X_102,X_391)) = addition(X_102,X_391),
inference(resolve,[$cnf( $equal(addition(X_102,X_391),addition(X_391,addition(X_102,X_391))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
( addition(X_102,X_391) != addition(X_102,X_391)
| addition(X_391,addition(X_102,X_391)) != addition(X_102,X_391)
| addition(X_391,addition(X_102,X_391)) = addition(X_102,X_391) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_391,addition(X_102,X_391)),addition(X_102,X_391)) ),[0,1],$fot(addition(X_102,X_391))]]) ).
cnf(refute_0_482,plain,
( addition(X_102,X_391) != addition(X_102,X_391)
| addition(X_391,addition(X_102,X_391)) = addition(X_102,X_391) ),
inference(resolve,[$cnf( $equal(addition(X_391,addition(X_102,X_391)),addition(X_102,X_391)) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
( addition(X_102,X_391) != addition(X_102,X_391)
| leq(X_391,addition(X_102,X_391)) ),
inference(resolve,[$cnf( $equal(addition(X_391,addition(X_102,X_391)),addition(X_102,X_391)) )],[refute_0_482,refute_0_477]) ).
cnf(refute_0_484,plain,
addition(X_102,X_391) = addition(X_102,X_391),
introduced(tautology,[refl,[$fot(addition(X_102,X_391))]]) ).
cnf(refute_0_485,plain,
leq(X_391,addition(X_102,X_391)),
inference(resolve,[$cnf( $equal(addition(X_102,X_391),addition(X_102,X_391)) )],[refute_0_484,refute_0_483]) ).
cnf(refute_0_486,plain,
leq(multiplication(antidomain(X_1469),X_102),addition(X_102,multiplication(antidomain(X_1469),X_102))),
inference(subst,[],[refute_0_485:[bind(X_391,$fot(multiplication(antidomain(X_1469),X_102)))]]) ).
cnf(refute_0_487,plain,
multiplication(addition(one,X_269),X_270) = addition(multiplication(one,X_270),multiplication(X_269,X_270)),
inference(subst,[],[refute_0_26:[bind(A,$fot(one)),bind(B,$fot(X_269)),bind(C,$fot(X_270))]]) ).
cnf(refute_0_488,plain,
( multiplication(addition(one,X_269),X_270) != addition(multiplication(one,X_270),multiplication(X_269,X_270))
| multiplication(one,X_270) != X_270
| multiplication(addition(one,X_269),X_270) = addition(X_270,multiplication(X_269,X_270)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_269),X_270),addition(multiplication(one,X_270),multiplication(X_269,X_270))) ),[1,0],$fot(X_270)]]) ).
cnf(refute_0_489,plain,
( multiplication(addition(one,X_269),X_270) != addition(multiplication(one,X_270),multiplication(X_269,X_270))
| multiplication(addition(one,X_269),X_270) = addition(X_270,multiplication(X_269,X_270)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_270),X_270) )],[refute_0_89,refute_0_488]) ).
cnf(refute_0_490,plain,
multiplication(addition(one,X_269),X_270) = addition(X_270,multiplication(X_269,X_270)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_269),X_270),addition(multiplication(one,X_270),multiplication(X_269,X_270))) )],[refute_0_487,refute_0_489]) ).
cnf(refute_0_491,plain,
multiplication(addition(one,antidomain(X0)),X_1071) = addition(X_1071,multiplication(antidomain(X0),X_1071)),
inference(subst,[],[refute_0_490:[bind(X_269,$fot(antidomain(X0))),bind(X_270,$fot(X_1071))]]) ).
cnf(refute_0_492,plain,
addition(antidomain(X0),addition(antidomain(X0),domain(X0))) = addition(antidomain(X0),domain(X0)),
inference(subst,[],[refute_0_361:[bind(X_102,$fot(antidomain(X0))),bind(X_103,$fot(domain(X0)))]]) ).
cnf(refute_0_493,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_494,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(subst,[],[refute_0_6:[bind(A,$fot(antidomain(X0))),bind(B,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_495,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != addition(antidomain(X0),antidomain(antidomain(X0)))
| addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) ),[0],$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_496,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) )],[refute_0_493,refute_0_496]) ).
cnf(refute_0_498,plain,
domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_499,plain,
( domain(X0) != antidomain(antidomain(X0))
| antidomain(antidomain(X0)) = domain(X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(domain(X0))),bind(Y,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_500,plain,
antidomain(antidomain(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(domain(X0),antidomain(antidomain(X0))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(antidomain(X0))),
introduced(tautology,[refl,[$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_502,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_503,plain,
( antidomain(antidomain(X0)) != domain(X0)
| addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_500,refute_0_503]) ).
cnf(refute_0_505,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) ),[0],$fot(addition(antidomain(X0),domain(X0)))]]) ).
cnf(refute_0_506,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),domain(X0))) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
addition(antidomain(X0),domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) )],[refute_0_497,refute_0_506]) ).
cnf(refute_0_508,plain,
( addition(antidomain(X0),addition(antidomain(X0),domain(X0))) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),domain(X0)) != one
| addition(antidomain(X0),one) = addition(antidomain(X0),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),addition(antidomain(X0),domain(X0))),addition(antidomain(X0),domain(X0))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_509,plain,
( addition(antidomain(X0),addition(antidomain(X0),domain(X0))) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),one) = addition(antidomain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
addition(antidomain(X0),one) = addition(antidomain(X0),domain(X0)),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),addition(antidomain(X0),domain(X0))),addition(antidomain(X0),domain(X0))) )],[refute_0_492,refute_0_509]) ).
cnf(refute_0_511,plain,
addition(antidomain(X0),one) = addition(one,antidomain(X0)),
inference(subst,[],[refute_0_6:[bind(A,$fot(one)),bind(B,$fot(antidomain(X0)))]]) ).
cnf(refute_0_512,plain,
( addition(antidomain(X0),one) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),one) != addition(one,antidomain(X0))
| addition(one,antidomain(X0)) = addition(antidomain(X0),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),one),addition(antidomain(X0),domain(X0))) ),[0],$fot(addition(one,antidomain(X0)))]]) ).
cnf(refute_0_513,plain,
( addition(antidomain(X0),one) != addition(antidomain(X0),domain(X0))
| addition(one,antidomain(X0)) = addition(antidomain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),one),addition(one,antidomain(X0))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
( addition(antidomain(X0),domain(X0)) != one
| addition(one,antidomain(X0)) != addition(antidomain(X0),domain(X0))
| addition(one,antidomain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,antidomain(X0)),addition(antidomain(X0),domain(X0))) ),[1],$fot(one)]]) ).
cnf(refute_0_515,plain,
( addition(one,antidomain(X0)) != addition(antidomain(X0),domain(X0))
| addition(one,antidomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_507,refute_0_514]) ).
cnf(refute_0_516,plain,
( addition(antidomain(X0),one) != addition(antidomain(X0),domain(X0))
| addition(one,antidomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X0)),addition(antidomain(X0),domain(X0))) )],[refute_0_513,refute_0_515]) ).
cnf(refute_0_517,plain,
addition(one,antidomain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),one),addition(antidomain(X0),domain(X0))) )],[refute_0_510,refute_0_516]) ).
cnf(refute_0_518,plain,
( addition(one,antidomain(X0)) != one
| multiplication(addition(one,antidomain(X0)),X_1071) != addition(X_1071,multiplication(antidomain(X0),X_1071))
| multiplication(one,X_1071) = addition(X_1071,multiplication(antidomain(X0),X_1071)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(X0)),X_1071),addition(X_1071,multiplication(antidomain(X0),X_1071))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_519,plain,
( multiplication(addition(one,antidomain(X0)),X_1071) != addition(X_1071,multiplication(antidomain(X0),X_1071))
| multiplication(one,X_1071) = addition(X_1071,multiplication(antidomain(X0),X_1071)) ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X0)),one) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
multiplication(one,X_1071) = addition(X_1071,multiplication(antidomain(X0),X_1071)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X0)),X_1071),addition(X_1071,multiplication(antidomain(X0),X_1071))) )],[refute_0_491,refute_0_519]) ).
cnf(refute_0_521,plain,
multiplication(one,X_1071) = X_1071,
inference(subst,[],[refute_0_88:[bind(A,$fot(X_1071))]]) ).
cnf(refute_0_522,plain,
( multiplication(one,X_1071) != X_1071
| multiplication(one,X_1071) != addition(X_1071,multiplication(antidomain(X0),X_1071))
| X_1071 = addition(X_1071,multiplication(antidomain(X0),X_1071)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_1071),addition(X_1071,multiplication(antidomain(X0),X_1071))) ),[0],$fot(X_1071)]]) ).
cnf(refute_0_523,plain,
( multiplication(one,X_1071) != addition(X_1071,multiplication(antidomain(X0),X_1071))
| X_1071 = addition(X_1071,multiplication(antidomain(X0),X_1071)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_1071),X_1071) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
X_1071 = addition(X_1071,multiplication(antidomain(X0),X_1071)),
inference(resolve,[$cnf( $equal(multiplication(one,X_1071),addition(X_1071,multiplication(antidomain(X0),X_1071))) )],[refute_0_520,refute_0_523]) ).
cnf(refute_0_525,plain,
X_102 = addition(X_102,multiplication(antidomain(X_1469),X_102)),
inference(subst,[],[refute_0_524:[bind(X0,$fot(X_1469)),bind(X_1071,$fot(X_102))]]) ).
cnf(refute_0_526,plain,
( X_102 != addition(X_102,multiplication(antidomain(X_1469),X_102))
| addition(X_102,multiplication(antidomain(X_1469),X_102)) = X_102 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_102)),bind(Y,$fot(addition(X_102,multiplication(antidomain(X_1469),X_102))))]]) ).
cnf(refute_0_527,plain,
addition(X_102,multiplication(antidomain(X_1469),X_102)) = X_102,
inference(resolve,[$cnf( $equal(X_102,addition(X_102,multiplication(antidomain(X_1469),X_102))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
( addition(X_102,multiplication(antidomain(X_1469),X_102)) != X_102
| ~ leq(multiplication(antidomain(X_1469),X_102),addition(X_102,multiplication(antidomain(X_1469),X_102)))
| leq(multiplication(antidomain(X_1469),X_102),X_102) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(antidomain(X_1469),X_102),addition(X_102,multiplication(antidomain(X_1469),X_102))) ),[1],$fot(X_102)]]) ).
cnf(refute_0_529,plain,
( ~ leq(multiplication(antidomain(X_1469),X_102),addition(X_102,multiplication(antidomain(X_1469),X_102)))
| leq(multiplication(antidomain(X_1469),X_102),X_102) ),
inference(resolve,[$cnf( $equal(addition(X_102,multiplication(antidomain(X_1469),X_102)),X_102) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
leq(multiplication(antidomain(X_1469),X_102),X_102),
inference(resolve,[$cnf( leq(multiplication(antidomain(X_1469),X_102),addition(X_102,multiplication(antidomain(X_1469),X_102))) )],[refute_0_486,refute_0_529]) ).
cnf(refute_0_531,plain,
leq(multiplication(antidomain(X_1488),codomain(antidomain(X_1488))),codomain(antidomain(X_1488))),
inference(subst,[],[refute_0_530:[bind(X_102,$fot(codomain(antidomain(X_1488)))),bind(X_1469,$fot(X_1488))]]) ).
cnf(refute_0_532,plain,
multiplication(X_140,addition(coantidomain(X_140),X_142)) = addition(multiplication(X_140,coantidomain(X_140)),multiplication(X_140,X_142)),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_140)),bind(B,$fot(coantidomain(X_140))),bind(C,$fot(X_142))]]) ).
cnf(refute_0_533,plain,
( multiplication(X_140,addition(coantidomain(X_140),X_142)) != addition(multiplication(X_140,coantidomain(X_140)),multiplication(X_140,X_142))
| multiplication(X_140,coantidomain(X_140)) != zero
| multiplication(X_140,addition(coantidomain(X_140),X_142)) = addition(zero,multiplication(X_140,X_142)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_140,addition(coantidomain(X_140),X_142)),addition(multiplication(X_140,coantidomain(X_140)),multiplication(X_140,X_142))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_534,plain,
( multiplication(X_140,addition(coantidomain(X_140),X_142)) != addition(multiplication(X_140,coantidomain(X_140)),multiplication(X_140,X_142))
| multiplication(X_140,addition(coantidomain(X_140),X_142)) = addition(zero,multiplication(X_140,X_142)) ),
inference(resolve,[$cnf( $equal(multiplication(X_140,coantidomain(X_140)),zero) )],[refute_0_31,refute_0_533]) ).
cnf(refute_0_535,plain,
multiplication(X_140,addition(coantidomain(X_140),X_142)) = addition(zero,multiplication(X_140,X_142)),
inference(resolve,[$cnf( $equal(multiplication(X_140,addition(coantidomain(X_140),X_142)),addition(multiplication(X_140,coantidomain(X_140)),multiplication(X_140,X_142))) )],[refute_0_532,refute_0_534]) ).
cnf(refute_0_536,plain,
addition(zero,multiplication(X_140,X_142)) = multiplication(X_140,X_142),
inference(subst,[],[refute_0_407:[bind(A,$fot(multiplication(X_140,X_142)))]]) ).
cnf(refute_0_537,plain,
( addition(zero,multiplication(X_140,X_142)) != multiplication(X_140,X_142)
| multiplication(X_140,addition(coantidomain(X_140),X_142)) != addition(zero,multiplication(X_140,X_142))
| multiplication(X_140,addition(coantidomain(X_140),X_142)) = multiplication(X_140,X_142) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_140,addition(coantidomain(X_140),X_142)),addition(zero,multiplication(X_140,X_142))) ),[1],$fot(multiplication(X_140,X_142))]]) ).
cnf(refute_0_538,plain,
( multiplication(X_140,addition(coantidomain(X_140),X_142)) != addition(zero,multiplication(X_140,X_142))
| multiplication(X_140,addition(coantidomain(X_140),X_142)) = multiplication(X_140,X_142) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_140,X_142)),multiplication(X_140,X_142)) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
multiplication(X_140,addition(coantidomain(X_140),X_142)) = multiplication(X_140,X_142),
inference(resolve,[$cnf( $equal(multiplication(X_140,addition(coantidomain(X_140),X_142)),addition(zero,multiplication(X_140,X_142))) )],[refute_0_535,refute_0_538]) ).
cnf(refute_0_540,plain,
multiplication(X_1197,addition(coantidomain(X_1197),codomain(X_1197))) = multiplication(X_1197,codomain(X_1197)),
inference(subst,[],[refute_0_539:[bind(X_140,$fot(X_1197)),bind(X_142,$fot(codomain(X_1197)))]]) ).
cnf(refute_0_541,plain,
addition(coantidomain(X_1197),codomain(X_1197)) = one,
inference(subst,[],[refute_0_55:[bind(X0,$fot(X_1197))]]) ).
cnf(refute_0_542,plain,
( addition(coantidomain(X_1197),codomain(X_1197)) != one
| multiplication(X_1197,addition(coantidomain(X_1197),codomain(X_1197))) != multiplication(X_1197,codomain(X_1197))
| multiplication(X_1197,one) = multiplication(X_1197,codomain(X_1197)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_1197,addition(coantidomain(X_1197),codomain(X_1197))),multiplication(X_1197,codomain(X_1197))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_543,plain,
( multiplication(X_1197,addition(coantidomain(X_1197),codomain(X_1197))) != multiplication(X_1197,codomain(X_1197))
| multiplication(X_1197,one) = multiplication(X_1197,codomain(X_1197)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_1197),codomain(X_1197)),one) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
multiplication(X_1197,one) = multiplication(X_1197,codomain(X_1197)),
inference(resolve,[$cnf( $equal(multiplication(X_1197,addition(coantidomain(X_1197),codomain(X_1197))),multiplication(X_1197,codomain(X_1197))) )],[refute_0_540,refute_0_543]) ).
cnf(refute_0_545,plain,
multiplication(X_1197,one) = X_1197,
inference(subst,[],[refute_0_13:[bind(A,$fot(X_1197))]]) ).
cnf(refute_0_546,plain,
( multiplication(X_1197,one) != X_1197
| multiplication(X_1197,one) != multiplication(X_1197,codomain(X_1197))
| X_1197 = multiplication(X_1197,codomain(X_1197)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_1197,one),multiplication(X_1197,codomain(X_1197))) ),[0],$fot(X_1197)]]) ).
cnf(refute_0_547,plain,
( multiplication(X_1197,one) != multiplication(X_1197,codomain(X_1197))
| X_1197 = multiplication(X_1197,codomain(X_1197)) ),
inference(resolve,[$cnf( $equal(multiplication(X_1197,one),X_1197) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
X_1197 = multiplication(X_1197,codomain(X_1197)),
inference(resolve,[$cnf( $equal(multiplication(X_1197,one),multiplication(X_1197,codomain(X_1197))) )],[refute_0_544,refute_0_547]) ).
cnf(refute_0_549,plain,
antidomain(X_1488) = multiplication(antidomain(X_1488),codomain(antidomain(X_1488))),
inference(subst,[],[refute_0_548:[bind(X_1197,$fot(antidomain(X_1488)))]]) ).
cnf(refute_0_550,plain,
( antidomain(X_1488) != multiplication(antidomain(X_1488),codomain(antidomain(X_1488)))
| multiplication(antidomain(X_1488),codomain(antidomain(X_1488))) = antidomain(X_1488) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(antidomain(X_1488))),bind(Y,$fot(multiplication(antidomain(X_1488),codomain(antidomain(X_1488)))))]]) ).
cnf(refute_0_551,plain,
multiplication(antidomain(X_1488),codomain(antidomain(X_1488))) = antidomain(X_1488),
inference(resolve,[$cnf( $equal(antidomain(X_1488),multiplication(antidomain(X_1488),codomain(antidomain(X_1488)))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
( multiplication(antidomain(X_1488),codomain(antidomain(X_1488))) != antidomain(X_1488)
| ~ leq(multiplication(antidomain(X_1488),codomain(antidomain(X_1488))),codomain(antidomain(X_1488)))
| leq(antidomain(X_1488),codomain(antidomain(X_1488))) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(antidomain(X_1488),codomain(antidomain(X_1488))),codomain(antidomain(X_1488))) ),[0],$fot(antidomain(X_1488))]]) ).
cnf(refute_0_553,plain,
( ~ leq(multiplication(antidomain(X_1488),codomain(antidomain(X_1488))),codomain(antidomain(X_1488)))
| leq(antidomain(X_1488),codomain(antidomain(X_1488))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_1488),codomain(antidomain(X_1488))),antidomain(X_1488)) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
leq(antidomain(X_1488),codomain(antidomain(X_1488))),
inference(resolve,[$cnf( leq(multiplication(antidomain(X_1488),codomain(antidomain(X_1488))),codomain(antidomain(X_1488))) )],[refute_0_531,refute_0_553]) ).
cnf(refute_0_555,plain,
leq(antidomain(antidomain(X0)),codomain(antidomain(antidomain(X0)))),
inference(subst,[],[refute_0_554:[bind(X_1488,$fot(antidomain(X0)))]]) ).
cnf(refute_0_556,plain,
( antidomain(antidomain(X0)) != domain(X0)
| ~ leq(antidomain(antidomain(X0)),codomain(antidomain(antidomain(X0))))
| leq(domain(X0),codomain(antidomain(antidomain(X0)))) ),
introduced(tautology,[equality,[$cnf( leq(antidomain(antidomain(X0)),codomain(antidomain(antidomain(X0)))) ),[0],$fot(domain(X0))]]) ).
cnf(refute_0_557,plain,
( ~ leq(antidomain(antidomain(X0)),codomain(antidomain(antidomain(X0))))
| leq(domain(X0),codomain(antidomain(antidomain(X0)))) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_500,refute_0_556]) ).
cnf(refute_0_558,plain,
leq(domain(X0),codomain(antidomain(antidomain(X0)))),
inference(resolve,[$cnf( leq(antidomain(antidomain(X0)),codomain(antidomain(antidomain(X0)))) )],[refute_0_555,refute_0_557]) ).
cnf(refute_0_559,plain,
codomain(antidomain(antidomain(X0))) = codomain(antidomain(antidomain(X0))),
introduced(tautology,[refl,[$fot(codomain(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_560,plain,
( antidomain(antidomain(X0)) != domain(X0)
| codomain(antidomain(antidomain(X0))) != codomain(antidomain(antidomain(X0)))
| codomain(antidomain(antidomain(X0))) = codomain(domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(antidomain(antidomain(X0))),codomain(antidomain(antidomain(X0)))) ),[1,0],$fot(domain(X0))]]) ).
cnf(refute_0_561,plain,
( antidomain(antidomain(X0)) != domain(X0)
| codomain(antidomain(antidomain(X0))) = codomain(domain(X0)) ),
inference(resolve,[$cnf( $equal(codomain(antidomain(antidomain(X0))),codomain(antidomain(antidomain(X0)))) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
codomain(antidomain(antidomain(X0))) = codomain(domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_500,refute_0_561]) ).
cnf(refute_0_563,plain,
( codomain(antidomain(antidomain(X0))) != codomain(domain(X0))
| ~ leq(domain(X0),codomain(antidomain(antidomain(X0))))
| leq(domain(X0),codomain(domain(X0))) ),
introduced(tautology,[equality,[$cnf( leq(domain(X0),codomain(antidomain(antidomain(X0)))) ),[1],$fot(codomain(domain(X0)))]]) ).
cnf(refute_0_564,plain,
( ~ leq(domain(X0),codomain(antidomain(antidomain(X0))))
| leq(domain(X0),codomain(domain(X0))) ),
inference(resolve,[$cnf( $equal(codomain(antidomain(antidomain(X0))),codomain(domain(X0))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
leq(domain(X0),codomain(domain(X0))),
inference(resolve,[$cnf( leq(domain(X0),codomain(antidomain(antidomain(X0)))) )],[refute_0_558,refute_0_564]) ).
cnf(refute_0_566,plain,
leq(domain(X_1490),codomain(domain(X_1490))),
inference(subst,[],[refute_0_565:[bind(X0,$fot(X_1490))]]) ).
cnf(refute_0_567,plain,
addition(domain(X_1490),codomain(domain(X_1490))) = codomain(domain(X_1490)),
inference(resolve,[$cnf( leq(domain(X_1490),codomain(domain(X_1490))) )],[refute_0_566,refute_0_475]) ).
cnf(refute_0_568,plain,
addition(domain(skolemFOFtoCNF_X0),codomain(domain(skolemFOFtoCNF_X0))) = codomain(domain(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_567:[bind(X_1490,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_569,plain,
( addition(domain(skolemFOFtoCNF_X0),codomain(domain(skolemFOFtoCNF_X0))) != codomain(domain(skolemFOFtoCNF_X0))
| codomain(domain(skolemFOFtoCNF_X0)) != domain(skolemFOFtoCNF_X0)
| addition(domain(skolemFOFtoCNF_X0),codomain(domain(skolemFOFtoCNF_X0))) = domain(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(domain(skolemFOFtoCNF_X0),codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X0)) ),[0],$fot(codomain(domain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_570,plain,
( codomain(domain(skolemFOFtoCNF_X0)) != domain(skolemFOFtoCNF_X0)
| addition(domain(skolemFOFtoCNF_X0),codomain(domain(skolemFOFtoCNF_X0))) = domain(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),codomain(domain(skolemFOFtoCNF_X0))),codomain(domain(skolemFOFtoCNF_X0))) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
codomain(domain(skolemFOFtoCNF_X0)) != domain(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X0)) )],[refute_0_570,refute_0_473]) ).
cnf(refute_0_572,plain,
coantidomain(X_7) = multiplication(coantidomain(X_7),codomain(coantidomain(X_7))),
inference(subst,[],[refute_0_548:[bind(X_1197,$fot(coantidomain(X_7)))]]) ).
cnf(refute_0_573,plain,
( coantidomain(X_7) != multiplication(coantidomain(X_7),codomain(coantidomain(X_7)))
| codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
| coantidomain(X_7) = multiplication(coantidomain(X_7),coantidomain(codomain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(X_7),multiplication(coantidomain(X_7),codomain(coantidomain(X_7)))) ),[1,1],$fot(coantidomain(codomain(X_7)))]]) ).
cnf(refute_0_574,plain,
( coantidomain(X_7) != multiplication(coantidomain(X_7),codomain(coantidomain(X_7)))
| coantidomain(X_7) = multiplication(coantidomain(X_7),coantidomain(codomain(X_7))) ),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) )],[refute_0_66,refute_0_573]) ).
cnf(refute_0_575,plain,
coantidomain(X_7) = multiplication(coantidomain(X_7),coantidomain(codomain(X_7))),
inference(resolve,[$cnf( $equal(coantidomain(X_7),multiplication(coantidomain(X_7),codomain(coantidomain(X_7)))) )],[refute_0_572,refute_0_574]) ).
cnf(refute_0_576,plain,
multiplication(addition(X_268,X_269),coantidomain(X_269)) = addition(multiplication(X_268,coantidomain(X_269)),multiplication(X_269,coantidomain(X_269))),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_268)),bind(B,$fot(X_269)),bind(C,$fot(coantidomain(X_269)))]]) ).
cnf(refute_0_577,plain,
multiplication(X_269,coantidomain(X_269)) = zero,
inference(subst,[],[refute_0_30:[bind(X0,$fot(X_269))]]) ).
cnf(refute_0_578,plain,
( multiplication(X_269,coantidomain(X_269)) != zero
| multiplication(addition(X_268,X_269),coantidomain(X_269)) != addition(multiplication(X_268,coantidomain(X_269)),multiplication(X_269,coantidomain(X_269)))
| multiplication(addition(X_268,X_269),coantidomain(X_269)) = addition(multiplication(X_268,coantidomain(X_269)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_268,X_269),coantidomain(X_269)),addition(multiplication(X_268,coantidomain(X_269)),multiplication(X_269,coantidomain(X_269)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_579,plain,
( multiplication(addition(X_268,X_269),coantidomain(X_269)) != addition(multiplication(X_268,coantidomain(X_269)),multiplication(X_269,coantidomain(X_269)))
| multiplication(addition(X_268,X_269),coantidomain(X_269)) = addition(multiplication(X_268,coantidomain(X_269)),zero) ),
inference(resolve,[$cnf( $equal(multiplication(X_269,coantidomain(X_269)),zero) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
multiplication(addition(X_268,X_269),coantidomain(X_269)) = addition(multiplication(X_268,coantidomain(X_269)),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,X_269),coantidomain(X_269)),addition(multiplication(X_268,coantidomain(X_269)),multiplication(X_269,coantidomain(X_269)))) )],[refute_0_576,refute_0_579]) ).
cnf(refute_0_581,plain,
addition(multiplication(X_268,coantidomain(X_269)),zero) = multiplication(X_268,coantidomain(X_269)),
inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(X_268,coantidomain(X_269))))]]) ).
cnf(refute_0_582,plain,
( addition(multiplication(X_268,coantidomain(X_269)),zero) != multiplication(X_268,coantidomain(X_269))
| multiplication(addition(X_268,X_269),coantidomain(X_269)) != addition(multiplication(X_268,coantidomain(X_269)),zero)
| multiplication(addition(X_268,X_269),coantidomain(X_269)) = multiplication(X_268,coantidomain(X_269)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_268,X_269),coantidomain(X_269)),addition(multiplication(X_268,coantidomain(X_269)),zero)) ),[1],$fot(multiplication(X_268,coantidomain(X_269)))]]) ).
cnf(refute_0_583,plain,
( multiplication(addition(X_268,X_269),coantidomain(X_269)) != addition(multiplication(X_268,coantidomain(X_269)),zero)
| multiplication(addition(X_268,X_269),coantidomain(X_269)) = multiplication(X_268,coantidomain(X_269)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_268,coantidomain(X_269)),zero),multiplication(X_268,coantidomain(X_269))) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
multiplication(addition(X_268,X_269),coantidomain(X_269)) = multiplication(X_268,coantidomain(X_269)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,X_269),coantidomain(X_269)),addition(multiplication(X_268,coantidomain(X_269)),zero)) )],[refute_0_580,refute_0_583]) ).
cnf(refute_0_585,plain,
multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
inference(subst,[],[refute_0_584:[bind(X_268,$fot(coantidomain(X0))),bind(X_269,$fot(codomain(X0)))]]) ).
cnf(refute_0_586,plain,
( addition(coantidomain(X0),codomain(X0)) != one
| multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
| multiplication(one,coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_587,plain,
( multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
| multiplication(one,coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),codomain(X0)),one) )],[refute_0_55,refute_0_586]) ).
cnf(refute_0_588,plain,
multiplication(one,coantidomain(codomain(X0))) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(X0),codomain(X0)),coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) )],[refute_0_585,refute_0_587]) ).
cnf(refute_0_589,plain,
multiplication(one,coantidomain(codomain(X0))) = coantidomain(codomain(X0)),
inference(subst,[],[refute_0_88:[bind(A,$fot(coantidomain(codomain(X0))))]]) ).
cnf(refute_0_590,plain,
( multiplication(one,coantidomain(codomain(X0))) != coantidomain(codomain(X0))
| multiplication(one,coantidomain(codomain(X0))) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
| coantidomain(codomain(X0)) = multiplication(coantidomain(X0),coantidomain(codomain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) ),[0],$fot(coantidomain(codomain(X0)))]]) ).
cnf(refute_0_591,plain,
( multiplication(one,coantidomain(codomain(X0))) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
| coantidomain(codomain(X0)) = multiplication(coantidomain(X0),coantidomain(codomain(X0))) ),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(codomain(X0))),coantidomain(codomain(X0))) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
coantidomain(codomain(X0)) = multiplication(coantidomain(X0),coantidomain(codomain(X0))),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(codomain(X0))),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) )],[refute_0_588,refute_0_591]) ).
cnf(refute_0_593,plain,
( coantidomain(codomain(X0)) != multiplication(coantidomain(X0),coantidomain(codomain(X0)))
| multiplication(coantidomain(X0),coantidomain(codomain(X0))) = coantidomain(codomain(X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(coantidomain(codomain(X0)))),bind(Y,$fot(multiplication(coantidomain(X0),coantidomain(codomain(X0)))))]]) ).
cnf(refute_0_594,plain,
multiplication(coantidomain(X0),coantidomain(codomain(X0))) = coantidomain(codomain(X0)),
inference(resolve,[$cnf( $equal(coantidomain(codomain(X0)),multiplication(coantidomain(X0),coantidomain(codomain(X0)))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
multiplication(coantidomain(X_7),coantidomain(codomain(X_7))) = coantidomain(codomain(X_7)),
inference(subst,[],[refute_0_594:[bind(X0,$fot(X_7))]]) ).
cnf(refute_0_596,plain,
( coantidomain(X_7) != multiplication(coantidomain(X_7),coantidomain(codomain(X_7)))
| multiplication(coantidomain(X_7),coantidomain(codomain(X_7))) != coantidomain(codomain(X_7))
| coantidomain(X_7) = coantidomain(codomain(X_7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(coantidomain(X_7),coantidomain(codomain(X_7))) ),[0],$fot(multiplication(coantidomain(X_7),coantidomain(codomain(X_7))))]]) ).
cnf(refute_0_597,plain,
( coantidomain(X_7) != multiplication(coantidomain(X_7),coantidomain(codomain(X_7)))
| coantidomain(X_7) = coantidomain(codomain(X_7)) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_7),coantidomain(codomain(X_7))),coantidomain(codomain(X_7))) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
coantidomain(X_7) = coantidomain(codomain(X_7)),
inference(resolve,[$cnf( $equal(coantidomain(X_7),multiplication(coantidomain(X_7),coantidomain(codomain(X_7)))) )],[refute_0_575,refute_0_597]) ).
cnf(refute_0_599,plain,
( coantidomain(X_7) != coantidomain(codomain(X_7))
| coantidomain(codomain(X_7)) = coantidomain(X_7) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(coantidomain(X_7))),bind(Y,$fot(coantidomain(codomain(X_7))))]]) ).
cnf(refute_0_600,plain,
coantidomain(codomain(X_7)) = coantidomain(X_7),
inference(resolve,[$cnf( $equal(coantidomain(X_7),coantidomain(codomain(X_7))) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
( coantidomain(codomain(X_7)) != coantidomain(X_7)
| codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
| codomain(coantidomain(X_7)) = coantidomain(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) ),[1],$fot(coantidomain(X_7))]]) ).
cnf(refute_0_602,plain,
( codomain(coantidomain(X_7)) != coantidomain(codomain(X_7))
| codomain(coantidomain(X_7)) = coantidomain(X_7) ),
inference(resolve,[$cnf( $equal(coantidomain(codomain(X_7)),coantidomain(X_7)) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
codomain(coantidomain(X_7)) = coantidomain(X_7),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_7)),coantidomain(codomain(X_7))) )],[refute_0_66,refute_0_602]) ).
cnf(refute_0_604,plain,
codomain(coantidomain(antidomain(X_2808))) = coantidomain(antidomain(X_2808)),
inference(subst,[],[refute_0_603:[bind(X_7,$fot(antidomain(X_2808)))]]) ).
cnf(refute_0_605,plain,
multiplication(X_140,addition(one,X_142)) = addition(multiplication(X_140,one),multiplication(X_140,X_142)),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_140)),bind(B,$fot(one)),bind(C,$fot(X_142))]]) ).
cnf(refute_0_606,plain,
multiplication(X_140,one) = X_140,
inference(subst,[],[refute_0_13:[bind(A,$fot(X_140))]]) ).
cnf(refute_0_607,plain,
( multiplication(X_140,addition(one,X_142)) != addition(multiplication(X_140,one),multiplication(X_140,X_142))
| multiplication(X_140,one) != X_140
| multiplication(X_140,addition(one,X_142)) = addition(X_140,multiplication(X_140,X_142)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_140,addition(one,X_142)),addition(multiplication(X_140,one),multiplication(X_140,X_142))) ),[1,0],$fot(X_140)]]) ).
cnf(refute_0_608,plain,
( multiplication(X_140,addition(one,X_142)) != addition(multiplication(X_140,one),multiplication(X_140,X_142))
| multiplication(X_140,addition(one,X_142)) = addition(X_140,multiplication(X_140,X_142)) ),
inference(resolve,[$cnf( $equal(multiplication(X_140,one),X_140) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
multiplication(X_140,addition(one,X_142)) = addition(X_140,multiplication(X_140,X_142)),
inference(resolve,[$cnf( $equal(multiplication(X_140,addition(one,X_142)),addition(multiplication(X_140,one),multiplication(X_140,X_142))) )],[refute_0_605,refute_0_608]) ).
cnf(refute_0_610,plain,
multiplication(X_1717,addition(one,multiplication(domain(X_128),one))) = addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))),
inference(subst,[],[refute_0_609:[bind(X_140,$fot(X_1717)),bind(X_142,$fot(multiplication(domain(X_128),one)))]]) ).
cnf(refute_0_611,plain,
multiplication(addition(one,domain(X_128)),X_1071) = addition(X_1071,multiplication(domain(X_128),X_1071)),
inference(subst,[],[refute_0_490:[bind(X_269,$fot(domain(X_128))),bind(X_270,$fot(X_1071))]]) ).
cnf(refute_0_612,plain,
addition(c(X_4),addition(domain(X_4),X_103)) = addition(addition(c(X_4),domain(X_4)),X_103),
inference(subst,[],[refute_0_191:[bind(A,$fot(c(X_4))),bind(B,$fot(domain(X_4))),bind(C,$fot(X_103))]]) ).
cnf(refute_0_613,plain,
addition(antidomain(antidomain(X_4)),domain(antidomain(X_4))) = one,
inference(subst,[],[refute_0_507:[bind(X0,$fot(antidomain(X_4)))]]) ).
cnf(refute_0_614,plain,
domain(antidomain(X_4)) = antidomain(antidomain(antidomain(X_4))),
inference(subst,[],[refute_0_498:[bind(X0,$fot(antidomain(X_4)))]]) ).
cnf(refute_0_615,plain,
domain(X_4) = antidomain(antidomain(X_4)),
inference(subst,[],[refute_0_498:[bind(X0,$fot(X_4))]]) ).
cnf(refute_0_616,plain,
( domain(X_4) != antidomain(antidomain(X_4))
| antidomain(antidomain(X_4)) = domain(X_4) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(domain(X_4))),bind(Y,$fot(antidomain(antidomain(X_4))))]]) ).
cnf(refute_0_617,plain,
antidomain(antidomain(X_4)) = domain(X_4),
inference(resolve,[$cnf( $equal(domain(X_4),antidomain(antidomain(X_4))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
( antidomain(antidomain(X_4)) != domain(X_4)
| domain(antidomain(X_4)) != antidomain(antidomain(antidomain(X_4)))
| domain(antidomain(X_4)) = antidomain(domain(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_4)),antidomain(antidomain(antidomain(X_4)))) ),[1,0],$fot(domain(X_4))]]) ).
cnf(refute_0_619,plain,
( domain(antidomain(X_4)) != antidomain(antidomain(antidomain(X_4)))
| domain(antidomain(X_4)) = antidomain(domain(X_4)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_4)),domain(X_4)) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
domain(antidomain(X_4)) = antidomain(domain(X_4)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_4)),antidomain(antidomain(antidomain(X_4)))) )],[refute_0_614,refute_0_619]) ).
cnf(refute_0_621,plain,
c(X0) = antidomain(domain(X0)),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_622,plain,
( c(X0) != antidomain(domain(X0))
| antidomain(domain(X0)) = c(X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(c(X0))),bind(Y,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_623,plain,
antidomain(domain(X0)) = c(X0),
inference(resolve,[$cnf( $equal(c(X0),antidomain(domain(X0))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
antidomain(domain(X_4)) = c(X_4),
inference(subst,[],[refute_0_623:[bind(X0,$fot(X_4))]]) ).
cnf(refute_0_625,plain,
( antidomain(domain(X_4)) != c(X_4)
| domain(antidomain(X_4)) != antidomain(domain(X_4))
| domain(antidomain(X_4)) = c(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_4)),antidomain(domain(X_4))) ),[1],$fot(c(X_4))]]) ).
cnf(refute_0_626,plain,
( domain(antidomain(X_4)) != antidomain(domain(X_4))
| domain(antidomain(X_4)) = c(X_4) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_4)),c(X_4)) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
domain(antidomain(X_4)) = c(X_4),
inference(resolve,[$cnf( $equal(domain(antidomain(X_4)),antidomain(domain(X_4))) )],[refute_0_620,refute_0_626]) ).
cnf(refute_0_628,plain,
( addition(antidomain(antidomain(X_4)),domain(antidomain(X_4))) != one
| domain(antidomain(X_4)) != c(X_4)
| addition(antidomain(antidomain(X_4)),c(X_4)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_4)),domain(antidomain(X_4))),one) ),[0,1],$fot(c(X_4))]]) ).
cnf(refute_0_629,plain,
( addition(antidomain(antidomain(X_4)),domain(antidomain(X_4))) != one
| addition(antidomain(antidomain(X_4)),c(X_4)) = one ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_4)),c(X_4)) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
addition(antidomain(antidomain(X_4)),c(X_4)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_4)),domain(antidomain(X_4))),one) )],[refute_0_613,refute_0_629]) ).
cnf(refute_0_631,plain,
addition(c(X_4),antidomain(antidomain(X_4))) = addition(c(X_4),antidomain(antidomain(X_4))),
introduced(tautology,[refl,[$fot(addition(c(X_4),antidomain(antidomain(X_4))))]]) ).
cnf(refute_0_632,plain,
( addition(c(X_4),antidomain(antidomain(X_4))) != addition(c(X_4),antidomain(antidomain(X_4)))
| antidomain(antidomain(X_4)) != domain(X_4)
| addition(c(X_4),antidomain(antidomain(X_4))) = addition(c(X_4),domain(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_4),antidomain(antidomain(X_4))),addition(c(X_4),antidomain(antidomain(X_4)))) ),[1,1],$fot(domain(X_4))]]) ).
cnf(refute_0_633,plain,
( antidomain(antidomain(X_4)) != domain(X_4)
| addition(c(X_4),antidomain(antidomain(X_4))) = addition(c(X_4),domain(X_4)) ),
inference(resolve,[$cnf( $equal(addition(c(X_4),antidomain(antidomain(X_4))),addition(c(X_4),antidomain(antidomain(X_4)))) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
addition(c(X_4),antidomain(antidomain(X_4))) = addition(c(X_4),domain(X_4)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_4)),domain(X_4)) )],[refute_0_617,refute_0_633]) ).
cnf(refute_0_635,plain,
addition(antidomain(antidomain(X_4)),c(X_4)) = addition(c(X_4),antidomain(antidomain(X_4))),
inference(subst,[],[refute_0_6:[bind(A,$fot(c(X_4))),bind(B,$fot(antidomain(antidomain(X_4))))]]) ).
cnf(refute_0_636,plain,
( addition(antidomain(antidomain(X_4)),c(X_4)) != addition(c(X_4),antidomain(antidomain(X_4)))
| addition(c(X_4),antidomain(antidomain(X_4))) != addition(c(X_4),domain(X_4))
| addition(antidomain(antidomain(X_4)),c(X_4)) = addition(c(X_4),domain(X_4)) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(addition(antidomain(antidomain(X_4)),c(X_4)))),bind(Y,$fot(addition(c(X_4),antidomain(antidomain(X_4))))),bind(Z,$fot(addition(c(X_4),domain(X_4))))]]) ).
cnf(refute_0_637,plain,
( addition(c(X_4),antidomain(antidomain(X_4))) != addition(c(X_4),domain(X_4))
| addition(antidomain(antidomain(X_4)),c(X_4)) = addition(c(X_4),domain(X_4)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_4)),c(X_4)),addition(c(X_4),antidomain(antidomain(X_4)))) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
addition(antidomain(antidomain(X_4)),c(X_4)) = addition(c(X_4),domain(X_4)),
inference(resolve,[$cnf( $equal(addition(c(X_4),antidomain(antidomain(X_4))),addition(c(X_4),domain(X_4))) )],[refute_0_634,refute_0_637]) ).
cnf(refute_0_639,plain,
( addition(antidomain(antidomain(X_4)),c(X_4)) != addition(c(X_4),domain(X_4))
| addition(antidomain(antidomain(X_4)),c(X_4)) != one
| addition(c(X_4),domain(X_4)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_4)),c(X_4)),one) ),[0],$fot(addition(c(X_4),domain(X_4)))]]) ).
cnf(refute_0_640,plain,
( addition(antidomain(antidomain(X_4)),c(X_4)) != one
| addition(c(X_4),domain(X_4)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_4)),c(X_4)),addition(c(X_4),domain(X_4))) )],[refute_0_638,refute_0_639]) ).
cnf(refute_0_641,plain,
addition(c(X_4),domain(X_4)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_4)),c(X_4)),one) )],[refute_0_630,refute_0_640]) ).
cnf(refute_0_642,plain,
( addition(c(X_4),addition(domain(X_4),X_103)) != addition(addition(c(X_4),domain(X_4)),X_103)
| addition(c(X_4),domain(X_4)) != one
| addition(c(X_4),addition(domain(X_4),X_103)) = addition(one,X_103) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_4),addition(domain(X_4),X_103)),addition(addition(c(X_4),domain(X_4)),X_103)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_643,plain,
( addition(c(X_4),addition(domain(X_4),X_103)) != addition(addition(c(X_4),domain(X_4)),X_103)
| addition(c(X_4),addition(domain(X_4),X_103)) = addition(one,X_103) ),
inference(resolve,[$cnf( $equal(addition(c(X_4),domain(X_4)),one) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
addition(c(X_4),addition(domain(X_4),X_103)) = addition(one,X_103),
inference(resolve,[$cnf( $equal(addition(c(X_4),addition(domain(X_4),X_103)),addition(addition(c(X_4),domain(X_4)),X_103)) )],[refute_0_612,refute_0_643]) ).
cnf(refute_0_645,plain,
addition(c(X_128),addition(domain(X_128),domain(X_128))) = addition(one,domain(X_128)),
inference(subst,[],[refute_0_644:[bind(X_103,$fot(domain(X_128))),bind(X_4,$fot(X_128))]]) ).
cnf(refute_0_646,plain,
addition(domain(X_128),domain(X_128)) = domain(X_128),
inference(subst,[],[refute_0_206:[bind(A,$fot(domain(X_128)))]]) ).
cnf(refute_0_647,plain,
( addition(c(X_128),addition(domain(X_128),domain(X_128))) != addition(one,domain(X_128))
| addition(domain(X_128),domain(X_128)) != domain(X_128)
| addition(c(X_128),domain(X_128)) = addition(one,domain(X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_128),addition(domain(X_128),domain(X_128))),addition(one,domain(X_128))) ),[0,1],$fot(domain(X_128))]]) ).
cnf(refute_0_648,plain,
( addition(c(X_128),addition(domain(X_128),domain(X_128))) != addition(one,domain(X_128))
| addition(c(X_128),domain(X_128)) = addition(one,domain(X_128)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_128),domain(X_128)),domain(X_128)) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
addition(c(X_128),domain(X_128)) = addition(one,domain(X_128)),
inference(resolve,[$cnf( $equal(addition(c(X_128),addition(domain(X_128),domain(X_128))),addition(one,domain(X_128))) )],[refute_0_645,refute_0_648]) ).
cnf(refute_0_650,plain,
addition(c(X_128),domain(X_128)) = one,
inference(subst,[],[refute_0_641:[bind(X_4,$fot(X_128))]]) ).
cnf(refute_0_651,plain,
( addition(c(X_128),domain(X_128)) != addition(one,domain(X_128))
| addition(c(X_128),domain(X_128)) != one
| one = addition(one,domain(X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_128),domain(X_128)),addition(one,domain(X_128))) ),[0],$fot(one)]]) ).
cnf(refute_0_652,plain,
( addition(c(X_128),domain(X_128)) != addition(one,domain(X_128))
| one = addition(one,domain(X_128)) ),
inference(resolve,[$cnf( $equal(addition(c(X_128),domain(X_128)),one) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
one = addition(one,domain(X_128)),
inference(resolve,[$cnf( $equal(addition(c(X_128),domain(X_128)),addition(one,domain(X_128))) )],[refute_0_649,refute_0_652]) ).
cnf(refute_0_654,plain,
( one != addition(one,domain(X_128))
| addition(one,domain(X_128)) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(addition(one,domain(X_128))))]]) ).
cnf(refute_0_655,plain,
addition(one,domain(X_128)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,domain(X_128))) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
( addition(one,domain(X_128)) != one
| multiplication(addition(one,domain(X_128)),X_1071) != addition(X_1071,multiplication(domain(X_128),X_1071))
| multiplication(one,X_1071) = addition(X_1071,multiplication(domain(X_128),X_1071)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X_128)),X_1071),addition(X_1071,multiplication(domain(X_128),X_1071))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_657,plain,
( multiplication(addition(one,domain(X_128)),X_1071) != addition(X_1071,multiplication(domain(X_128),X_1071))
| multiplication(one,X_1071) = addition(X_1071,multiplication(domain(X_128),X_1071)) ),
inference(resolve,[$cnf( $equal(addition(one,domain(X_128)),one) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
multiplication(one,X_1071) = addition(X_1071,multiplication(domain(X_128),X_1071)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_128)),X_1071),addition(X_1071,multiplication(domain(X_128),X_1071))) )],[refute_0_611,refute_0_657]) ).
cnf(refute_0_659,plain,
( multiplication(one,X_1071) != X_1071
| multiplication(one,X_1071) != addition(X_1071,multiplication(domain(X_128),X_1071))
| X_1071 = addition(X_1071,multiplication(domain(X_128),X_1071)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_1071),addition(X_1071,multiplication(domain(X_128),X_1071))) ),[0],$fot(X_1071)]]) ).
cnf(refute_0_660,plain,
( multiplication(one,X_1071) != addition(X_1071,multiplication(domain(X_128),X_1071))
| X_1071 = addition(X_1071,multiplication(domain(X_128),X_1071)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_1071),X_1071) )],[refute_0_521,refute_0_659]) ).
cnf(refute_0_661,plain,
X_1071 = addition(X_1071,multiplication(domain(X_128),X_1071)),
inference(resolve,[$cnf( $equal(multiplication(one,X_1071),addition(X_1071,multiplication(domain(X_128),X_1071))) )],[refute_0_658,refute_0_660]) ).
cnf(refute_0_662,plain,
one = addition(one,multiplication(domain(X_128),one)),
inference(subst,[],[refute_0_661:[bind(X_1071,$fot(one))]]) ).
cnf(refute_0_663,plain,
( one != addition(one,multiplication(domain(X_128),one))
| addition(one,multiplication(domain(X_128),one)) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(addition(one,multiplication(domain(X_128),one))))]]) ).
cnf(refute_0_664,plain,
addition(one,multiplication(domain(X_128),one)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,multiplication(domain(X_128),one))) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
( addition(one,multiplication(domain(X_128),one)) != one
| multiplication(X_1717,addition(one,multiplication(domain(X_128),one))) != addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one)))
| multiplication(X_1717,one) = addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_1717,addition(one,multiplication(domain(X_128),one))),addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_666,plain,
( multiplication(X_1717,addition(one,multiplication(domain(X_128),one))) != addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one)))
| multiplication(X_1717,one) = addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(domain(X_128),one)),one) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
multiplication(X_1717,one) = addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))),
inference(resolve,[$cnf( $equal(multiplication(X_1717,addition(one,multiplication(domain(X_128),one))),addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one)))) )],[refute_0_610,refute_0_666]) ).
cnf(refute_0_668,plain,
multiplication(X_1717,one) = X_1717,
inference(subst,[],[refute_0_13:[bind(A,$fot(X_1717))]]) ).
cnf(refute_0_669,plain,
( multiplication(X_1717,one) != X_1717
| multiplication(X_1717,one) != addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one)))
| X_1717 = addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_1717,one),addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one)))) ),[0],$fot(X_1717)]]) ).
cnf(refute_0_670,plain,
( multiplication(X_1717,one) != addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one)))
| X_1717 = addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))) ),
inference(resolve,[$cnf( $equal(multiplication(X_1717,one),X_1717) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
multiplication(domain(X_128),one) = domain(X_128),
inference(subst,[],[refute_0_13:[bind(A,$fot(domain(X_128)))]]) ).
cnf(refute_0_672,plain,
multiplication(X_1717,multiplication(domain(X_128),one)) = multiplication(X_1717,multiplication(domain(X_128),one)),
introduced(tautology,[refl,[$fot(multiplication(X_1717,multiplication(domain(X_128),one)))]]) ).
cnf(refute_0_673,plain,
( multiplication(X_1717,multiplication(domain(X_128),one)) != multiplication(X_1717,multiplication(domain(X_128),one))
| multiplication(domain(X_128),one) != domain(X_128)
| multiplication(X_1717,multiplication(domain(X_128),one)) = multiplication(X_1717,domain(X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_1717,multiplication(domain(X_128),one)),multiplication(X_1717,multiplication(domain(X_128),one))) ),[1,1],$fot(domain(X_128))]]) ).
cnf(refute_0_674,plain,
( multiplication(domain(X_128),one) != domain(X_128)
| multiplication(X_1717,multiplication(domain(X_128),one)) = multiplication(X_1717,domain(X_128)) ),
inference(resolve,[$cnf( $equal(multiplication(X_1717,multiplication(domain(X_128),one)),multiplication(X_1717,multiplication(domain(X_128),one))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
multiplication(X_1717,multiplication(domain(X_128),one)) = multiplication(X_1717,domain(X_128)),
inference(resolve,[$cnf( $equal(multiplication(domain(X_128),one),domain(X_128)) )],[refute_0_671,refute_0_674]) ).
cnf(refute_0_676,plain,
addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))) = addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))),
introduced(tautology,[refl,[$fot(addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))))]]) ).
cnf(refute_0_677,plain,
( addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))) != addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one)))
| multiplication(X_1717,multiplication(domain(X_128),one)) != multiplication(X_1717,domain(X_128))
| addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))) = addition(X_1717,multiplication(X_1717,domain(X_128))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))),addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one)))) ),[1,1],$fot(multiplication(X_1717,domain(X_128)))]]) ).
cnf(refute_0_678,plain,
( multiplication(X_1717,multiplication(domain(X_128),one)) != multiplication(X_1717,domain(X_128))
| addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))) = addition(X_1717,multiplication(X_1717,domain(X_128))) ),
inference(resolve,[$cnf( $equal(addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))),addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one)))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))) = addition(X_1717,multiplication(X_1717,domain(X_128))),
inference(resolve,[$cnf( $equal(multiplication(X_1717,multiplication(domain(X_128),one)),multiplication(X_1717,domain(X_128))) )],[refute_0_675,refute_0_678]) ).
cnf(refute_0_680,plain,
( X_1717 != addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one)))
| addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))) != addition(X_1717,multiplication(X_1717,domain(X_128)))
| X_1717 = addition(X_1717,multiplication(X_1717,domain(X_128))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_1717,addition(X_1717,multiplication(X_1717,domain(X_128)))) ),[0],$fot(addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))))]]) ).
cnf(refute_0_681,plain,
( X_1717 != addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one)))
| X_1717 = addition(X_1717,multiplication(X_1717,domain(X_128))) ),
inference(resolve,[$cnf( $equal(addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one))),addition(X_1717,multiplication(X_1717,domain(X_128)))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
( multiplication(X_1717,one) != addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one)))
| X_1717 = addition(X_1717,multiplication(X_1717,domain(X_128))) ),
inference(resolve,[$cnf( $equal(X_1717,addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one)))) )],[refute_0_670,refute_0_681]) ).
cnf(refute_0_683,plain,
X_1717 = addition(X_1717,multiplication(X_1717,domain(X_128))),
inference(resolve,[$cnf( $equal(multiplication(X_1717,one),addition(X_1717,multiplication(X_1717,multiplication(domain(X_128),one)))) )],[refute_0_667,refute_0_682]) ).
cnf(refute_0_684,plain,
coantidomain(antidomain(domain(X_128))) = addition(coantidomain(antidomain(domain(X_128))),multiplication(coantidomain(antidomain(domain(X_128))),domain(X_128))),
inference(subst,[],[refute_0_683:[bind(X_1717,$fot(coantidomain(antidomain(domain(X_128)))))]]) ).
cnf(refute_0_685,plain,
multiplication(addition(A,codomain(antidomain(C))),C) = addition(multiplication(A,C),multiplication(codomain(antidomain(C)),C)),
inference(subst,[],[refute_0_26:[bind(B,$fot(codomain(antidomain(C))))]]) ).
cnf(refute_0_686,plain,
multiplication(addition(antidomain(multiplication(X_448,X_449)),antidomain(multiplication(X_448,domain(X_449)))),multiplication(X_448,domain(X_449))) = multiplication(antidomain(multiplication(X_448,X_449)),multiplication(X_448,domain(X_449))),
inference(subst,[],[refute_0_427:[bind(X_268,$fot(antidomain(multiplication(X_448,X_449)))),bind(X_270,$fot(multiplication(X_448,domain(X_449))))]]) ).
cnf(refute_0_687,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_688,plain,
antidomain(antidomain(X1)) = domain(X1),
inference(subst,[],[refute_0_500:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_689,plain,
multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,antidomain(antidomain(X1))),
introduced(tautology,[refl,[$fot(multiplication(X0,antidomain(antidomain(X1))))]]) ).
cnf(refute_0_690,plain,
( antidomain(antidomain(X1)) != domain(X1)
| multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,antidomain(antidomain(X1)))
| multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) ),[1,1],$fot(domain(X1))]]) ).
cnf(refute_0_691,plain,
( antidomain(antidomain(X1)) != domain(X1)
| multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X1)),domain(X1)) )],[refute_0_688,refute_0_691]) ).
cnf(refute_0_693,plain,
antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(X0,antidomain(antidomain(X1)))))]]) ).
cnf(refute_0_694,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_695,plain,
( multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,domain(X1))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,domain(X1))) )],[refute_0_692,refute_0_695]) ).
cnf(refute_0_697,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
introduced(tautology,[refl,[$fot(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))))]]) ).
cnf(refute_0_698,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_699,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( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_696,refute_0_699]) ).
cnf(refute_0_701,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ),
introduced(tautology,[equality,[$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_702,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( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
introduced(tautology,[equality,[$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_704,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( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_696,refute_0_703]) ).
cnf(refute_0_705,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_702,refute_0_704]) ).
cnf(refute_0_706,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_687,refute_0_705]) ).
cnf(refute_0_707,plain,
addition(antidomain(multiplication(X_448,X_449)),antidomain(multiplication(X_448,domain(X_449)))) = antidomain(multiplication(X_448,domain(X_449))),
inference(subst,[],[refute_0_706:[bind(X0,$fot(X_448)),bind(X1,$fot(X_449))]]) ).
cnf(refute_0_708,plain,
( addition(antidomain(multiplication(X_448,X_449)),antidomain(multiplication(X_448,domain(X_449)))) != antidomain(multiplication(X_448,domain(X_449)))
| multiplication(addition(antidomain(multiplication(X_448,X_449)),antidomain(multiplication(X_448,domain(X_449)))),multiplication(X_448,domain(X_449))) != multiplication(antidomain(multiplication(X_448,X_449)),multiplication(X_448,domain(X_449)))
| multiplication(antidomain(multiplication(X_448,domain(X_449))),multiplication(X_448,domain(X_449))) = multiplication(antidomain(multiplication(X_448,X_449)),multiplication(X_448,domain(X_449))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(multiplication(X_448,X_449)),antidomain(multiplication(X_448,domain(X_449)))),multiplication(X_448,domain(X_449))),multiplication(antidomain(multiplication(X_448,X_449)),multiplication(X_448,domain(X_449)))) ),[0,0],$fot(antidomain(multiplication(X_448,domain(X_449))))]]) ).
cnf(refute_0_709,plain,
( multiplication(addition(antidomain(multiplication(X_448,X_449)),antidomain(multiplication(X_448,domain(X_449)))),multiplication(X_448,domain(X_449))) != multiplication(antidomain(multiplication(X_448,X_449)),multiplication(X_448,domain(X_449)))
| multiplication(antidomain(multiplication(X_448,domain(X_449))),multiplication(X_448,domain(X_449))) = multiplication(antidomain(multiplication(X_448,X_449)),multiplication(X_448,domain(X_449))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X_448,X_449)),antidomain(multiplication(X_448,domain(X_449)))),antidomain(multiplication(X_448,domain(X_449)))) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
multiplication(antidomain(multiplication(X_448,domain(X_449))),multiplication(X_448,domain(X_449))) = multiplication(antidomain(multiplication(X_448,X_449)),multiplication(X_448,domain(X_449))),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(multiplication(X_448,X_449)),antidomain(multiplication(X_448,domain(X_449)))),multiplication(X_448,domain(X_449))),multiplication(antidomain(multiplication(X_448,X_449)),multiplication(X_448,domain(X_449)))) )],[refute_0_686,refute_0_709]) ).
cnf(refute_0_711,plain,
multiplication(antidomain(multiplication(X_448,domain(X_449))),multiplication(X_448,domain(X_449))) = zero,
inference(subst,[],[refute_0_399:[bind(X0,$fot(multiplication(X_448,domain(X_449))))]]) ).
cnf(refute_0_712,plain,
( multiplication(antidomain(multiplication(X_448,domain(X_449))),multiplication(X_448,domain(X_449))) != multiplication(antidomain(multiplication(X_448,X_449)),multiplication(X_448,domain(X_449)))
| multiplication(antidomain(multiplication(X_448,domain(X_449))),multiplication(X_448,domain(X_449))) != zero
| zero = multiplication(antidomain(multiplication(X_448,X_449)),multiplication(X_448,domain(X_449))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(X_448,domain(X_449))),multiplication(X_448,domain(X_449))),multiplication(antidomain(multiplication(X_448,X_449)),multiplication(X_448,domain(X_449)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_713,plain,
( multiplication(antidomain(multiplication(X_448,domain(X_449))),multiplication(X_448,domain(X_449))) != multiplication(antidomain(multiplication(X_448,X_449)),multiplication(X_448,domain(X_449)))
| zero = multiplication(antidomain(multiplication(X_448,X_449)),multiplication(X_448,domain(X_449))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_448,domain(X_449))),multiplication(X_448,domain(X_449))),zero) )],[refute_0_711,refute_0_712]) ).
cnf(refute_0_714,plain,
zero = multiplication(antidomain(multiplication(X_448,X_449)),multiplication(X_448,domain(X_449))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_448,domain(X_449))),multiplication(X_448,domain(X_449))),multiplication(antidomain(multiplication(X_448,X_449)),multiplication(X_448,domain(X_449)))) )],[refute_0_710,refute_0_713]) ).
cnf(refute_0_715,plain,
zero = multiplication(antidomain(multiplication(X_546,coantidomain(X_546))),multiplication(X_546,domain(coantidomain(X_546)))),
inference(subst,[],[refute_0_714:[bind(X_448,$fot(X_546)),bind(X_449,$fot(coantidomain(X_546)))]]) ).
cnf(refute_0_716,plain,
multiplication(X_546,coantidomain(X_546)) = zero,
inference(subst,[],[refute_0_30:[bind(X0,$fot(X_546))]]) ).
cnf(refute_0_717,plain,
( multiplication(X_546,coantidomain(X_546)) != zero
| zero != multiplication(antidomain(multiplication(X_546,coantidomain(X_546))),multiplication(X_546,domain(coantidomain(X_546))))
| zero = multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(antidomain(multiplication(X_546,coantidomain(X_546))),multiplication(X_546,domain(coantidomain(X_546))))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_718,plain,
( zero != multiplication(antidomain(multiplication(X_546,coantidomain(X_546))),multiplication(X_546,domain(coantidomain(X_546))))
| zero = multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))) ),
inference(resolve,[$cnf( $equal(multiplication(X_546,coantidomain(X_546)),zero) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
zero = multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))),
inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(multiplication(X_546,coantidomain(X_546))),multiplication(X_546,domain(coantidomain(X_546))))) )],[refute_0_715,refute_0_718]) ).
cnf(refute_0_720,plain,
multiplication(one,multiplication(X_546,domain(coantidomain(X_546)))) = multiplication(X_546,domain(coantidomain(X_546))),
inference(subst,[],[refute_0_88:[bind(A,$fot(multiplication(X_546,domain(coantidomain(X_546)))))]]) ).
cnf(refute_0_721,plain,
addition(zero,antidomain(zero)) = addition(antidomain(zero),zero),
inference(subst,[],[refute_0_1:[bind(A,$fot(zero)),bind(B,$fot(antidomain(zero)))]]) ).
cnf(refute_0_722,plain,
addition(antidomain(one),domain(one)) = one,
inference(subst,[],[refute_0_507:[bind(X0,$fot(one))]]) ).
cnf(refute_0_723,plain,
domain(one) = antidomain(antidomain(one)),
inference(subst,[],[refute_0_498:[bind(X0,$fot(one))]]) ).
cnf(refute_0_724,plain,
multiplication(antidomain(one),one) = antidomain(one),
inference(subst,[],[refute_0_13:[bind(A,$fot(antidomain(one)))]]) ).
cnf(refute_0_725,plain,
multiplication(antidomain(one),one) = zero,
inference(subst,[],[refute_0_399:[bind(X0,$fot(one))]]) ).
cnf(refute_0_726,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_727,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| zero = antidomain(one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),zero) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
zero = antidomain(one),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) )],[refute_0_724,refute_0_727]) ).
cnf(refute_0_729,plain,
( zero != antidomain(one)
| antidomain(one) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(antidomain(one)))]]) ).
cnf(refute_0_730,plain,
antidomain(one) = zero,
inference(resolve,[$cnf( $equal(zero,antidomain(one)) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
( antidomain(one) != zero
| domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(domain(one),antidomain(antidomain(one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_732,plain,
( domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_730,refute_0_731]) ).
cnf(refute_0_733,plain,
domain(one) = antidomain(zero),
inference(resolve,[$cnf( $equal(domain(one),antidomain(antidomain(one))) )],[refute_0_723,refute_0_732]) ).
cnf(refute_0_734,plain,
( addition(antidomain(one),domain(one)) != one
| domain(one) != antidomain(zero)
| addition(antidomain(one),antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),domain(one)),one) ),[0,1],$fot(antidomain(zero))]]) ).
cnf(refute_0_735,plain,
( addition(antidomain(one),domain(one)) != one
| addition(antidomain(one),antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_733,refute_0_734]) ).
cnf(refute_0_736,plain,
addition(antidomain(one),antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(one)),one) )],[refute_0_722,refute_0_735]) ).
cnf(refute_0_737,plain,
addition(antidomain(one),antidomain(zero)) = addition(antidomain(one),antidomain(zero)),
introduced(tautology,[refl,[$fot(addition(antidomain(one),antidomain(zero)))]]) ).
cnf(refute_0_738,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_739,plain,
( antidomain(one) != zero
| addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(antidomain(one),antidomain(zero))) )],[refute_0_737,refute_0_738]) ).
cnf(refute_0_740,plain,
addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_730,refute_0_739]) ).
cnf(refute_0_741,plain,
( addition(antidomain(one),antidomain(zero)) != addition(zero,antidomain(zero))
| addition(antidomain(one),antidomain(zero)) != one
| addition(zero,antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) ),[0],$fot(addition(zero,antidomain(zero)))]]) ).
cnf(refute_0_742,plain,
( addition(antidomain(one),antidomain(zero)) != one
| addition(zero,antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(zero,antidomain(zero))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
addition(zero,antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) )],[refute_0_736,refute_0_742]) ).
cnf(refute_0_744,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| addition(zero,antidomain(zero)) != one
| one = addition(antidomain(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) ),[0],$fot(one)]]) ).
cnf(refute_0_745,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| one = addition(antidomain(zero),zero) ),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),one) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
one = addition(antidomain(zero),zero),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) )],[refute_0_721,refute_0_745]) ).
cnf(refute_0_747,plain,
addition(antidomain(zero),zero) = antidomain(zero),
inference(subst,[],[refute_0_35:[bind(A,$fot(antidomain(zero)))]]) ).
cnf(refute_0_748,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_749,plain,
( one != addition(antidomain(zero),zero)
| one = antidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),zero),antidomain(zero)) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
one = antidomain(zero),
inference(resolve,[$cnf( $equal(one,addition(antidomain(zero),zero)) )],[refute_0_746,refute_0_749]) ).
cnf(refute_0_751,plain,
( one != antidomain(zero)
| antidomain(zero) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(antidomain(zero)))]]) ).
cnf(refute_0_752,plain,
antidomain(zero) = one,
inference(resolve,[$cnf( $equal(one,antidomain(zero)) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))) = multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))))]]) ).
cnf(refute_0_754,plain,
( antidomain(zero) != one
| multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))) != multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546))))
| multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))) = multiplication(one,multiplication(X_546,domain(coantidomain(X_546)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))),multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_755,plain,
( antidomain(zero) != one
| multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))) = multiplication(one,multiplication(X_546,domain(coantidomain(X_546)))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))),multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546))))) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))) = multiplication(one,multiplication(X_546,domain(coantidomain(X_546)))),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_752,refute_0_755]) ).
cnf(refute_0_757,plain,
( multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))) != multiplication(one,multiplication(X_546,domain(coantidomain(X_546))))
| multiplication(one,multiplication(X_546,domain(coantidomain(X_546)))) != multiplication(X_546,domain(coantidomain(X_546)))
| multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))) = multiplication(X_546,domain(coantidomain(X_546))) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))))),bind(Y,$fot(multiplication(one,multiplication(X_546,domain(coantidomain(X_546)))))),bind(Z,$fot(multiplication(X_546,domain(coantidomain(X_546)))))]]) ).
cnf(refute_0_758,plain,
( multiplication(one,multiplication(X_546,domain(coantidomain(X_546)))) != multiplication(X_546,domain(coantidomain(X_546)))
| multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))) = multiplication(X_546,domain(coantidomain(X_546))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))),multiplication(one,multiplication(X_546,domain(coantidomain(X_546))))) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))) = multiplication(X_546,domain(coantidomain(X_546))),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(X_546,domain(coantidomain(X_546)))),multiplication(X_546,domain(coantidomain(X_546)))) )],[refute_0_720,refute_0_758]) ).
cnf(refute_0_760,plain,
( multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))) != multiplication(X_546,domain(coantidomain(X_546)))
| zero != multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546))))
| zero = multiplication(X_546,domain(coantidomain(X_546))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546))))) ),[1],$fot(multiplication(X_546,domain(coantidomain(X_546))))]]) ).
cnf(refute_0_761,plain,
( zero != multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546))))
| zero = multiplication(X_546,domain(coantidomain(X_546))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546)))),multiplication(X_546,domain(coantidomain(X_546)))) )],[refute_0_759,refute_0_760]) ).
cnf(refute_0_762,plain,
zero = multiplication(X_546,domain(coantidomain(X_546))),
inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(zero),multiplication(X_546,domain(coantidomain(X_546))))) )],[refute_0_719,refute_0_761]) ).
cnf(refute_0_763,plain,
zero = multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(coantidomain(multiplication(codomain(antidomain(X_862)),X_862)))),
inference(subst,[],[refute_0_762:[bind(X_546,$fot(multiplication(codomain(antidomain(X_862)),X_862)))]]) ).
cnf(refute_0_764,plain,
addition(coantidomain(multiplication(antidomain(X_861),X_861)),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) = coantidomain(multiplication(codomain(antidomain(X_861)),X_861)),
inference(subst,[],[refute_0_122:[bind(X0,$fot(antidomain(X_861))),bind(X1,$fot(X_861))]]) ).
cnf(refute_0_765,plain,
multiplication(antidomain(X_861),X_861) = zero,
inference(subst,[],[refute_0_399:[bind(X0,$fot(X_861))]]) ).
cnf(refute_0_766,plain,
( addition(coantidomain(multiplication(antidomain(X_861),X_861)),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) != coantidomain(multiplication(codomain(antidomain(X_861)),X_861))
| multiplication(antidomain(X_861),X_861) != zero
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) = coantidomain(multiplication(codomain(antidomain(X_861)),X_861)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(antidomain(X_861),X_861)),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_767,plain,
( addition(coantidomain(multiplication(antidomain(X_861),X_861)),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) != coantidomain(multiplication(codomain(antidomain(X_861)),X_861))
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) = coantidomain(multiplication(codomain(antidomain(X_861)),X_861)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_861),X_861),zero) )],[refute_0_765,refute_0_766]) ).
cnf(refute_0_768,plain,
addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) = coantidomain(multiplication(codomain(antidomain(X_861)),X_861)),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(antidomain(X_861),X_861)),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) )],[refute_0_764,refute_0_767]) ).
cnf(refute_0_769,plain,
addition(one,coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) = one,
inference(subst,[],[refute_0_235:[bind(X_7,$fot(multiplication(codomain(antidomain(X_861)),X_861)))]]) ).
cnf(refute_0_770,plain,
addition(zero,coantidomain(zero)) = addition(coantidomain(zero),zero),
inference(subst,[],[refute_0_1:[bind(A,$fot(zero)),bind(B,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_771,plain,
addition(coantidomain(one),codomain(one)) = one,
inference(subst,[],[refute_0_55:[bind(X0,$fot(one))]]) ).
cnf(refute_0_772,plain,
multiplication(one,coantidomain(one)) = zero,
inference(subst,[],[refute_0_30:[bind(X0,$fot(one))]]) ).
cnf(refute_0_773,plain,
multiplication(one,coantidomain(one)) = coantidomain(one),
inference(subst,[],[refute_0_88:[bind(A,$fot(coantidomain(one)))]]) ).
cnf(refute_0_774,plain,
( multiplication(one,coantidomain(one)) != coantidomain(one)
| multiplication(one,coantidomain(one)) != zero
| coantidomain(one) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,coantidomain(one)),zero) ),[0],$fot(coantidomain(one))]]) ).
cnf(refute_0_775,plain,
( multiplication(one,coantidomain(one)) != zero
| coantidomain(one) = zero ),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(one)),coantidomain(one)) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
coantidomain(one) = zero,
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(one)),zero) )],[refute_0_772,refute_0_775]) ).
cnf(refute_0_777,plain,
( addition(coantidomain(one),codomain(one)) != one
| coantidomain(one) != zero
| addition(zero,codomain(one)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),codomain(one)),one) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_778,plain,
( addition(coantidomain(one),codomain(one)) != one
| addition(zero,codomain(one)) = one ),
inference(resolve,[$cnf( $equal(coantidomain(one),zero) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
addition(zero,codomain(one)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(one),codomain(one)),one) )],[refute_0_771,refute_0_778]) ).
cnf(refute_0_780,plain,
codomain(one) = coantidomain(coantidomain(one)),
inference(subst,[],[refute_0_46:[bind(X0,$fot(one))]]) ).
cnf(refute_0_781,plain,
( coantidomain(one) != zero
| codomain(one) != coantidomain(coantidomain(one))
| codomain(one) = coantidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(one),coantidomain(coantidomain(one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_782,plain,
( codomain(one) != coantidomain(coantidomain(one))
| codomain(one) = coantidomain(zero) ),
inference(resolve,[$cnf( $equal(coantidomain(one),zero) )],[refute_0_776,refute_0_781]) ).
cnf(refute_0_783,plain,
codomain(one) = coantidomain(zero),
inference(resolve,[$cnf( $equal(codomain(one),coantidomain(coantidomain(one))) )],[refute_0_780,refute_0_782]) ).
cnf(refute_0_784,plain,
addition(zero,codomain(one)) = addition(zero,codomain(one)),
introduced(tautology,[refl,[$fot(addition(zero,codomain(one)))]]) ).
cnf(refute_0_785,plain,
( addition(zero,codomain(one)) != addition(zero,codomain(one))
| codomain(one) != coantidomain(zero)
| addition(zero,codomain(one)) = addition(zero,coantidomain(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,codomain(one)),addition(zero,codomain(one))) ),[1,1],$fot(coantidomain(zero))]]) ).
cnf(refute_0_786,plain,
( codomain(one) != coantidomain(zero)
| addition(zero,codomain(one)) = addition(zero,coantidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(zero,codomain(one)),addition(zero,codomain(one))) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
addition(zero,codomain(one)) = addition(zero,coantidomain(zero)),
inference(resolve,[$cnf( $equal(codomain(one),coantidomain(zero)) )],[refute_0_783,refute_0_786]) ).
cnf(refute_0_788,plain,
( addition(zero,codomain(one)) != addition(zero,coantidomain(zero))
| addition(zero,codomain(one)) != one
| addition(zero,coantidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,codomain(one)),one) ),[0],$fot(addition(zero,coantidomain(zero)))]]) ).
cnf(refute_0_789,plain,
( addition(zero,codomain(one)) != one
| addition(zero,coantidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(addition(zero,codomain(one)),addition(zero,coantidomain(zero))) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
addition(zero,coantidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(zero,codomain(one)),one) )],[refute_0_779,refute_0_789]) ).
cnf(refute_0_791,plain,
( addition(zero,coantidomain(zero)) != addition(coantidomain(zero),zero)
| addition(zero,coantidomain(zero)) != one
| one = addition(coantidomain(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,coantidomain(zero)),addition(coantidomain(zero),zero)) ),[0],$fot(one)]]) ).
cnf(refute_0_792,plain,
( addition(zero,coantidomain(zero)) != addition(coantidomain(zero),zero)
| one = addition(coantidomain(zero),zero) ),
inference(resolve,[$cnf( $equal(addition(zero,coantidomain(zero)),one) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
one = addition(coantidomain(zero),zero),
inference(resolve,[$cnf( $equal(addition(zero,coantidomain(zero)),addition(coantidomain(zero),zero)) )],[refute_0_770,refute_0_792]) ).
cnf(refute_0_794,plain,
addition(coantidomain(zero),zero) = coantidomain(zero),
inference(subst,[],[refute_0_35:[bind(A,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_795,plain,
( addition(coantidomain(zero),zero) != coantidomain(zero)
| one != addition(coantidomain(zero),zero)
| one = coantidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(coantidomain(zero),zero)) ),[1],$fot(coantidomain(zero))]]) ).
cnf(refute_0_796,plain,
( one != addition(coantidomain(zero),zero)
| one = coantidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),zero),coantidomain(zero)) )],[refute_0_794,refute_0_795]) ).
cnf(refute_0_797,plain,
one = coantidomain(zero),
inference(resolve,[$cnf( $equal(one,addition(coantidomain(zero),zero)) )],[refute_0_793,refute_0_796]) ).
cnf(refute_0_798,plain,
( one != coantidomain(zero)
| coantidomain(zero) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_799,plain,
coantidomain(zero) = one,
inference(resolve,[$cnf( $equal(one,coantidomain(zero)) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) = addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))),
introduced(tautology,[refl,[$fot(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))))]]) ).
cnf(refute_0_801,plain,
( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) != addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861)))
| coantidomain(zero) != one
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) = addition(one,coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))),addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_802,plain,
( coantidomain(zero) != one
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) = addition(one,coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))),addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861)))) )],[refute_0_800,refute_0_801]) ).
cnf(refute_0_803,plain,
addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) = addition(one,coantidomain(multiplication(codomain(antidomain(X_861)),X_861))),
inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_799,refute_0_802]) ).
cnf(refute_0_804,plain,
( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) != addition(one,coantidomain(multiplication(codomain(antidomain(X_861)),X_861)))
| addition(one,coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) != one
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) = one ),
inference(subst,[],[refute_0_139:[bind(X,$fot(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))))),bind(Y,$fot(addition(one,coantidomain(multiplication(codomain(antidomain(X_861)),X_861))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_805,plain,
( addition(one,coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) != one
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))),addition(one,coantidomain(multiplication(codomain(antidomain(X_861)),X_861)))) )],[refute_0_803,refute_0_804]) ).
cnf(refute_0_806,plain,
addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) = one,
inference(resolve,[$cnf( $equal(addition(one,coantidomain(multiplication(codomain(antidomain(X_861)),X_861))),one) )],[refute_0_769,refute_0_805]) ).
cnf(refute_0_807,plain,
( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) != coantidomain(multiplication(codomain(antidomain(X_861)),X_861))
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) != one
| one = coantidomain(multiplication(codomain(antidomain(X_861)),X_861)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) ),[0],$fot(one)]]) ).
cnf(refute_0_808,plain,
( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) != coantidomain(multiplication(codomain(antidomain(X_861)),X_861))
| one = coantidomain(multiplication(codomain(antidomain(X_861)),X_861)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))),one) )],[refute_0_806,refute_0_807]) ).
cnf(refute_0_809,plain,
one = coantidomain(multiplication(codomain(antidomain(X_861)),X_861)),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))),coantidomain(multiplication(codomain(antidomain(X_861)),X_861))) )],[refute_0_768,refute_0_808]) ).
cnf(refute_0_810,plain,
one = coantidomain(multiplication(codomain(antidomain(X_862)),X_862)),
inference(subst,[],[refute_0_809:[bind(X_861,$fot(X_862))]]) ).
cnf(refute_0_811,plain,
( one != coantidomain(multiplication(codomain(antidomain(X_862)),X_862))
| coantidomain(multiplication(codomain(antidomain(X_862)),X_862)) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(coantidomain(multiplication(codomain(antidomain(X_862)),X_862))))]]) ).
cnf(refute_0_812,plain,
coantidomain(multiplication(codomain(antidomain(X_862)),X_862)) = one,
inference(resolve,[$cnf( $equal(one,coantidomain(multiplication(codomain(antidomain(X_862)),X_862))) )],[refute_0_810,refute_0_811]) ).
cnf(refute_0_813,plain,
( coantidomain(multiplication(codomain(antidomain(X_862)),X_862)) != one
| zero != multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(coantidomain(multiplication(codomain(antidomain(X_862)),X_862))))
| zero = multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(one)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(coantidomain(multiplication(codomain(antidomain(X_862)),X_862))))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_814,plain,
( zero != multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(coantidomain(multiplication(codomain(antidomain(X_862)),X_862))))
| zero = multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(one)) ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(antidomain(X_862)),X_862)),one) )],[refute_0_812,refute_0_813]) ).
cnf(refute_0_815,plain,
zero = multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(one)),
inference(resolve,[$cnf( $equal(zero,multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(coantidomain(multiplication(codomain(antidomain(X_862)),X_862))))) )],[refute_0_763,refute_0_814]) ).
cnf(refute_0_816,plain,
multiplication(X_862,one) = X_862,
inference(subst,[],[refute_0_13:[bind(A,$fot(X_862))]]) ).
cnf(refute_0_817,plain,
( antidomain(zero) != one
| domain(one) != antidomain(zero)
| domain(one) = one ),
introduced(tautology,[equality,[$cnf( $equal(domain(one),antidomain(zero)) ),[1],$fot(one)]]) ).
cnf(refute_0_818,plain,
( domain(one) != antidomain(zero)
| domain(one) = one ),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_752,refute_0_817]) ).
cnf(refute_0_819,plain,
domain(one) = one,
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_733,refute_0_818]) ).
cnf(refute_0_820,plain,
multiplication(X_862,domain(one)) = multiplication(X_862,domain(one)),
introduced(tautology,[refl,[$fot(multiplication(X_862,domain(one)))]]) ).
cnf(refute_0_821,plain,
( domain(one) != one
| multiplication(X_862,domain(one)) != multiplication(X_862,domain(one))
| multiplication(X_862,domain(one)) = multiplication(X_862,one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_862,domain(one)),multiplication(X_862,domain(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_822,plain,
( domain(one) != one
| multiplication(X_862,domain(one)) = multiplication(X_862,one) ),
inference(resolve,[$cnf( $equal(multiplication(X_862,domain(one)),multiplication(X_862,domain(one))) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
multiplication(X_862,domain(one)) = multiplication(X_862,one),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_819,refute_0_822]) ).
cnf(refute_0_824,plain,
( multiplication(X_862,domain(one)) != multiplication(X_862,one)
| multiplication(X_862,one) != X_862
| multiplication(X_862,domain(one)) = X_862 ),
inference(subst,[],[refute_0_139:[bind(X,$fot(multiplication(X_862,domain(one)))),bind(Y,$fot(multiplication(X_862,one))),bind(Z,$fot(X_862))]]) ).
cnf(refute_0_825,plain,
( multiplication(X_862,one) != X_862
| multiplication(X_862,domain(one)) = X_862 ),
inference(resolve,[$cnf( $equal(multiplication(X_862,domain(one)),multiplication(X_862,one)) )],[refute_0_823,refute_0_824]) ).
cnf(refute_0_826,plain,
multiplication(X_862,domain(one)) = X_862,
inference(resolve,[$cnf( $equal(multiplication(X_862,one),X_862) )],[refute_0_816,refute_0_825]) ).
cnf(refute_0_827,plain,
multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one))) = multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one))),
introduced(tautology,[refl,[$fot(multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one))))]]) ).
cnf(refute_0_828,plain,
( multiplication(X_862,domain(one)) != X_862
| multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one))) != multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one)))
| multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one))) = multiplication(codomain(antidomain(X_862)),X_862) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one))),multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one)))) ),[1,1],$fot(X_862)]]) ).
cnf(refute_0_829,plain,
( multiplication(X_862,domain(one)) != X_862
| multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one))) = multiplication(codomain(antidomain(X_862)),X_862) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one))),multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one)))) )],[refute_0_827,refute_0_828]) ).
cnf(refute_0_830,plain,
multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one))) = multiplication(codomain(antidomain(X_862)),X_862),
inference(resolve,[$cnf( $equal(multiplication(X_862,domain(one)),X_862) )],[refute_0_826,refute_0_829]) ).
cnf(refute_0_831,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_832,plain,
( multiplication(A,multiplication(B,C)) != multiplication(multiplication(A,B),C)
| multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(A,multiplication(B,C)))),bind(Y,$fot(multiplication(multiplication(A,B),C)))]]) ).
cnf(refute_0_833,plain,
multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,multiplication(B,C)),multiplication(multiplication(A,B),C)) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(one)) = multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one))),
inference(subst,[],[refute_0_833:[bind(A,$fot(codomain(antidomain(X_862)))),bind(B,$fot(X_862)),bind(C,$fot(domain(one)))]]) ).
cnf(refute_0_835,plain,
( multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one))) != multiplication(codomain(antidomain(X_862)),X_862)
| multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(one)) != multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one)))
| multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(one)) = multiplication(codomain(antidomain(X_862)),X_862) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(one)))),bind(Y,$fot(multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one))))),bind(Z,$fot(multiplication(codomain(antidomain(X_862)),X_862)))]]) ).
cnf(refute_0_836,plain,
( multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one))) != multiplication(codomain(antidomain(X_862)),X_862)
| multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(one)) = multiplication(codomain(antidomain(X_862)),X_862) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(one)),multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one)))) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(one)) = multiplication(codomain(antidomain(X_862)),X_862),
inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(X_862)),multiplication(X_862,domain(one))),multiplication(codomain(antidomain(X_862)),X_862)) )],[refute_0_830,refute_0_836]) ).
cnf(refute_0_838,plain,
( multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(one)) != multiplication(codomain(antidomain(X_862)),X_862)
| zero != multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(one))
| zero = multiplication(codomain(antidomain(X_862)),X_862) ),
introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(one))) ),[1],$fot(multiplication(codomain(antidomain(X_862)),X_862))]]) ).
cnf(refute_0_839,plain,
( zero != multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(one))
| zero = multiplication(codomain(antidomain(X_862)),X_862) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(one)),multiplication(codomain(antidomain(X_862)),X_862)) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
zero = multiplication(codomain(antidomain(X_862)),X_862),
inference(resolve,[$cnf( $equal(zero,multiplication(multiplication(codomain(antidomain(X_862)),X_862),domain(one))) )],[refute_0_815,refute_0_839]) ).
cnf(refute_0_841,plain,
zero = multiplication(codomain(antidomain(C)),C),
inference(subst,[],[refute_0_840:[bind(X_862,$fot(C))]]) ).
cnf(refute_0_842,plain,
( zero != multiplication(codomain(antidomain(C)),C)
| multiplication(codomain(antidomain(C)),C) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(codomain(antidomain(C)),C)))]]) ).
cnf(refute_0_843,plain,
multiplication(codomain(antidomain(C)),C) = zero,
inference(resolve,[$cnf( $equal(zero,multiplication(codomain(antidomain(C)),C)) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
( multiplication(addition(A,codomain(antidomain(C))),C) != addition(multiplication(A,C),multiplication(codomain(antidomain(C)),C))
| multiplication(codomain(antidomain(C)),C) != zero
| multiplication(addition(A,codomain(antidomain(C))),C) = addition(multiplication(A,C),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,codomain(antidomain(C))),C),addition(multiplication(A,C),multiplication(codomain(antidomain(C)),C))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_845,plain,
( multiplication(addition(A,codomain(antidomain(C))),C) != addition(multiplication(A,C),multiplication(codomain(antidomain(C)),C))
| multiplication(addition(A,codomain(antidomain(C))),C) = addition(multiplication(A,C),zero) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(C)),C),zero) )],[refute_0_843,refute_0_844]) ).
cnf(refute_0_846,plain,
multiplication(addition(A,codomain(antidomain(C))),C) = addition(multiplication(A,C),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(A,codomain(antidomain(C))),C),addition(multiplication(A,C),multiplication(codomain(antidomain(C)),C))) )],[refute_0_685,refute_0_845]) ).
cnf(refute_0_847,plain,
addition(multiplication(A,C),zero) = multiplication(A,C),
inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(A,C)))]]) ).
cnf(refute_0_848,plain,
( addition(multiplication(A,C),zero) != multiplication(A,C)
| multiplication(addition(A,codomain(antidomain(C))),C) != addition(multiplication(A,C),zero)
| multiplication(addition(A,codomain(antidomain(C))),C) = multiplication(A,C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,codomain(antidomain(C))),C),addition(multiplication(A,C),zero)) ),[1],$fot(multiplication(A,C))]]) ).
cnf(refute_0_849,plain,
( multiplication(addition(A,codomain(antidomain(C))),C) != addition(multiplication(A,C),zero)
| multiplication(addition(A,codomain(antidomain(C))),C) = multiplication(A,C) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,C),zero),multiplication(A,C)) )],[refute_0_847,refute_0_848]) ).
cnf(refute_0_850,plain,
multiplication(addition(A,codomain(antidomain(C))),C) = multiplication(A,C),
inference(resolve,[$cnf( $equal(multiplication(addition(A,codomain(antidomain(C))),C),addition(multiplication(A,C),zero)) )],[refute_0_846,refute_0_849]) ).
cnf(refute_0_851,plain,
multiplication(addition(coantidomain(antidomain(X_2806)),codomain(antidomain(X_2806))),X_2806) = multiplication(coantidomain(antidomain(X_2806)),X_2806),
inference(subst,[],[refute_0_850:[bind(A,$fot(coantidomain(antidomain(X_2806)))),bind(C,$fot(X_2806))]]) ).
cnf(refute_0_852,plain,
addition(coantidomain(antidomain(X_2806)),codomain(antidomain(X_2806))) = one,
inference(subst,[],[refute_0_55:[bind(X0,$fot(antidomain(X_2806)))]]) ).
cnf(refute_0_853,plain,
( addition(coantidomain(antidomain(X_2806)),codomain(antidomain(X_2806))) != one
| multiplication(addition(coantidomain(antidomain(X_2806)),codomain(antidomain(X_2806))),X_2806) != multiplication(coantidomain(antidomain(X_2806)),X_2806)
| multiplication(one,X_2806) = multiplication(coantidomain(antidomain(X_2806)),X_2806) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(coantidomain(antidomain(X_2806)),codomain(antidomain(X_2806))),X_2806),multiplication(coantidomain(antidomain(X_2806)),X_2806)) ),[0,0],$fot(one)]]) ).
cnf(refute_0_854,plain,
( multiplication(addition(coantidomain(antidomain(X_2806)),codomain(antidomain(X_2806))),X_2806) != multiplication(coantidomain(antidomain(X_2806)),X_2806)
| multiplication(one,X_2806) = multiplication(coantidomain(antidomain(X_2806)),X_2806) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(antidomain(X_2806)),codomain(antidomain(X_2806))),one) )],[refute_0_852,refute_0_853]) ).
cnf(refute_0_855,plain,
multiplication(one,X_2806) = multiplication(coantidomain(antidomain(X_2806)),X_2806),
inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(antidomain(X_2806)),codomain(antidomain(X_2806))),X_2806),multiplication(coantidomain(antidomain(X_2806)),X_2806)) )],[refute_0_851,refute_0_854]) ).
cnf(refute_0_856,plain,
multiplication(one,X_2806) = X_2806,
inference(subst,[],[refute_0_88:[bind(A,$fot(X_2806))]]) ).
cnf(refute_0_857,plain,
( multiplication(one,X_2806) != X_2806
| multiplication(one,X_2806) != multiplication(coantidomain(antidomain(X_2806)),X_2806)
| X_2806 = multiplication(coantidomain(antidomain(X_2806)),X_2806) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_2806),multiplication(coantidomain(antidomain(X_2806)),X_2806)) ),[0],$fot(X_2806)]]) ).
cnf(refute_0_858,plain,
( multiplication(one,X_2806) != multiplication(coantidomain(antidomain(X_2806)),X_2806)
| X_2806 = multiplication(coantidomain(antidomain(X_2806)),X_2806) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_2806),X_2806) )],[refute_0_856,refute_0_857]) ).
cnf(refute_0_859,plain,
X_2806 = multiplication(coantidomain(antidomain(X_2806)),X_2806),
inference(resolve,[$cnf( $equal(multiplication(one,X_2806),multiplication(coantidomain(antidomain(X_2806)),X_2806)) )],[refute_0_855,refute_0_858]) ).
cnf(refute_0_860,plain,
domain(X_128) = multiplication(coantidomain(antidomain(domain(X_128))),domain(X_128)),
inference(subst,[],[refute_0_859:[bind(X_2806,$fot(domain(X_128)))]]) ).
cnf(refute_0_861,plain,
( domain(X_128) != multiplication(coantidomain(antidomain(domain(X_128))),domain(X_128))
| multiplication(coantidomain(antidomain(domain(X_128))),domain(X_128)) = domain(X_128) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(domain(X_128))),bind(Y,$fot(multiplication(coantidomain(antidomain(domain(X_128))),domain(X_128))))]]) ).
cnf(refute_0_862,plain,
multiplication(coantidomain(antidomain(domain(X_128))),domain(X_128)) = domain(X_128),
inference(resolve,[$cnf( $equal(domain(X_128),multiplication(coantidomain(antidomain(domain(X_128))),domain(X_128))) )],[refute_0_860,refute_0_861]) ).
cnf(refute_0_863,plain,
( coantidomain(antidomain(domain(X_128))) != addition(coantidomain(antidomain(domain(X_128))),multiplication(coantidomain(antidomain(domain(X_128))),domain(X_128)))
| multiplication(coantidomain(antidomain(domain(X_128))),domain(X_128)) != domain(X_128)
| coantidomain(antidomain(domain(X_128))) = addition(coantidomain(antidomain(domain(X_128))),domain(X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(antidomain(domain(X_128))),addition(coantidomain(antidomain(domain(X_128))),multiplication(coantidomain(antidomain(domain(X_128))),domain(X_128)))) ),[1,1],$fot(domain(X_128))]]) ).
cnf(refute_0_864,plain,
( coantidomain(antidomain(domain(X_128))) != addition(coantidomain(antidomain(domain(X_128))),multiplication(coantidomain(antidomain(domain(X_128))),domain(X_128)))
| coantidomain(antidomain(domain(X_128))) = addition(coantidomain(antidomain(domain(X_128))),domain(X_128)) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(antidomain(domain(X_128))),domain(X_128)),domain(X_128)) )],[refute_0_862,refute_0_863]) ).
cnf(refute_0_865,plain,
coantidomain(antidomain(domain(X_128))) = addition(coantidomain(antidomain(domain(X_128))),domain(X_128)),
inference(resolve,[$cnf( $equal(coantidomain(antidomain(domain(X_128))),addition(coantidomain(antidomain(domain(X_128))),multiplication(coantidomain(antidomain(domain(X_128))),domain(X_128)))) )],[refute_0_684,refute_0_864]) ).
cnf(refute_0_866,plain,
addition(antidomain(multiplication(one,X_449)),antidomain(multiplication(one,domain(X_449)))) = antidomain(multiplication(one,domain(X_449))),
inference(subst,[],[refute_0_706:[bind(X0,$fot(one)),bind(X1,$fot(X_449))]]) ).
cnf(refute_0_867,plain,
multiplication(one,domain(X_449)) = domain(X_449),
inference(subst,[],[refute_0_88:[bind(A,$fot(domain(X_449)))]]) ).
cnf(refute_0_868,plain,
( addition(antidomain(multiplication(one,X_449)),antidomain(multiplication(one,domain(X_449)))) != antidomain(multiplication(one,domain(X_449)))
| multiplication(one,domain(X_449)) != domain(X_449)
| addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))) = antidomain(multiplication(one,domain(X_449))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(one,X_449)),antidomain(multiplication(one,domain(X_449)))),antidomain(multiplication(one,domain(X_449)))) ),[0,1,0],$fot(domain(X_449))]]) ).
cnf(refute_0_869,plain,
( addition(antidomain(multiplication(one,X_449)),antidomain(multiplication(one,domain(X_449)))) != antidomain(multiplication(one,domain(X_449)))
| addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))) = antidomain(multiplication(one,domain(X_449))) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_449)),domain(X_449)) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))) = antidomain(multiplication(one,domain(X_449))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_449)),antidomain(multiplication(one,domain(X_449)))),antidomain(multiplication(one,domain(X_449)))) )],[refute_0_866,refute_0_869]) ).
cnf(refute_0_871,plain,
multiplication(addition(domain(X0),one),antidomain(X1)) = addition(antidomain(X1),multiplication(domain(X0),antidomain(X1))),
inference(subst,[],[refute_0_96:[bind(X_268,$fot(domain(X0))),bind(X_270,$fot(antidomain(X1)))]]) ).
cnf(refute_0_872,plain,
domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_873,plain,
( domain_difference(X0,X1) != multiplication(domain(X0),antidomain(X1))
| multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(domain_difference(X0,X1))),bind(Y,$fot(multiplication(domain(X0),antidomain(X1))))]]) ).
cnf(refute_0_874,plain,
multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1),
inference(resolve,[$cnf( $equal(domain_difference(X0,X1),multiplication(domain(X0),antidomain(X1))) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
( multiplication(addition(domain(X0),one),antidomain(X1)) != addition(antidomain(X1),multiplication(domain(X0),antidomain(X1)))
| multiplication(domain(X0),antidomain(X1)) != domain_difference(X0,X1)
| multiplication(addition(domain(X0),one),antidomain(X1)) = addition(antidomain(X1),domain_difference(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),addition(antidomain(X1),multiplication(domain(X0),antidomain(X1)))) ),[1,1],$fot(domain_difference(X0,X1))]]) ).
cnf(refute_0_876,plain,
( multiplication(addition(domain(X0),one),antidomain(X1)) != addition(antidomain(X1),multiplication(domain(X0),antidomain(X1)))
| multiplication(addition(domain(X0),one),antidomain(X1)) = addition(antidomain(X1),domain_difference(X0,X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),antidomain(X1)),domain_difference(X0,X1)) )],[refute_0_874,refute_0_875]) ).
cnf(refute_0_877,plain,
multiplication(addition(domain(X0),one),antidomain(X1)) = addition(antidomain(X1),domain_difference(X0,X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),addition(antidomain(X1),multiplication(domain(X0),antidomain(X1)))) )],[refute_0_871,refute_0_876]) ).
cnf(refute_0_878,plain,
multiplication(one,antidomain(X1)) = antidomain(X1),
inference(subst,[],[refute_0_88:[bind(A,$fot(antidomain(X1)))]]) ).
cnf(refute_0_879,plain,
addition(one,domain(X0)) = one,
inference(subst,[],[refute_0_655:[bind(X_128,$fot(X0))]]) ).
cnf(refute_0_880,plain,
multiplication(addition(one,domain(X0)),antidomain(X1)) = multiplication(addition(one,domain(X0)),antidomain(X1)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(X0)),antidomain(X1)))]]) ).
cnf(refute_0_881,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),antidomain(X1)) != multiplication(addition(one,domain(X0)),antidomain(X1))
| multiplication(addition(one,domain(X0)),antidomain(X1)) = multiplication(one,antidomain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X0)),antidomain(X1)),multiplication(addition(one,domain(X0)),antidomain(X1))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_882,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),antidomain(X1)) = multiplication(one,antidomain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),antidomain(X1)),multiplication(addition(one,domain(X0)),antidomain(X1))) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
multiplication(addition(one,domain(X0)),antidomain(X1)) = multiplication(one,antidomain(X1)),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_879,refute_0_882]) ).
cnf(refute_0_884,plain,
( multiplication(addition(one,domain(X0)),antidomain(X1)) != multiplication(one,antidomain(X1))
| multiplication(one,antidomain(X1)) != antidomain(X1)
| multiplication(addition(one,domain(X0)),antidomain(X1)) = antidomain(X1) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(multiplication(addition(one,domain(X0)),antidomain(X1)))),bind(Y,$fot(multiplication(one,antidomain(X1)))),bind(Z,$fot(antidomain(X1)))]]) ).
cnf(refute_0_885,plain,
( multiplication(one,antidomain(X1)) != antidomain(X1)
| multiplication(addition(one,domain(X0)),antidomain(X1)) = antidomain(X1) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),antidomain(X1)),multiplication(one,antidomain(X1))) )],[refute_0_883,refute_0_884]) ).
cnf(refute_0_886,plain,
multiplication(addition(one,domain(X0)),antidomain(X1)) = antidomain(X1),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X1)),antidomain(X1)) )],[refute_0_878,refute_0_885]) ).
cnf(refute_0_887,plain,
addition(multiplication(X_269,X_270),multiplication(X_268,X_270)) = addition(multiplication(X_268,X_270),multiplication(X_269,X_270)),
inference(subst,[],[refute_0_1:[bind(A,$fot(multiplication(X_269,X_270))),bind(B,$fot(multiplication(X_268,X_270)))]]) ).
cnf(refute_0_888,plain,
multiplication(addition(X_268,X_269),X_270) = addition(multiplication(X_268,X_270),multiplication(X_269,X_270)),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_268)),bind(B,$fot(X_269)),bind(C,$fot(X_270))]]) ).
cnf(refute_0_889,plain,
( multiplication(addition(X_268,X_269),X_270) != addition(multiplication(X_268,X_270),multiplication(X_269,X_270))
| addition(multiplication(X_268,X_270),multiplication(X_269,X_270)) = multiplication(addition(X_268,X_269),X_270) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(X_268,X_269),X_270))),bind(Y,$fot(addition(multiplication(X_268,X_270),multiplication(X_269,X_270))))]]) ).
cnf(refute_0_890,plain,
addition(multiplication(X_268,X_270),multiplication(X_269,X_270)) = multiplication(addition(X_268,X_269),X_270),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,X_269),X_270),addition(multiplication(X_268,X_270),multiplication(X_269,X_270))) )],[refute_0_888,refute_0_889]) ).
cnf(refute_0_891,plain,
( addition(multiplication(X_268,X_270),multiplication(X_269,X_270)) != multiplication(addition(X_268,X_269),X_270)
| addition(multiplication(X_269,X_270),multiplication(X_268,X_270)) != addition(multiplication(X_268,X_270),multiplication(X_269,X_270))
| addition(multiplication(X_269,X_270),multiplication(X_268,X_270)) = multiplication(addition(X_268,X_269),X_270) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_269,X_270),multiplication(X_268,X_270)),addition(multiplication(X_268,X_270),multiplication(X_269,X_270))) ),[1],$fot(multiplication(addition(X_268,X_269),X_270))]]) ).
cnf(refute_0_892,plain,
( addition(multiplication(X_269,X_270),multiplication(X_268,X_270)) != addition(multiplication(X_268,X_270),multiplication(X_269,X_270))
| addition(multiplication(X_269,X_270),multiplication(X_268,X_270)) = multiplication(addition(X_268,X_269),X_270) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_268,X_270),multiplication(X_269,X_270)),multiplication(addition(X_268,X_269),X_270)) )],[refute_0_890,refute_0_891]) ).
cnf(refute_0_893,plain,
addition(multiplication(X_269,X_270),multiplication(X_268,X_270)) = multiplication(addition(X_268,X_269),X_270),
inference(resolve,[$cnf( $equal(addition(multiplication(X_269,X_270),multiplication(X_268,X_270)),addition(multiplication(X_268,X_270),multiplication(X_269,X_270))) )],[refute_0_887,refute_0_892]) ).
cnf(refute_0_894,plain,
addition(multiplication(X_269,X_270),multiplication(X_268,X_270)) = multiplication(addition(X_269,X_268),X_270),
inference(subst,[],[refute_0_382:[bind(A,$fot(X_269)),bind(B,$fot(X_268)),bind(C,$fot(X_270))]]) ).
cnf(refute_0_895,plain,
( addition(multiplication(X_269,X_270),multiplication(X_268,X_270)) != multiplication(addition(X_268,X_269),X_270)
| addition(multiplication(X_269,X_270),multiplication(X_268,X_270)) != multiplication(addition(X_269,X_268),X_270)
| multiplication(addition(X_269,X_268),X_270) = multiplication(addition(X_268,X_269),X_270) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_269,X_270),multiplication(X_268,X_270)),multiplication(addition(X_268,X_269),X_270)) ),[0],$fot(multiplication(addition(X_269,X_268),X_270))]]) ).
cnf(refute_0_896,plain,
( addition(multiplication(X_269,X_270),multiplication(X_268,X_270)) != multiplication(addition(X_268,X_269),X_270)
| multiplication(addition(X_269,X_268),X_270) = multiplication(addition(X_268,X_269),X_270) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_269,X_270),multiplication(X_268,X_270)),multiplication(addition(X_269,X_268),X_270)) )],[refute_0_894,refute_0_895]) ).
cnf(refute_0_897,plain,
multiplication(addition(X_269,X_268),X_270) = multiplication(addition(X_268,X_269),X_270),
inference(resolve,[$cnf( $equal(addition(multiplication(X_269,X_270),multiplication(X_268,X_270)),multiplication(addition(X_268,X_269),X_270)) )],[refute_0_893,refute_0_896]) ).
cnf(refute_0_898,plain,
( multiplication(addition(X_269,X_268),X_270) != multiplication(addition(X_268,X_269),X_270)
| multiplication(addition(X_268,X_269),X_270) = multiplication(addition(X_269,X_268),X_270) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(X_269,X_268),X_270))),bind(Y,$fot(multiplication(addition(X_268,X_269),X_270)))]]) ).
cnf(refute_0_899,plain,
multiplication(addition(X_268,X_269),X_270) = multiplication(addition(X_269,X_268),X_270),
inference(resolve,[$cnf( $equal(multiplication(addition(X_269,X_268),X_270),multiplication(addition(X_268,X_269),X_270)) )],[refute_0_897,refute_0_898]) ).
cnf(refute_0_900,plain,
multiplication(addition(domain(X0),one),antidomain(X1)) = multiplication(addition(one,domain(X0)),antidomain(X1)),
inference(subst,[],[refute_0_899:[bind(X_268,$fot(domain(X0))),bind(X_269,$fot(one)),bind(X_270,$fot(antidomain(X1)))]]) ).
cnf(refute_0_901,plain,
( multiplication(addition(domain(X0),one),antidomain(X1)) != multiplication(addition(one,domain(X0)),antidomain(X1))
| multiplication(addition(one,domain(X0)),antidomain(X1)) != antidomain(X1)
| multiplication(addition(domain(X0),one),antidomain(X1)) = antidomain(X1) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(multiplication(addition(domain(X0),one),antidomain(X1)))),bind(Y,$fot(multiplication(addition(one,domain(X0)),antidomain(X1)))),bind(Z,$fot(antidomain(X1)))]]) ).
cnf(refute_0_902,plain,
( multiplication(addition(one,domain(X0)),antidomain(X1)) != antidomain(X1)
| multiplication(addition(domain(X0),one),antidomain(X1)) = antidomain(X1) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),multiplication(addition(one,domain(X0)),antidomain(X1))) )],[refute_0_900,refute_0_901]) ).
cnf(refute_0_903,plain,
multiplication(addition(domain(X0),one),antidomain(X1)) = antidomain(X1),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),antidomain(X1)),antidomain(X1)) )],[refute_0_886,refute_0_902]) ).
cnf(refute_0_904,plain,
( multiplication(addition(domain(X0),one),antidomain(X1)) != addition(antidomain(X1),domain_difference(X0,X1))
| multiplication(addition(domain(X0),one),antidomain(X1)) != antidomain(X1)
| antidomain(X1) = addition(antidomain(X1),domain_difference(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),addition(antidomain(X1),domain_difference(X0,X1))) ),[0],$fot(antidomain(X1))]]) ).
cnf(refute_0_905,plain,
( multiplication(addition(domain(X0),one),antidomain(X1)) != addition(antidomain(X1),domain_difference(X0,X1))
| antidomain(X1) = addition(antidomain(X1),domain_difference(X0,X1)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),antidomain(X1)) )],[refute_0_903,refute_0_904]) ).
cnf(refute_0_906,plain,
antidomain(X1) = addition(antidomain(X1),domain_difference(X0,X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),addition(antidomain(X1),domain_difference(X0,X1))) )],[refute_0_877,refute_0_905]) ).
cnf(refute_0_907,plain,
antidomain(X1) = addition(antidomain(X1),domain_difference(antidomain(X1),X1)),
inference(subst,[],[refute_0_906:[bind(X0,$fot(antidomain(X1)))]]) ).
cnf(refute_0_908,plain,
multiplication(antidomain(X_142),addition(X_141,X_142)) = addition(multiplication(antidomain(X_142),X_141),multiplication(antidomain(X_142),X_142)),
inference(subst,[],[refute_0_28:[bind(A,$fot(antidomain(X_142))),bind(B,$fot(X_141)),bind(C,$fot(X_142))]]) ).
cnf(refute_0_909,plain,
multiplication(antidomain(X_142),X_142) = zero,
inference(subst,[],[refute_0_399:[bind(X0,$fot(X_142))]]) ).
cnf(refute_0_910,plain,
( multiplication(antidomain(X_142),X_142) != zero
| multiplication(antidomain(X_142),addition(X_141,X_142)) != addition(multiplication(antidomain(X_142),X_141),multiplication(antidomain(X_142),X_142))
| multiplication(antidomain(X_142),addition(X_141,X_142)) = addition(multiplication(antidomain(X_142),X_141),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_142),addition(X_141,X_142)),addition(multiplication(antidomain(X_142),X_141),multiplication(antidomain(X_142),X_142))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_911,plain,
( multiplication(antidomain(X_142),addition(X_141,X_142)) != addition(multiplication(antidomain(X_142),X_141),multiplication(antidomain(X_142),X_142))
| multiplication(antidomain(X_142),addition(X_141,X_142)) = addition(multiplication(antidomain(X_142),X_141),zero) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_142),X_142),zero) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
multiplication(antidomain(X_142),addition(X_141,X_142)) = addition(multiplication(antidomain(X_142),X_141),zero),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_142),addition(X_141,X_142)),addition(multiplication(antidomain(X_142),X_141),multiplication(antidomain(X_142),X_142))) )],[refute_0_908,refute_0_911]) ).
cnf(refute_0_913,plain,
addition(multiplication(antidomain(X_142),X_141),zero) = multiplication(antidomain(X_142),X_141),
inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(antidomain(X_142),X_141)))]]) ).
cnf(refute_0_914,plain,
( addition(multiplication(antidomain(X_142),X_141),zero) != multiplication(antidomain(X_142),X_141)
| multiplication(antidomain(X_142),addition(X_141,X_142)) != addition(multiplication(antidomain(X_142),X_141),zero)
| multiplication(antidomain(X_142),addition(X_141,X_142)) = multiplication(antidomain(X_142),X_141) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_142),addition(X_141,X_142)),addition(multiplication(antidomain(X_142),X_141),zero)) ),[1],$fot(multiplication(antidomain(X_142),X_141))]]) ).
cnf(refute_0_915,plain,
( multiplication(antidomain(X_142),addition(X_141,X_142)) != addition(multiplication(antidomain(X_142),X_141),zero)
| multiplication(antidomain(X_142),addition(X_141,X_142)) = multiplication(antidomain(X_142),X_141) ),
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(X_142),X_141),zero),multiplication(antidomain(X_142),X_141)) )],[refute_0_913,refute_0_914]) ).
cnf(refute_0_916,plain,
multiplication(antidomain(X_142),addition(X_141,X_142)) = multiplication(antidomain(X_142),X_141),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_142),addition(X_141,X_142)),addition(multiplication(antidomain(X_142),X_141),zero)) )],[refute_0_912,refute_0_915]) ).
cnf(refute_0_917,plain,
multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(subst,[],[refute_0_916:[bind(X_141,$fot(antidomain(X0))),bind(X_142,$fot(domain(X0)))]]) ).
cnf(refute_0_918,plain,
( addition(antidomain(X0),domain(X0)) != one
| multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))) != multiplication(antidomain(domain(X0)),antidomain(X0))
| multiplication(antidomain(domain(X0)),one) = multiplication(antidomain(domain(X0)),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))),multiplication(antidomain(domain(X0)),antidomain(X0))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_919,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( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_507,refute_0_918]) ).
cnf(refute_0_920,plain,
multiplication(antidomain(domain(X0)),one) = multiplication(antidomain(domain(X0)),antidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),addition(antidomain(X0),domain(X0))),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_917,refute_0_919]) ).
cnf(refute_0_921,plain,
multiplication(antidomain(domain(X0)),one) = antidomain(domain(X0)),
inference(subst,[],[refute_0_13:[bind(A,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_922,plain,
( antidomain(domain(X0)) != c(X0)
| multiplication(antidomain(domain(X0)),one) != antidomain(domain(X0))
| multiplication(antidomain(domain(X0)),one) = c(X0) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(multiplication(antidomain(domain(X0)),one))),bind(Y,$fot(antidomain(domain(X0)))),bind(Z,$fot(c(X0)))]]) ).
cnf(refute_0_923,plain,
( antidomain(domain(X0)) != c(X0)
| multiplication(antidomain(domain(X0)),one) = c(X0) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),antidomain(domain(X0))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
multiplication(antidomain(domain(X0)),one) = c(X0),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_623,refute_0_923]) ).
cnf(refute_0_925,plain,
( multiplication(antidomain(domain(X0)),one) != c(X0)
| multiplication(antidomain(domain(X0)),one) != multiplication(antidomain(domain(X0)),antidomain(X0))
| c(X0) = multiplication(antidomain(domain(X0)),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),multiplication(antidomain(domain(X0)),antidomain(X0))) ),[0],$fot(c(X0))]]) ).
cnf(refute_0_926,plain,
( multiplication(antidomain(domain(X0)),one) != multiplication(antidomain(domain(X0)),antidomain(X0))
| c(X0) = multiplication(antidomain(domain(X0)),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),c(X0)) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
domain_difference(antidomain(X_4),X_43) = multiplication(domain(antidomain(X_4)),antidomain(X_43)),
inference(subst,[],[refute_0_872:[bind(X0,$fot(antidomain(X_4))),bind(X1,$fot(X_43))]]) ).
cnf(refute_0_928,plain,
( domain(antidomain(X_4)) != c(X_4)
| domain_difference(antidomain(X_4),X_43) != multiplication(domain(antidomain(X_4)),antidomain(X_43))
| domain_difference(antidomain(X_4),X_43) = multiplication(c(X_4),antidomain(X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(antidomain(X_4),X_43),multiplication(domain(antidomain(X_4)),antidomain(X_43))) ),[1,0],$fot(c(X_4))]]) ).
cnf(refute_0_929,plain,
( domain_difference(antidomain(X_4),X_43) != multiplication(domain(antidomain(X_4)),antidomain(X_43))
| domain_difference(antidomain(X_4),X_43) = multiplication(c(X_4),antidomain(X_43)) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_4)),c(X_4)) )],[refute_0_627,refute_0_928]) ).
cnf(refute_0_930,plain,
domain_difference(antidomain(X_4),X_43) = multiplication(c(X_4),antidomain(X_43)),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X_4),X_43),multiplication(domain(antidomain(X_4)),antidomain(X_43))) )],[refute_0_927,refute_0_929]) ).
cnf(refute_0_931,plain,
( domain_difference(antidomain(X_4),X_43) != multiplication(c(X_4),antidomain(X_43))
| multiplication(c(X_4),antidomain(X_43)) = domain_difference(antidomain(X_4),X_43) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(domain_difference(antidomain(X_4),X_43))),bind(Y,$fot(multiplication(c(X_4),antidomain(X_43))))]]) ).
cnf(refute_0_932,plain,
multiplication(c(X_4),antidomain(X_43)) = domain_difference(antidomain(X_4),X_43),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X_4),X_43),multiplication(c(X_4),antidomain(X_43))) )],[refute_0_930,refute_0_931]) ).
cnf(refute_0_933,plain,
multiplication(c(X0),antidomain(X0)) = domain_difference(antidomain(X0),X0),
inference(subst,[],[refute_0_932:[bind(X_4,$fot(X0)),bind(X_43,$fot(X0))]]) ).
cnf(refute_0_934,plain,
multiplication(antidomain(domain(X0)),antidomain(X0)) = multiplication(antidomain(domain(X0)),antidomain(X0)),
introduced(tautology,[refl,[$fot(multiplication(antidomain(domain(X0)),antidomain(X0)))]]) ).
cnf(refute_0_935,plain,
( antidomain(domain(X0)) != c(X0)
| multiplication(antidomain(domain(X0)),antidomain(X0)) != multiplication(antidomain(domain(X0)),antidomain(X0))
| multiplication(antidomain(domain(X0)),antidomain(X0)) = multiplication(c(X0),antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(X0)),antidomain(X0)),multiplication(antidomain(domain(X0)),antidomain(X0))) ),[1,0],$fot(c(X0))]]) ).
cnf(refute_0_936,plain,
( antidomain(domain(X0)) != c(X0)
| multiplication(antidomain(domain(X0)),antidomain(X0)) = multiplication(c(X0),antidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),antidomain(X0)),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_934,refute_0_935]) ).
cnf(refute_0_937,plain,
multiplication(antidomain(domain(X0)),antidomain(X0)) = multiplication(c(X0),antidomain(X0)),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_623,refute_0_936]) ).
cnf(refute_0_938,plain,
( multiplication(antidomain(domain(X0)),antidomain(X0)) != multiplication(c(X0),antidomain(X0))
| multiplication(c(X0),antidomain(X0)) != domain_difference(antidomain(X0),X0)
| multiplication(antidomain(domain(X0)),antidomain(X0)) = domain_difference(antidomain(X0),X0) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(multiplication(antidomain(domain(X0)),antidomain(X0)))),bind(Y,$fot(multiplication(c(X0),antidomain(X0)))),bind(Z,$fot(domain_difference(antidomain(X0),X0)))]]) ).
cnf(refute_0_939,plain,
( multiplication(c(X0),antidomain(X0)) != domain_difference(antidomain(X0),X0)
| multiplication(antidomain(domain(X0)),antidomain(X0)) = domain_difference(antidomain(X0),X0) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),antidomain(X0)),multiplication(c(X0),antidomain(X0))) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
multiplication(antidomain(domain(X0)),antidomain(X0)) = domain_difference(antidomain(X0),X0),
inference(resolve,[$cnf( $equal(multiplication(c(X0),antidomain(X0)),domain_difference(antidomain(X0),X0)) )],[refute_0_933,refute_0_939]) ).
cnf(refute_0_941,plain,
( c(X0) != multiplication(antidomain(domain(X0)),antidomain(X0))
| multiplication(antidomain(domain(X0)),antidomain(X0)) != domain_difference(antidomain(X0),X0)
| c(X0) = domain_difference(antidomain(X0),X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c(X0),domain_difference(antidomain(X0),X0)) ),[0],$fot(multiplication(antidomain(domain(X0)),antidomain(X0)))]]) ).
cnf(refute_0_942,plain,
( c(X0) != multiplication(antidomain(domain(X0)),antidomain(X0))
| c(X0) = domain_difference(antidomain(X0),X0) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),antidomain(X0)),domain_difference(antidomain(X0),X0)) )],[refute_0_940,refute_0_941]) ).
cnf(refute_0_943,plain,
( multiplication(antidomain(domain(X0)),one) != multiplication(antidomain(domain(X0)),antidomain(X0))
| c(X0) = domain_difference(antidomain(X0),X0) ),
inference(resolve,[$cnf( $equal(c(X0),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_926,refute_0_942]) ).
cnf(refute_0_944,plain,
c(X0) = domain_difference(antidomain(X0),X0),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(X0)),one),multiplication(antidomain(domain(X0)),antidomain(X0))) )],[refute_0_920,refute_0_943]) ).
cnf(refute_0_945,plain,
c(X1) = domain_difference(antidomain(X1),X1),
inference(subst,[],[refute_0_944:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_946,plain,
( c(X1) != domain_difference(antidomain(X1),X1)
| domain_difference(antidomain(X1),X1) = c(X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(c(X1))),bind(Y,$fot(domain_difference(antidomain(X1),X1)))]]) ).
cnf(refute_0_947,plain,
domain_difference(antidomain(X1),X1) = c(X1),
inference(resolve,[$cnf( $equal(c(X1),domain_difference(antidomain(X1),X1)) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
( antidomain(X1) != addition(antidomain(X1),domain_difference(antidomain(X1),X1))
| domain_difference(antidomain(X1),X1) != c(X1)
| antidomain(X1) = addition(antidomain(X1),c(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(X1),addition(antidomain(X1),domain_difference(antidomain(X1),X1))) ),[1,1],$fot(c(X1))]]) ).
cnf(refute_0_949,plain,
( antidomain(X1) != addition(antidomain(X1),domain_difference(antidomain(X1),X1))
| antidomain(X1) = addition(antidomain(X1),c(X1)) ),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X1),X1),c(X1)) )],[refute_0_947,refute_0_948]) ).
cnf(refute_0_950,plain,
antidomain(X1) = addition(antidomain(X1),c(X1)),
inference(resolve,[$cnf( $equal(antidomain(X1),addition(antidomain(X1),domain_difference(antidomain(X1),X1))) )],[refute_0_907,refute_0_949]) ).
cnf(refute_0_951,plain,
( antidomain(X1) != addition(antidomain(X1),c(X1))
| addition(antidomain(X1),c(X1)) = antidomain(X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(antidomain(X1))),bind(Y,$fot(addition(antidomain(X1),c(X1))))]]) ).
cnf(refute_0_952,plain,
addition(antidomain(X1),c(X1)) = antidomain(X1),
inference(resolve,[$cnf( $equal(antidomain(X1),addition(antidomain(X1),c(X1))) )],[refute_0_950,refute_0_951]) ).
cnf(refute_0_953,plain,
addition(antidomain(X_449),c(X_449)) = antidomain(X_449),
inference(subst,[],[refute_0_952:[bind(X1,$fot(X_449))]]) ).
cnf(refute_0_954,plain,
addition(c(X_449),antidomain(X_449)) = addition(antidomain(X_449),c(X_449)),
inference(subst,[],[refute_0_6:[bind(A,$fot(antidomain(X_449))),bind(B,$fot(c(X_449)))]]) ).
cnf(refute_0_955,plain,
( addition(antidomain(X_449),c(X_449)) != antidomain(X_449)
| addition(c(X_449),antidomain(X_449)) != addition(antidomain(X_449),c(X_449))
| addition(c(X_449),antidomain(X_449)) = antidomain(X_449) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(addition(c(X_449),antidomain(X_449)))),bind(Y,$fot(addition(antidomain(X_449),c(X_449)))),bind(Z,$fot(antidomain(X_449)))]]) ).
cnf(refute_0_956,plain,
( addition(antidomain(X_449),c(X_449)) != antidomain(X_449)
| addition(c(X_449),antidomain(X_449)) = antidomain(X_449) ),
inference(resolve,[$cnf( $equal(addition(c(X_449),antidomain(X_449)),addition(antidomain(X_449),c(X_449))) )],[refute_0_954,refute_0_955]) ).
cnf(refute_0_957,plain,
addition(c(X_449),antidomain(X_449)) = antidomain(X_449),
inference(resolve,[$cnf( $equal(addition(antidomain(X_449),c(X_449)),antidomain(X_449)) )],[refute_0_953,refute_0_956]) ).
cnf(refute_0_958,plain,
multiplication(one,X_449) = X_449,
inference(subst,[],[refute_0_88:[bind(A,$fot(X_449))]]) ).
cnf(refute_0_959,plain,
antidomain(multiplication(one,X_449)) = antidomain(multiplication(one,X_449)),
introduced(tautology,[refl,[$fot(antidomain(multiplication(one,X_449)))]]) ).
cnf(refute_0_960,plain,
( antidomain(multiplication(one,X_449)) != antidomain(multiplication(one,X_449))
| multiplication(one,X_449) != X_449
| antidomain(multiplication(one,X_449)) = antidomain(X_449) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(one,X_449)),antidomain(multiplication(one,X_449))) ),[1,0],$fot(X_449)]]) ).
cnf(refute_0_961,plain,
( multiplication(one,X_449) != X_449
| antidomain(multiplication(one,X_449)) = antidomain(X_449) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,X_449)),antidomain(multiplication(one,X_449))) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
antidomain(multiplication(one,X_449)) = antidomain(X_449),
inference(resolve,[$cnf( $equal(multiplication(one,X_449),X_449) )],[refute_0_958,refute_0_961]) ).
cnf(refute_0_963,plain,
addition(c(X_449),antidomain(multiplication(one,X_449))) = addition(c(X_449),antidomain(multiplication(one,X_449))),
introduced(tautology,[refl,[$fot(addition(c(X_449),antidomain(multiplication(one,X_449))))]]) ).
cnf(refute_0_964,plain,
( addition(c(X_449),antidomain(multiplication(one,X_449))) != addition(c(X_449),antidomain(multiplication(one,X_449)))
| antidomain(multiplication(one,X_449)) != antidomain(X_449)
| addition(c(X_449),antidomain(multiplication(one,X_449))) = addition(c(X_449),antidomain(X_449)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_449),antidomain(multiplication(one,X_449))),addition(c(X_449),antidomain(multiplication(one,X_449)))) ),[1,1],$fot(antidomain(X_449))]]) ).
cnf(refute_0_965,plain,
( antidomain(multiplication(one,X_449)) != antidomain(X_449)
| addition(c(X_449),antidomain(multiplication(one,X_449))) = addition(c(X_449),antidomain(X_449)) ),
inference(resolve,[$cnf( $equal(addition(c(X_449),antidomain(multiplication(one,X_449))),addition(c(X_449),antidomain(multiplication(one,X_449)))) )],[refute_0_963,refute_0_964]) ).
cnf(refute_0_966,plain,
addition(c(X_449),antidomain(multiplication(one,X_449))) = addition(c(X_449),antidomain(X_449)),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,X_449)),antidomain(X_449)) )],[refute_0_962,refute_0_965]) ).
cnf(refute_0_967,plain,
antidomain(domain(X_449)) = c(X_449),
inference(subst,[],[refute_0_623:[bind(X0,$fot(X_449))]]) ).
cnf(refute_0_968,plain,
addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))) = addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))),
introduced(tautology,[refl,[$fot(addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))))]]) ).
cnf(refute_0_969,plain,
( addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))) != addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449)))
| antidomain(domain(X_449)) != c(X_449)
| addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))) = addition(c(X_449),antidomain(multiplication(one,X_449))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))),addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449)))) ),[1,0],$fot(c(X_449))]]) ).
cnf(refute_0_970,plain,
( antidomain(domain(X_449)) != c(X_449)
| addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))) = addition(c(X_449),antidomain(multiplication(one,X_449))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))),addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449)))) )],[refute_0_968,refute_0_969]) ).
cnf(refute_0_971,plain,
addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))) = addition(c(X_449),antidomain(multiplication(one,X_449))),
inference(resolve,[$cnf( $equal(antidomain(domain(X_449)),c(X_449)) )],[refute_0_967,refute_0_970]) ).
cnf(refute_0_972,plain,
( addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))) != addition(c(X_449),antidomain(multiplication(one,X_449)))
| addition(c(X_449),antidomain(multiplication(one,X_449))) != addition(c(X_449),antidomain(X_449))
| addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))) = addition(c(X_449),antidomain(X_449)) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))))),bind(Y,$fot(addition(c(X_449),antidomain(multiplication(one,X_449))))),bind(Z,$fot(addition(c(X_449),antidomain(X_449))))]]) ).
cnf(refute_0_973,plain,
( addition(c(X_449),antidomain(multiplication(one,X_449))) != addition(c(X_449),antidomain(X_449))
| addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))) = addition(c(X_449),antidomain(X_449)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))),addition(c(X_449),antidomain(multiplication(one,X_449)))) )],[refute_0_971,refute_0_972]) ).
cnf(refute_0_974,plain,
addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))) = addition(c(X_449),antidomain(X_449)),
inference(resolve,[$cnf( $equal(addition(c(X_449),antidomain(multiplication(one,X_449))),addition(c(X_449),antidomain(X_449))) )],[refute_0_966,refute_0_973]) ).
cnf(refute_0_975,plain,
( addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))) != addition(c(X_449),antidomain(X_449))
| addition(c(X_449),antidomain(X_449)) != antidomain(X_449)
| addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))) = antidomain(X_449) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))))),bind(Y,$fot(addition(c(X_449),antidomain(X_449)))),bind(Z,$fot(antidomain(X_449)))]]) ).
cnf(refute_0_976,plain,
( addition(c(X_449),antidomain(X_449)) != antidomain(X_449)
| addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))) = antidomain(X_449) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))),addition(c(X_449),antidomain(X_449))) )],[refute_0_974,refute_0_975]) ).
cnf(refute_0_977,plain,
addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))) = antidomain(X_449),
inference(resolve,[$cnf( $equal(addition(c(X_449),antidomain(X_449)),antidomain(X_449)) )],[refute_0_957,refute_0_976]) ).
cnf(refute_0_978,plain,
addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))) = addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))),
inference(subst,[],[refute_0_6:[bind(A,$fot(antidomain(domain(X_449)))),bind(B,$fot(antidomain(multiplication(one,X_449))))]]) ).
cnf(refute_0_979,plain,
( addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))) != antidomain(X_449)
| addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))) != addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449)))
| addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))) = antidomain(X_449) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))))),bind(Y,$fot(addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))))),bind(Z,$fot(antidomain(X_449)))]]) ).
cnf(refute_0_980,plain,
( addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))) != antidomain(X_449)
| addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))) = antidomain(X_449) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))),addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449)))) )],[refute_0_978,refute_0_979]) ).
cnf(refute_0_981,plain,
addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))) = antidomain(X_449),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_449)),antidomain(multiplication(one,X_449))),antidomain(X_449)) )],[refute_0_977,refute_0_980]) ).
cnf(refute_0_982,plain,
( addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))) != antidomain(X_449)
| addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))) != antidomain(multiplication(one,domain(X_449)))
| antidomain(X_449) = antidomain(multiplication(one,domain(X_449))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))),antidomain(multiplication(one,domain(X_449)))) ),[0],$fot(antidomain(X_449))]]) ).
cnf(refute_0_983,plain,
( addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))) != antidomain(multiplication(one,domain(X_449)))
| antidomain(X_449) = antidomain(multiplication(one,domain(X_449))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))),antidomain(X_449)) )],[refute_0_981,refute_0_982]) ).
cnf(refute_0_984,plain,
antidomain(multiplication(one,domain(X_449))) = antidomain(multiplication(one,domain(X_449))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(one,domain(X_449))))]]) ).
cnf(refute_0_985,plain,
( antidomain(multiplication(one,domain(X_449))) != antidomain(multiplication(one,domain(X_449)))
| multiplication(one,domain(X_449)) != domain(X_449)
| antidomain(multiplication(one,domain(X_449))) = antidomain(domain(X_449)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(one,domain(X_449))),antidomain(multiplication(one,domain(X_449)))) ),[1,0],$fot(domain(X_449))]]) ).
cnf(refute_0_986,plain,
( multiplication(one,domain(X_449)) != domain(X_449)
| antidomain(multiplication(one,domain(X_449))) = antidomain(domain(X_449)) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,domain(X_449))),antidomain(multiplication(one,domain(X_449)))) )],[refute_0_984,refute_0_985]) ).
cnf(refute_0_987,plain,
antidomain(multiplication(one,domain(X_449))) = antidomain(domain(X_449)),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_449)),domain(X_449)) )],[refute_0_867,refute_0_986]) ).
cnf(refute_0_988,plain,
( antidomain(domain(X_449)) != c(X_449)
| antidomain(multiplication(one,domain(X_449))) != antidomain(domain(X_449))
| antidomain(multiplication(one,domain(X_449))) = c(X_449) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(antidomain(multiplication(one,domain(X_449))))),bind(Y,$fot(antidomain(domain(X_449)))),bind(Z,$fot(c(X_449)))]]) ).
cnf(refute_0_989,plain,
( antidomain(domain(X_449)) != c(X_449)
| antidomain(multiplication(one,domain(X_449))) = c(X_449) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,domain(X_449))),antidomain(domain(X_449))) )],[refute_0_987,refute_0_988]) ).
cnf(refute_0_990,plain,
antidomain(multiplication(one,domain(X_449))) = c(X_449),
inference(resolve,[$cnf( $equal(antidomain(domain(X_449)),c(X_449)) )],[refute_0_967,refute_0_989]) ).
cnf(refute_0_991,plain,
( antidomain(X_449) != antidomain(multiplication(one,domain(X_449)))
| antidomain(multiplication(one,domain(X_449))) != c(X_449)
| antidomain(X_449) = c(X_449) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(X_449),c(X_449)) ),[0],$fot(antidomain(multiplication(one,domain(X_449))))]]) ).
cnf(refute_0_992,plain,
( antidomain(X_449) != antidomain(multiplication(one,domain(X_449)))
| antidomain(X_449) = c(X_449) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,domain(X_449))),c(X_449)) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
( addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))) != antidomain(multiplication(one,domain(X_449)))
| antidomain(X_449) = c(X_449) ),
inference(resolve,[$cnf( $equal(antidomain(X_449),antidomain(multiplication(one,domain(X_449)))) )],[refute_0_983,refute_0_992]) ).
cnf(refute_0_994,plain,
antidomain(X_449) = c(X_449),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_449)),antidomain(domain(X_449))),antidomain(multiplication(one,domain(X_449)))) )],[refute_0_870,refute_0_993]) ).
cnf(refute_0_995,plain,
( antidomain(X_449) != c(X_449)
| c(X_449) = antidomain(X_449) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(antidomain(X_449))),bind(Y,$fot(c(X_449)))]]) ).
cnf(refute_0_996,plain,
c(X_449) = antidomain(X_449),
inference(resolve,[$cnf( $equal(antidomain(X_449),c(X_449)) )],[refute_0_994,refute_0_995]) ).
cnf(refute_0_997,plain,
c(X0) = antidomain(X0),
inference(subst,[],[refute_0_996:[bind(X_449,$fot(X0))]]) ).
cnf(refute_0_998,plain,
( c(X0) != antidomain(X0)
| c(X0) != antidomain(domain(X0))
| antidomain(X0) = antidomain(domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(c(X0),antidomain(domain(X0))) ),[0],$fot(antidomain(X0))]]) ).
cnf(refute_0_999,plain,
( c(X0) != antidomain(domain(X0))
| antidomain(X0) = antidomain(domain(X0)) ),
inference(resolve,[$cnf( $equal(c(X0),antidomain(X0)) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
antidomain(X0) = antidomain(domain(X0)),
inference(resolve,[$cnf( $equal(c(X0),antidomain(domain(X0))) )],[refute_0_621,refute_0_999]) ).
cnf(refute_0_1001,plain,
( antidomain(X0) != antidomain(domain(X0))
| antidomain(domain(X0)) = antidomain(X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(antidomain(X0))),bind(Y,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_1002,plain,
antidomain(domain(X0)) = antidomain(X0),
inference(resolve,[$cnf( $equal(antidomain(X0),antidomain(domain(X0))) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
antidomain(domain(X_128)) = antidomain(X_128),
inference(subst,[],[refute_0_1002:[bind(X0,$fot(X_128))]]) ).
cnf(refute_0_1004,plain,
coantidomain(antidomain(domain(X_128))) = coantidomain(antidomain(domain(X_128))),
introduced(tautology,[refl,[$fot(coantidomain(antidomain(domain(X_128))))]]) ).
cnf(refute_0_1005,plain,
( antidomain(domain(X_128)) != antidomain(X_128)
| coantidomain(antidomain(domain(X_128))) != coantidomain(antidomain(domain(X_128)))
| coantidomain(antidomain(domain(X_128))) = coantidomain(antidomain(X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(antidomain(domain(X_128))),coantidomain(antidomain(domain(X_128)))) ),[1,0],$fot(antidomain(X_128))]]) ).
cnf(refute_0_1006,plain,
( antidomain(domain(X_128)) != antidomain(X_128)
| coantidomain(antidomain(domain(X_128))) = coantidomain(antidomain(X_128)) ),
inference(resolve,[$cnf( $equal(coantidomain(antidomain(domain(X_128))),coantidomain(antidomain(domain(X_128)))) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
coantidomain(antidomain(domain(X_128))) = coantidomain(antidomain(X_128)),
inference(resolve,[$cnf( $equal(antidomain(domain(X_128)),antidomain(X_128)) )],[refute_0_1003,refute_0_1006]) ).
cnf(refute_0_1008,plain,
( coantidomain(antidomain(domain(X_128))) != addition(coantidomain(antidomain(domain(X_128))),domain(X_128))
| coantidomain(antidomain(domain(X_128))) != coantidomain(antidomain(X_128))
| coantidomain(antidomain(X_128)) = addition(coantidomain(antidomain(domain(X_128))),domain(X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(antidomain(domain(X_128))),addition(coantidomain(antidomain(domain(X_128))),domain(X_128))) ),[0],$fot(coantidomain(antidomain(X_128)))]]) ).
cnf(refute_0_1009,plain,
( coantidomain(antidomain(domain(X_128))) != addition(coantidomain(antidomain(domain(X_128))),domain(X_128))
| coantidomain(antidomain(X_128)) = addition(coantidomain(antidomain(domain(X_128))),domain(X_128)) ),
inference(resolve,[$cnf( $equal(coantidomain(antidomain(domain(X_128))),coantidomain(antidomain(X_128))) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
multiplication(X_1717,addition(one,multiplication(coantidomain(X_7),one))) = addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))),
inference(subst,[],[refute_0_609:[bind(X_140,$fot(X_1717)),bind(X_142,$fot(multiplication(coantidomain(X_7),one)))]]) ).
cnf(refute_0_1011,plain,
multiplication(addition(one,coantidomain(X_7)),X_1071) = addition(X_1071,multiplication(coantidomain(X_7),X_1071)),
inference(subst,[],[refute_0_490:[bind(X_269,$fot(coantidomain(X_7))),bind(X_270,$fot(X_1071))]]) ).
cnf(refute_0_1012,plain,
( addition(one,coantidomain(X_7)) != one
| multiplication(addition(one,coantidomain(X_7)),X_1071) != addition(X_1071,multiplication(coantidomain(X_7),X_1071))
| multiplication(one,X_1071) = addition(X_1071,multiplication(coantidomain(X_7),X_1071)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,coantidomain(X_7)),X_1071),addition(X_1071,multiplication(coantidomain(X_7),X_1071))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_1013,plain,
( multiplication(addition(one,coantidomain(X_7)),X_1071) != addition(X_1071,multiplication(coantidomain(X_7),X_1071))
| multiplication(one,X_1071) = addition(X_1071,multiplication(coantidomain(X_7),X_1071)) ),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(X_7)),one) )],[refute_0_235,refute_0_1012]) ).
cnf(refute_0_1014,plain,
multiplication(one,X_1071) = addition(X_1071,multiplication(coantidomain(X_7),X_1071)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,coantidomain(X_7)),X_1071),addition(X_1071,multiplication(coantidomain(X_7),X_1071))) )],[refute_0_1011,refute_0_1013]) ).
cnf(refute_0_1015,plain,
( multiplication(one,X_1071) != X_1071
| multiplication(one,X_1071) != addition(X_1071,multiplication(coantidomain(X_7),X_1071))
| X_1071 = addition(X_1071,multiplication(coantidomain(X_7),X_1071)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_1071),addition(X_1071,multiplication(coantidomain(X_7),X_1071))) ),[0],$fot(X_1071)]]) ).
cnf(refute_0_1016,plain,
( multiplication(one,X_1071) != addition(X_1071,multiplication(coantidomain(X_7),X_1071))
| X_1071 = addition(X_1071,multiplication(coantidomain(X_7),X_1071)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_1071),X_1071) )],[refute_0_521,refute_0_1015]) ).
cnf(refute_0_1017,plain,
X_1071 = addition(X_1071,multiplication(coantidomain(X_7),X_1071)),
inference(resolve,[$cnf( $equal(multiplication(one,X_1071),addition(X_1071,multiplication(coantidomain(X_7),X_1071))) )],[refute_0_1014,refute_0_1016]) ).
cnf(refute_0_1018,plain,
one = addition(one,multiplication(coantidomain(X_7),one)),
inference(subst,[],[refute_0_1017:[bind(X_1071,$fot(one))]]) ).
cnf(refute_0_1019,plain,
( one != addition(one,multiplication(coantidomain(X_7),one))
| addition(one,multiplication(coantidomain(X_7),one)) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(addition(one,multiplication(coantidomain(X_7),one))))]]) ).
cnf(refute_0_1020,plain,
addition(one,multiplication(coantidomain(X_7),one)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,multiplication(coantidomain(X_7),one))) )],[refute_0_1018,refute_0_1019]) ).
cnf(refute_0_1021,plain,
( addition(one,multiplication(coantidomain(X_7),one)) != one
| multiplication(X_1717,addition(one,multiplication(coantidomain(X_7),one))) != addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one)))
| multiplication(X_1717,one) = addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_1717,addition(one,multiplication(coantidomain(X_7),one))),addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_1022,plain,
( multiplication(X_1717,addition(one,multiplication(coantidomain(X_7),one))) != addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one)))
| multiplication(X_1717,one) = addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(coantidomain(X_7),one)),one) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
multiplication(X_1717,one) = addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))),
inference(resolve,[$cnf( $equal(multiplication(X_1717,addition(one,multiplication(coantidomain(X_7),one))),addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one)))) )],[refute_0_1010,refute_0_1022]) ).
cnf(refute_0_1024,plain,
( multiplication(X_1717,one) != X_1717
| multiplication(X_1717,one) != addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one)))
| X_1717 = addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_1717,one),addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one)))) ),[0],$fot(X_1717)]]) ).
cnf(refute_0_1025,plain,
( multiplication(X_1717,one) != addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one)))
| X_1717 = addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))) ),
inference(resolve,[$cnf( $equal(multiplication(X_1717,one),X_1717) )],[refute_0_668,refute_0_1024]) ).
cnf(refute_0_1026,plain,
multiplication(coantidomain(X_7),one) = coantidomain(X_7),
inference(subst,[],[refute_0_13:[bind(A,$fot(coantidomain(X_7)))]]) ).
cnf(refute_0_1027,plain,
multiplication(X_1717,multiplication(coantidomain(X_7),one)) = multiplication(X_1717,multiplication(coantidomain(X_7),one)),
introduced(tautology,[refl,[$fot(multiplication(X_1717,multiplication(coantidomain(X_7),one)))]]) ).
cnf(refute_0_1028,plain,
( multiplication(X_1717,multiplication(coantidomain(X_7),one)) != multiplication(X_1717,multiplication(coantidomain(X_7),one))
| multiplication(coantidomain(X_7),one) != coantidomain(X_7)
| multiplication(X_1717,multiplication(coantidomain(X_7),one)) = multiplication(X_1717,coantidomain(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_1717,multiplication(coantidomain(X_7),one)),multiplication(X_1717,multiplication(coantidomain(X_7),one))) ),[1,1],$fot(coantidomain(X_7))]]) ).
cnf(refute_0_1029,plain,
( multiplication(coantidomain(X_7),one) != coantidomain(X_7)
| multiplication(X_1717,multiplication(coantidomain(X_7),one)) = multiplication(X_1717,coantidomain(X_7)) ),
inference(resolve,[$cnf( $equal(multiplication(X_1717,multiplication(coantidomain(X_7),one)),multiplication(X_1717,multiplication(coantidomain(X_7),one))) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
multiplication(X_1717,multiplication(coantidomain(X_7),one)) = multiplication(X_1717,coantidomain(X_7)),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(X_7),one),coantidomain(X_7)) )],[refute_0_1026,refute_0_1029]) ).
cnf(refute_0_1031,plain,
addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))) = addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))),
introduced(tautology,[refl,[$fot(addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))))]]) ).
cnf(refute_0_1032,plain,
( addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))) != addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one)))
| multiplication(X_1717,multiplication(coantidomain(X_7),one)) != multiplication(X_1717,coantidomain(X_7))
| addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))) = addition(X_1717,multiplication(X_1717,coantidomain(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))),addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one)))) ),[1,1],$fot(multiplication(X_1717,coantidomain(X_7)))]]) ).
cnf(refute_0_1033,plain,
( multiplication(X_1717,multiplication(coantidomain(X_7),one)) != multiplication(X_1717,coantidomain(X_7))
| addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))) = addition(X_1717,multiplication(X_1717,coantidomain(X_7))) ),
inference(resolve,[$cnf( $equal(addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))),addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one)))) )],[refute_0_1031,refute_0_1032]) ).
cnf(refute_0_1034,plain,
addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))) = addition(X_1717,multiplication(X_1717,coantidomain(X_7))),
inference(resolve,[$cnf( $equal(multiplication(X_1717,multiplication(coantidomain(X_7),one)),multiplication(X_1717,coantidomain(X_7))) )],[refute_0_1030,refute_0_1033]) ).
cnf(refute_0_1035,plain,
( X_1717 != addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one)))
| addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))) != addition(X_1717,multiplication(X_1717,coantidomain(X_7)))
| X_1717 = addition(X_1717,multiplication(X_1717,coantidomain(X_7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_1717,addition(X_1717,multiplication(X_1717,coantidomain(X_7)))) ),[0],$fot(addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))))]]) ).
cnf(refute_0_1036,plain,
( X_1717 != addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one)))
| X_1717 = addition(X_1717,multiplication(X_1717,coantidomain(X_7))) ),
inference(resolve,[$cnf( $equal(addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one))),addition(X_1717,multiplication(X_1717,coantidomain(X_7)))) )],[refute_0_1034,refute_0_1035]) ).
cnf(refute_0_1037,plain,
( multiplication(X_1717,one) != addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one)))
| X_1717 = addition(X_1717,multiplication(X_1717,coantidomain(X_7))) ),
inference(resolve,[$cnf( $equal(X_1717,addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one)))) )],[refute_0_1025,refute_0_1036]) ).
cnf(refute_0_1038,plain,
X_1717 = addition(X_1717,multiplication(X_1717,coantidomain(X_7))),
inference(resolve,[$cnf( $equal(multiplication(X_1717,one),addition(X_1717,multiplication(X_1717,multiplication(coantidomain(X_7),one)))) )],[refute_0_1023,refute_0_1037]) ).
cnf(refute_0_1039,plain,
antidomain(X0) = addition(antidomain(X0),multiplication(antidomain(X0),coantidomain(domain(X0)))),
inference(subst,[],[refute_0_1038:[bind(X_1717,$fot(antidomain(X0))),bind(X_7,$fot(domain(X0)))]]) ).
cnf(refute_0_1040,plain,
multiplication(addition(antidomain(X0),domain(X0)),coantidomain(domain(X0))) = multiplication(antidomain(X0),coantidomain(domain(X0))),
inference(subst,[],[refute_0_584:[bind(X_268,$fot(antidomain(X0))),bind(X_269,$fot(domain(X0)))]]) ).
cnf(refute_0_1041,plain,
( addition(antidomain(X0),domain(X0)) != one
| multiplication(addition(antidomain(X0),domain(X0)),coantidomain(domain(X0))) != multiplication(antidomain(X0),coantidomain(domain(X0)))
| multiplication(one,coantidomain(domain(X0))) = multiplication(antidomain(X0),coantidomain(domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X0),domain(X0)),coantidomain(domain(X0))),multiplication(antidomain(X0),coantidomain(domain(X0)))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_1042,plain,
( multiplication(addition(antidomain(X0),domain(X0)),coantidomain(domain(X0))) != multiplication(antidomain(X0),coantidomain(domain(X0)))
| multiplication(one,coantidomain(domain(X0))) = multiplication(antidomain(X0),coantidomain(domain(X0))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_507,refute_0_1041]) ).
cnf(refute_0_1043,plain,
multiplication(one,coantidomain(domain(X0))) = multiplication(antidomain(X0),coantidomain(domain(X0))),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X0),domain(X0)),coantidomain(domain(X0))),multiplication(antidomain(X0),coantidomain(domain(X0)))) )],[refute_0_1040,refute_0_1042]) ).
cnf(refute_0_1044,plain,
multiplication(one,coantidomain(domain(X0))) = coantidomain(domain(X0)),
inference(subst,[],[refute_0_88:[bind(A,$fot(coantidomain(domain(X0))))]]) ).
cnf(refute_0_1045,plain,
( multiplication(one,coantidomain(domain(X0))) != coantidomain(domain(X0))
| multiplication(one,coantidomain(domain(X0))) != multiplication(antidomain(X0),coantidomain(domain(X0)))
| coantidomain(domain(X0)) = multiplication(antidomain(X0),coantidomain(domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,coantidomain(domain(X0))),multiplication(antidomain(X0),coantidomain(domain(X0)))) ),[0],$fot(coantidomain(domain(X0)))]]) ).
cnf(refute_0_1046,plain,
( multiplication(one,coantidomain(domain(X0))) != multiplication(antidomain(X0),coantidomain(domain(X0)))
| coantidomain(domain(X0)) = multiplication(antidomain(X0),coantidomain(domain(X0))) ),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(domain(X0))),coantidomain(domain(X0))) )],[refute_0_1044,refute_0_1045]) ).
cnf(refute_0_1047,plain,
coantidomain(domain(X0)) = multiplication(antidomain(X0),coantidomain(domain(X0))),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(domain(X0))),multiplication(antidomain(X0),coantidomain(domain(X0)))) )],[refute_0_1043,refute_0_1046]) ).
cnf(refute_0_1048,plain,
( coantidomain(domain(X0)) != multiplication(antidomain(X0),coantidomain(domain(X0)))
| multiplication(antidomain(X0),coantidomain(domain(X0))) = coantidomain(domain(X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(coantidomain(domain(X0)))),bind(Y,$fot(multiplication(antidomain(X0),coantidomain(domain(X0)))))]]) ).
cnf(refute_0_1049,plain,
multiplication(antidomain(X0),coantidomain(domain(X0))) = coantidomain(domain(X0)),
inference(resolve,[$cnf( $equal(coantidomain(domain(X0)),multiplication(antidomain(X0),coantidomain(domain(X0)))) )],[refute_0_1047,refute_0_1048]) ).
cnf(refute_0_1050,plain,
( antidomain(X0) != addition(antidomain(X0),multiplication(antidomain(X0),coantidomain(domain(X0))))
| multiplication(antidomain(X0),coantidomain(domain(X0))) != coantidomain(domain(X0))
| antidomain(X0) = addition(antidomain(X0),coantidomain(domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(X0),addition(antidomain(X0),multiplication(antidomain(X0),coantidomain(domain(X0))))) ),[1,1],$fot(coantidomain(domain(X0)))]]) ).
cnf(refute_0_1051,plain,
( antidomain(X0) != addition(antidomain(X0),multiplication(antidomain(X0),coantidomain(domain(X0))))
| antidomain(X0) = addition(antidomain(X0),coantidomain(domain(X0))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X0),coantidomain(domain(X0))),coantidomain(domain(X0))) )],[refute_0_1049,refute_0_1050]) ).
cnf(refute_0_1052,plain,
antidomain(X0) = addition(antidomain(X0),coantidomain(domain(X0))),
inference(resolve,[$cnf( $equal(antidomain(X0),addition(antidomain(X0),multiplication(antidomain(X0),coantidomain(domain(X0))))) )],[refute_0_1039,refute_0_1051]) ).
cnf(refute_0_1053,plain,
antidomain(antidomain(X_4)) = addition(antidomain(antidomain(X_4)),coantidomain(domain(antidomain(X_4)))),
inference(subst,[],[refute_0_1052:[bind(X0,$fot(antidomain(X_4)))]]) ).
cnf(refute_0_1054,plain,
c(X_4) = antidomain(X_4),
inference(subst,[],[refute_0_996:[bind(X_449,$fot(X_4))]]) ).
cnf(refute_0_1055,plain,
( c(X_4) != antidomain(X_4)
| domain(antidomain(X_4)) != c(X_4)
| domain(antidomain(X_4)) = antidomain(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_4)),c(X_4)) ),[1],$fot(antidomain(X_4))]]) ).
cnf(refute_0_1056,plain,
( domain(antidomain(X_4)) != c(X_4)
| domain(antidomain(X_4)) = antidomain(X_4) ),
inference(resolve,[$cnf( $equal(c(X_4),antidomain(X_4)) )],[refute_0_1054,refute_0_1055]) ).
cnf(refute_0_1057,plain,
domain(antidomain(X_4)) = antidomain(X_4),
inference(resolve,[$cnf( $equal(domain(antidomain(X_4)),c(X_4)) )],[refute_0_627,refute_0_1056]) ).
cnf(refute_0_1058,plain,
( antidomain(antidomain(X_4)) != addition(antidomain(antidomain(X_4)),coantidomain(domain(antidomain(X_4))))
| domain(antidomain(X_4)) != antidomain(X_4)
| antidomain(antidomain(X_4)) = addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(antidomain(X_4)),addition(antidomain(antidomain(X_4)),coantidomain(domain(antidomain(X_4))))) ),[1,1,0],$fot(antidomain(X_4))]]) ).
cnf(refute_0_1059,plain,
( antidomain(antidomain(X_4)) != addition(antidomain(antidomain(X_4)),coantidomain(domain(antidomain(X_4))))
| antidomain(antidomain(X_4)) = addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_4)),antidomain(X_4)) )],[refute_0_1057,refute_0_1058]) ).
cnf(refute_0_1060,plain,
antidomain(antidomain(X_4)) = addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_4)),addition(antidomain(antidomain(X_4)),coantidomain(domain(antidomain(X_4))))) )],[refute_0_1053,refute_0_1059]) ).
cnf(refute_0_1061,plain,
( antidomain(antidomain(X_4)) != addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4)))
| antidomain(antidomain(X_4)) != domain(X_4)
| domain(X_4) = addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(antidomain(X_4)),addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4)))) ),[0],$fot(domain(X_4))]]) ).
cnf(refute_0_1062,plain,
( antidomain(antidomain(X_4)) != addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4)))
| domain(X_4) = addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4))) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_4)),domain(X_4)) )],[refute_0_617,refute_0_1061]) ).
cnf(refute_0_1063,plain,
addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4))) = addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4))),
introduced(tautology,[refl,[$fot(addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4))))]]) ).
cnf(refute_0_1064,plain,
( addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4))) != addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4)))
| antidomain(antidomain(X_4)) != domain(X_4)
| addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4))) = addition(domain(X_4),coantidomain(antidomain(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4))),addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4)))) ),[1,0],$fot(domain(X_4))]]) ).
cnf(refute_0_1065,plain,
( antidomain(antidomain(X_4)) != domain(X_4)
| addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4))) = addition(domain(X_4),coantidomain(antidomain(X_4))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4))),addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4)))) )],[refute_0_1063,refute_0_1064]) ).
cnf(refute_0_1066,plain,
addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4))) = addition(domain(X_4),coantidomain(antidomain(X_4))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_4)),domain(X_4)) )],[refute_0_617,refute_0_1065]) ).
cnf(refute_0_1067,plain,
( addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4))) != addition(domain(X_4),coantidomain(antidomain(X_4)))
| domain(X_4) != addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4)))
| domain(X_4) = addition(domain(X_4),coantidomain(antidomain(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(X_4),addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4)))) ),[1],$fot(addition(domain(X_4),coantidomain(antidomain(X_4))))]]) ).
cnf(refute_0_1068,plain,
( domain(X_4) != addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4)))
| domain(X_4) = addition(domain(X_4),coantidomain(antidomain(X_4))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4))),addition(domain(X_4),coantidomain(antidomain(X_4)))) )],[refute_0_1066,refute_0_1067]) ).
cnf(refute_0_1069,plain,
( antidomain(antidomain(X_4)) != addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4)))
| domain(X_4) = addition(domain(X_4),coantidomain(antidomain(X_4))) ),
inference(resolve,[$cnf( $equal(domain(X_4),addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4)))) )],[refute_0_1062,refute_0_1068]) ).
cnf(refute_0_1070,plain,
domain(X_4) = addition(domain(X_4),coantidomain(antidomain(X_4))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_4)),addition(antidomain(antidomain(X_4)),coantidomain(antidomain(X_4)))) )],[refute_0_1060,refute_0_1069]) ).
cnf(refute_0_1071,plain,
( domain(X_4) != addition(domain(X_4),coantidomain(antidomain(X_4)))
| addition(domain(X_4),coantidomain(antidomain(X_4))) = domain(X_4) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(domain(X_4))),bind(Y,$fot(addition(domain(X_4),coantidomain(antidomain(X_4)))))]]) ).
cnf(refute_0_1072,plain,
addition(domain(X_4),coantidomain(antidomain(X_4))) = domain(X_4),
inference(resolve,[$cnf( $equal(domain(X_4),addition(domain(X_4),coantidomain(antidomain(X_4)))) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
addition(domain(X_128),coantidomain(antidomain(X_128))) = domain(X_128),
inference(subst,[],[refute_0_1072:[bind(X_4,$fot(X_128))]]) ).
cnf(refute_0_1074,plain,
addition(domain(X_128),coantidomain(antidomain(domain(X_128)))) = addition(domain(X_128),coantidomain(antidomain(domain(X_128)))),
introduced(tautology,[refl,[$fot(addition(domain(X_128),coantidomain(antidomain(domain(X_128)))))]]) ).
cnf(refute_0_1075,plain,
( addition(domain(X_128),coantidomain(antidomain(domain(X_128)))) != addition(domain(X_128),coantidomain(antidomain(domain(X_128))))
| coantidomain(antidomain(domain(X_128))) != coantidomain(antidomain(X_128))
| addition(domain(X_128),coantidomain(antidomain(domain(X_128)))) = addition(domain(X_128),coantidomain(antidomain(X_128))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_128),coantidomain(antidomain(domain(X_128)))),addition(domain(X_128),coantidomain(antidomain(domain(X_128))))) ),[1,1],$fot(coantidomain(antidomain(X_128)))]]) ).
cnf(refute_0_1076,plain,
( coantidomain(antidomain(domain(X_128))) != coantidomain(antidomain(X_128))
| addition(domain(X_128),coantidomain(antidomain(domain(X_128)))) = addition(domain(X_128),coantidomain(antidomain(X_128))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_128),coantidomain(antidomain(domain(X_128)))),addition(domain(X_128),coantidomain(antidomain(domain(X_128))))) )],[refute_0_1074,refute_0_1075]) ).
cnf(refute_0_1077,plain,
addition(domain(X_128),coantidomain(antidomain(domain(X_128)))) = addition(domain(X_128),coantidomain(antidomain(X_128))),
inference(resolve,[$cnf( $equal(coantidomain(antidomain(domain(X_128))),coantidomain(antidomain(X_128))) )],[refute_0_1007,refute_0_1076]) ).
cnf(refute_0_1078,plain,
( addition(domain(X_128),coantidomain(antidomain(X_128))) != domain(X_128)
| addition(domain(X_128),coantidomain(antidomain(domain(X_128)))) != addition(domain(X_128),coantidomain(antidomain(X_128)))
| addition(domain(X_128),coantidomain(antidomain(domain(X_128)))) = domain(X_128) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(addition(domain(X_128),coantidomain(antidomain(domain(X_128)))))),bind(Y,$fot(addition(domain(X_128),coantidomain(antidomain(X_128))))),bind(Z,$fot(domain(X_128)))]]) ).
cnf(refute_0_1079,plain,
( addition(domain(X_128),coantidomain(antidomain(X_128))) != domain(X_128)
| addition(domain(X_128),coantidomain(antidomain(domain(X_128)))) = domain(X_128) ),
inference(resolve,[$cnf( $equal(addition(domain(X_128),coantidomain(antidomain(domain(X_128)))),addition(domain(X_128),coantidomain(antidomain(X_128)))) )],[refute_0_1077,refute_0_1078]) ).
cnf(refute_0_1080,plain,
addition(domain(X_128),coantidomain(antidomain(domain(X_128)))) = domain(X_128),
inference(resolve,[$cnf( $equal(addition(domain(X_128),coantidomain(antidomain(X_128))),domain(X_128)) )],[refute_0_1073,refute_0_1079]) ).
cnf(refute_0_1081,plain,
multiplication(X_140,addition(X_141,one)) = addition(multiplication(X_140,X_141),multiplication(X_140,one)),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_140)),bind(B,$fot(X_141)),bind(C,$fot(one))]]) ).
cnf(refute_0_1082,plain,
( multiplication(X_140,addition(X_141,one)) != addition(multiplication(X_140,X_141),multiplication(X_140,one))
| multiplication(X_140,one) != X_140
| multiplication(X_140,addition(X_141,one)) = addition(multiplication(X_140,X_141),X_140) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_140,addition(X_141,one)),addition(multiplication(X_140,X_141),multiplication(X_140,one))) ),[1,1],$fot(X_140)]]) ).
cnf(refute_0_1083,plain,
( multiplication(X_140,addition(X_141,one)) != addition(multiplication(X_140,X_141),multiplication(X_140,one))
| multiplication(X_140,addition(X_141,one)) = addition(multiplication(X_140,X_141),X_140) ),
inference(resolve,[$cnf( $equal(multiplication(X_140,one),X_140) )],[refute_0_606,refute_0_1082]) ).
cnf(refute_0_1084,plain,
multiplication(X_140,addition(X_141,one)) = addition(multiplication(X_140,X_141),X_140),
inference(resolve,[$cnf( $equal(multiplication(X_140,addition(X_141,one)),addition(multiplication(X_140,X_141),multiplication(X_140,one))) )],[refute_0_1081,refute_0_1083]) ).
cnf(refute_0_1085,plain,
addition(multiplication(X_140,X_141),X_140) = addition(X_140,multiplication(X_140,X_141)),
inference(subst,[],[refute_0_6:[bind(A,$fot(X_140)),bind(B,$fot(multiplication(X_140,X_141)))]]) ).
cnf(refute_0_1086,plain,
( addition(multiplication(X_140,X_141),X_140) != addition(X_140,multiplication(X_140,X_141))
| multiplication(X_140,addition(X_141,one)) != addition(multiplication(X_140,X_141),X_140)
| multiplication(X_140,addition(X_141,one)) = addition(X_140,multiplication(X_140,X_141)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_140,addition(X_141,one)),addition(multiplication(X_140,X_141),X_140)) ),[1],$fot(addition(X_140,multiplication(X_140,X_141)))]]) ).
cnf(refute_0_1087,plain,
( multiplication(X_140,addition(X_141,one)) != addition(multiplication(X_140,X_141),X_140)
| multiplication(X_140,addition(X_141,one)) = addition(X_140,multiplication(X_140,X_141)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_140,X_141),X_140),addition(X_140,multiplication(X_140,X_141))) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
multiplication(X_140,addition(X_141,one)) = addition(X_140,multiplication(X_140,X_141)),
inference(resolve,[$cnf( $equal(multiplication(X_140,addition(X_141,one)),addition(multiplication(X_140,X_141),X_140)) )],[refute_0_1084,refute_0_1087]) ).
cnf(refute_0_1089,plain,
multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)) = addition(addition(X_268,X_269),multiplication(addition(X_268,X_269),coantidomain(X_269))),
inference(subst,[],[refute_0_1088:[bind(X_140,$fot(addition(X_268,X_269))),bind(X_141,$fot(coantidomain(X_269)))]]) ).
cnf(refute_0_1090,plain,
( multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)) != addition(addition(X_268,X_269),multiplication(addition(X_268,X_269),coantidomain(X_269)))
| multiplication(addition(X_268,X_269),coantidomain(X_269)) != multiplication(X_268,coantidomain(X_269))
| multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)) = addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)),addition(addition(X_268,X_269),multiplication(addition(X_268,X_269),coantidomain(X_269)))) ),[1,1],$fot(multiplication(X_268,coantidomain(X_269)))]]) ).
cnf(refute_0_1091,plain,
( multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)) != addition(addition(X_268,X_269),multiplication(addition(X_268,X_269),coantidomain(X_269)))
| multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)) = addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,X_269),coantidomain(X_269)),multiplication(X_268,coantidomain(X_269))) )],[refute_0_584,refute_0_1090]) ).
cnf(refute_0_1092,plain,
multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)) = addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)),addition(addition(X_268,X_269),multiplication(addition(X_268,X_269),coantidomain(X_269)))) )],[refute_0_1089,refute_0_1091]) ).
cnf(refute_0_1093,plain,
multiplication(addition(X_268,X_269),one) = addition(X_268,X_269),
inference(subst,[],[refute_0_13:[bind(A,$fot(addition(X_268,X_269)))]]) ).
cnf(refute_0_1094,plain,
addition(one,coantidomain(X_269)) = one,
inference(subst,[],[refute_0_235:[bind(X_7,$fot(X_269))]]) ).
cnf(refute_0_1095,plain,
multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))) = multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))),
introduced(tautology,[refl,[$fot(multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))))]]) ).
cnf(refute_0_1096,plain,
( addition(one,coantidomain(X_269)) != one
| multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))) != multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269)))
| multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))) = multiplication(addition(X_268,X_269),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))),multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1097,plain,
( addition(one,coantidomain(X_269)) != one
| multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))) = multiplication(addition(X_268,X_269),one) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))),multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269)))) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))) = multiplication(addition(X_268,X_269),one),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(X_269)),one) )],[refute_0_1094,refute_0_1097]) ).
cnf(refute_0_1099,plain,
( multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))) != multiplication(addition(X_268,X_269),one)
| multiplication(addition(X_268,X_269),one) != addition(X_268,X_269)
| multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))) = addition(X_268,X_269) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))))),bind(Y,$fot(multiplication(addition(X_268,X_269),one))),bind(Z,$fot(addition(X_268,X_269)))]]) ).
cnf(refute_0_1100,plain,
( multiplication(addition(X_268,X_269),one) != addition(X_268,X_269)
| multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))) = addition(X_268,X_269) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))),multiplication(addition(X_268,X_269),one)) )],[refute_0_1098,refute_0_1099]) ).
cnf(refute_0_1101,plain,
multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))) = addition(X_268,X_269),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,X_269),one),addition(X_268,X_269)) )],[refute_0_1093,refute_0_1100]) ).
cnf(refute_0_1102,plain,
multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(X_1648,one)) = addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648)),
inference(subst,[],[refute_0_1088:[bind(X_140,$fot(addition(antidomain(addition(X_1648,one)),X_269))),bind(X_141,$fot(X_1648))]]) ).
cnf(refute_0_1103,plain,
multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(X_1648,one)) = multiplication(X_269,addition(X_1648,one)),
inference(subst,[],[refute_0_411:[bind(X_270,$fot(addition(X_1648,one)))]]) ).
cnf(refute_0_1104,plain,
( multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(X_1648,one)) != addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648))
| multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(X_1648,one)) != multiplication(X_269,addition(X_1648,one))
| multiplication(X_269,addition(X_1648,one)) = addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(X_1648,one)),addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648))) ),[0],$fot(multiplication(X_269,addition(X_1648,one)))]]) ).
cnf(refute_0_1105,plain,
( multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(X_1648,one)) != addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648))
| multiplication(X_269,addition(X_1648,one)) = addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(X_1648,one)),multiplication(X_269,addition(X_1648,one))) )],[refute_0_1103,refute_0_1104]) ).
cnf(refute_0_1106,plain,
multiplication(X_269,addition(X_1648,one)) = addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648)),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(X_1648,one)),addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648))) )],[refute_0_1102,refute_0_1105]) ).
cnf(refute_0_1107,plain,
addition(zero,X_269) = X_269,
inference(subst,[],[refute_0_407:[bind(A,$fot(X_269))]]) ).
cnf(refute_0_1108,plain,
multiplication(antidomain(addition(one,X_306)),one) = antidomain(addition(one,X_306)),
inference(subst,[],[refute_0_13:[bind(A,$fot(antidomain(addition(one,X_306))))]]) ).
cnf(refute_0_1109,plain,
multiplication(antidomain(addition(X_303,X_103)),addition(X_303,addition(X_303,X_103))) = multiplication(antidomain(addition(X_303,X_103)),X_303),
inference(subst,[],[refute_0_916:[bind(X_141,$fot(X_303)),bind(X_142,$fot(addition(X_303,X_103)))]]) ).
cnf(refute_0_1110,plain,
addition(X_303,addition(X_303,X_103)) = addition(X_303,X_103),
inference(subst,[],[refute_0_361:[bind(X_102,$fot(X_303))]]) ).
cnf(refute_0_1111,plain,
( addition(X_303,addition(X_303,X_103)) != addition(X_303,X_103)
| multiplication(antidomain(addition(X_303,X_103)),addition(X_303,addition(X_303,X_103))) != multiplication(antidomain(addition(X_303,X_103)),X_303)
| multiplication(antidomain(addition(X_303,X_103)),addition(X_303,X_103)) = multiplication(antidomain(addition(X_303,X_103)),X_303) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(X_303,X_103)),addition(X_303,addition(X_303,X_103))),multiplication(antidomain(addition(X_303,X_103)),X_303)) ),[0,1],$fot(addition(X_303,X_103))]]) ).
cnf(refute_0_1112,plain,
( multiplication(antidomain(addition(X_303,X_103)),addition(X_303,addition(X_303,X_103))) != multiplication(antidomain(addition(X_303,X_103)),X_303)
| multiplication(antidomain(addition(X_303,X_103)),addition(X_303,X_103)) = multiplication(antidomain(addition(X_303,X_103)),X_303) ),
inference(resolve,[$cnf( $equal(addition(X_303,addition(X_303,X_103)),addition(X_303,X_103)) )],[refute_0_1110,refute_0_1111]) ).
cnf(refute_0_1113,plain,
multiplication(antidomain(addition(X_303,X_103)),addition(X_303,X_103)) = multiplication(antidomain(addition(X_303,X_103)),X_303),
inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(X_303,X_103)),addition(X_303,addition(X_303,X_103))),multiplication(antidomain(addition(X_303,X_103)),X_303)) )],[refute_0_1109,refute_0_1112]) ).
cnf(refute_0_1114,plain,
multiplication(antidomain(addition(X_303,X_103)),addition(X_303,X_103)) = zero,
inference(subst,[],[refute_0_399:[bind(X0,$fot(addition(X_303,X_103)))]]) ).
cnf(refute_0_1115,plain,
( multiplication(antidomain(addition(X_303,X_103)),addition(X_303,X_103)) != multiplication(antidomain(addition(X_303,X_103)),X_303)
| multiplication(antidomain(addition(X_303,X_103)),addition(X_303,X_103)) != zero
| zero = multiplication(antidomain(addition(X_303,X_103)),X_303) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(X_303,X_103)),addition(X_303,X_103)),multiplication(antidomain(addition(X_303,X_103)),X_303)) ),[0],$fot(zero)]]) ).
cnf(refute_0_1116,plain,
( multiplication(antidomain(addition(X_303,X_103)),addition(X_303,X_103)) != multiplication(antidomain(addition(X_303,X_103)),X_303)
| zero = multiplication(antidomain(addition(X_303,X_103)),X_303) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(X_303,X_103)),addition(X_303,X_103)),zero) )],[refute_0_1114,refute_0_1115]) ).
cnf(refute_0_1117,plain,
zero = multiplication(antidomain(addition(X_303,X_103)),X_303),
inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(X_303,X_103)),addition(X_303,X_103)),multiplication(antidomain(addition(X_303,X_103)),X_303)) )],[refute_0_1113,refute_0_1116]) ).
cnf(refute_0_1118,plain,
zero = multiplication(antidomain(addition(one,X_306)),one),
inference(subst,[],[refute_0_1117:[bind(X_103,$fot(X_306)),bind(X_303,$fot(one))]]) ).
cnf(refute_0_1119,plain,
( zero != multiplication(antidomain(addition(one,X_306)),one)
| multiplication(antidomain(addition(one,X_306)),one) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(antidomain(addition(one,X_306)),one)))]]) ).
cnf(refute_0_1120,plain,
multiplication(antidomain(addition(one,X_306)),one) = zero,
inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(addition(one,X_306)),one)) )],[refute_0_1118,refute_0_1119]) ).
cnf(refute_0_1121,plain,
( multiplication(antidomain(addition(one,X_306)),one) != antidomain(addition(one,X_306))
| multiplication(antidomain(addition(one,X_306)),one) != zero
| zero = antidomain(addition(one,X_306)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(addition(one,X_306)),one),antidomain(addition(one,X_306))) ),[0],$fot(zero)]]) ).
cnf(refute_0_1122,plain,
( multiplication(antidomain(addition(one,X_306)),one) != antidomain(addition(one,X_306))
| zero = antidomain(addition(one,X_306)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(one,X_306)),one),zero) )],[refute_0_1120,refute_0_1121]) ).
cnf(refute_0_1123,plain,
zero = antidomain(addition(one,X_306)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(addition(one,X_306)),one),antidomain(addition(one,X_306))) )],[refute_0_1108,refute_0_1122]) ).
cnf(refute_0_1124,plain,
zero = antidomain(addition(one,addition(X_102,one))),
inference(subst,[],[refute_0_1123:[bind(X_306,$fot(addition(X_102,one)))]]) ).
cnf(refute_0_1125,plain,
addition(X_102,one) = addition(one,addition(X_102,one)),
inference(subst,[],[refute_0_368:[bind(X_103,$fot(one))]]) ).
cnf(refute_0_1126,plain,
( addition(X_102,one) != addition(one,addition(X_102,one))
| addition(one,addition(X_102,one)) = addition(X_102,one) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_102,one))),bind(Y,$fot(addition(one,addition(X_102,one))))]]) ).
cnf(refute_0_1127,plain,
addition(one,addition(X_102,one)) = addition(X_102,one),
inference(resolve,[$cnf( $equal(addition(X_102,one),addition(one,addition(X_102,one))) )],[refute_0_1125,refute_0_1126]) ).
cnf(refute_0_1128,plain,
( addition(one,addition(X_102,one)) != addition(X_102,one)
| zero != antidomain(addition(one,addition(X_102,one)))
| zero = antidomain(addition(X_102,one)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,antidomain(addition(one,addition(X_102,one)))) ),[1,0],$fot(addition(X_102,one))]]) ).
cnf(refute_0_1129,plain,
( zero != antidomain(addition(one,addition(X_102,one)))
| zero = antidomain(addition(X_102,one)) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_102,one)),addition(X_102,one)) )],[refute_0_1127,refute_0_1128]) ).
cnf(refute_0_1130,plain,
zero = antidomain(addition(X_102,one)),
inference(resolve,[$cnf( $equal(zero,antidomain(addition(one,addition(X_102,one)))) )],[refute_0_1124,refute_0_1129]) ).
cnf(refute_0_1131,plain,
( zero != antidomain(addition(X_102,one))
| antidomain(addition(X_102,one)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(antidomain(addition(X_102,one))))]]) ).
cnf(refute_0_1132,plain,
antidomain(addition(X_102,one)) = zero,
inference(resolve,[$cnf( $equal(zero,antidomain(addition(X_102,one))) )],[refute_0_1130,refute_0_1131]) ).
cnf(refute_0_1133,plain,
antidomain(addition(X_1648,one)) = zero,
inference(subst,[],[refute_0_1132:[bind(X_102,$fot(X_1648))]]) ).
cnf(refute_0_1134,plain,
addition(antidomain(addition(X_1648,one)),X_269) = addition(antidomain(addition(X_1648,one)),X_269),
introduced(tautology,[refl,[$fot(addition(antidomain(addition(X_1648,one)),X_269))]]) ).
cnf(refute_0_1135,plain,
( addition(antidomain(addition(X_1648,one)),X_269) != addition(antidomain(addition(X_1648,one)),X_269)
| antidomain(addition(X_1648,one)) != zero
| addition(antidomain(addition(X_1648,one)),X_269) = addition(zero,X_269) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(addition(X_1648,one)),X_269),addition(antidomain(addition(X_1648,one)),X_269)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1136,plain,
( antidomain(addition(X_1648,one)) != zero
| addition(antidomain(addition(X_1648,one)),X_269) = addition(zero,X_269) ),
inference(resolve,[$cnf( $equal(addition(antidomain(addition(X_1648,one)),X_269),addition(antidomain(addition(X_1648,one)),X_269)) )],[refute_0_1134,refute_0_1135]) ).
cnf(refute_0_1137,plain,
addition(antidomain(addition(X_1648,one)),X_269) = addition(zero,X_269),
inference(resolve,[$cnf( $equal(antidomain(addition(X_1648,one)),zero) )],[refute_0_1133,refute_0_1136]) ).
cnf(refute_0_1138,plain,
( addition(antidomain(addition(X_1648,one)),X_269) != addition(zero,X_269)
| addition(zero,X_269) != X_269
| addition(antidomain(addition(X_1648,one)),X_269) = X_269 ),
inference(subst,[],[refute_0_139:[bind(X,$fot(addition(antidomain(addition(X_1648,one)),X_269))),bind(Y,$fot(addition(zero,X_269))),bind(Z,$fot(X_269))]]) ).
cnf(refute_0_1139,plain,
( addition(zero,X_269) != X_269
| addition(antidomain(addition(X_1648,one)),X_269) = X_269 ),
inference(resolve,[$cnf( $equal(addition(antidomain(addition(X_1648,one)),X_269),addition(zero,X_269)) )],[refute_0_1137,refute_0_1138]) ).
cnf(refute_0_1140,plain,
addition(antidomain(addition(X_1648,one)),X_269) = X_269,
inference(resolve,[$cnf( $equal(addition(zero,X_269),X_269) )],[refute_0_1107,refute_0_1139]) ).
cnf(refute_0_1141,plain,
multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648)) = multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648)),
introduced(tautology,[refl,[$fot(multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648)))]]) ).
cnf(refute_0_1142,plain,
( addition(antidomain(addition(X_1648,one)),X_269) != X_269
| multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648)) != multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648))
| multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648)) = multiplication(X_269,addition(one,X_1648)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648)),multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648))) ),[1,0],$fot(X_269)]]) ).
cnf(refute_0_1143,plain,
( addition(antidomain(addition(X_1648,one)),X_269) != X_269
| multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648)) = multiplication(X_269,addition(one,X_1648)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648)),multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648))) )],[refute_0_1141,refute_0_1142]) ).
cnf(refute_0_1144,plain,
multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648)) = multiplication(X_269,addition(one,X_1648)),
inference(resolve,[$cnf( $equal(addition(antidomain(addition(X_1648,one)),X_269),X_269) )],[refute_0_1140,refute_0_1143]) ).
cnf(refute_0_1145,plain,
multiplication(A,addition(antidomain(codomain(A)),C)) = addition(multiplication(A,antidomain(codomain(A))),multiplication(A,C)),
inference(subst,[],[refute_0_28:[bind(B,$fot(antidomain(codomain(A))))]]) ).
cnf(refute_0_1146,plain,
multiplication(X_1197,addition(coantidomain(X_1197),antidomain(codomain(X_1197)))) = multiplication(X_1197,antidomain(codomain(X_1197))),
inference(subst,[],[refute_0_539:[bind(X_140,$fot(X_1197)),bind(X_142,$fot(antidomain(codomain(X_1197))))]]) ).
cnf(refute_0_1147,plain,
multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)) = addition(coantidomain(X_314),multiplication(antidomain(codomain(X_314)),coantidomain(X_314))),
inference(subst,[],[refute_0_96:[bind(X_268,$fot(antidomain(codomain(X_314)))),bind(X_270,$fot(coantidomain(X_314)))]]) ).
cnf(refute_0_1148,plain,
multiplication(antidomain(codomain(X0)),addition(coantidomain(X0),codomain(X0))) = multiplication(antidomain(codomain(X0)),coantidomain(X0)),
inference(subst,[],[refute_0_916:[bind(X_141,$fot(coantidomain(X0))),bind(X_142,$fot(codomain(X0)))]]) ).
cnf(refute_0_1149,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_1150,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( $equal(addition(coantidomain(X0),codomain(X0)),one) )],[refute_0_55,refute_0_1149]) ).
cnf(refute_0_1151,plain,
multiplication(antidomain(codomain(X0)),one) = multiplication(antidomain(codomain(X0)),coantidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X0)),addition(coantidomain(X0),codomain(X0))),multiplication(antidomain(codomain(X0)),coantidomain(X0))) )],[refute_0_1148,refute_0_1150]) ).
cnf(refute_0_1152,plain,
multiplication(antidomain(codomain(X0)),one) = antidomain(codomain(X0)),
inference(subst,[],[refute_0_13:[bind(A,$fot(antidomain(codomain(X0))))]]) ).
cnf(refute_0_1153,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_1154,plain,
( multiplication(antidomain(codomain(X0)),one) != multiplication(antidomain(codomain(X0)),coantidomain(X0))
| antidomain(codomain(X0)) = multiplication(antidomain(codomain(X0)),coantidomain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X0)),one),antidomain(codomain(X0))) )],[refute_0_1152,refute_0_1153]) ).
cnf(refute_0_1155,plain,
antidomain(codomain(X0)) = multiplication(antidomain(codomain(X0)),coantidomain(X0)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X0)),one),multiplication(antidomain(codomain(X0)),coantidomain(X0))) )],[refute_0_1151,refute_0_1154]) ).
cnf(refute_0_1156,plain,
antidomain(codomain(X_314)) = multiplication(antidomain(codomain(X_314)),coantidomain(X_314)),
inference(subst,[],[refute_0_1155:[bind(X0,$fot(X_314))]]) ).
cnf(refute_0_1157,plain,
( antidomain(codomain(X_314)) != multiplication(antidomain(codomain(X_314)),coantidomain(X_314))
| multiplication(antidomain(codomain(X_314)),coantidomain(X_314)) = antidomain(codomain(X_314)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(antidomain(codomain(X_314)))),bind(Y,$fot(multiplication(antidomain(codomain(X_314)),coantidomain(X_314))))]]) ).
cnf(refute_0_1158,plain,
multiplication(antidomain(codomain(X_314)),coantidomain(X_314)) = antidomain(codomain(X_314)),
inference(resolve,[$cnf( $equal(antidomain(codomain(X_314)),multiplication(antidomain(codomain(X_314)),coantidomain(X_314))) )],[refute_0_1156,refute_0_1157]) ).
cnf(refute_0_1159,plain,
( multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)) != addition(coantidomain(X_314),multiplication(antidomain(codomain(X_314)),coantidomain(X_314)))
| multiplication(antidomain(codomain(X_314)),coantidomain(X_314)) != antidomain(codomain(X_314))
| multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)) = addition(coantidomain(X_314),antidomain(codomain(X_314))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)),addition(coantidomain(X_314),multiplication(antidomain(codomain(X_314)),coantidomain(X_314)))) ),[1,1],$fot(antidomain(codomain(X_314)))]]) ).
cnf(refute_0_1160,plain,
( multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)) != addition(coantidomain(X_314),multiplication(antidomain(codomain(X_314)),coantidomain(X_314)))
| multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)) = addition(coantidomain(X_314),antidomain(codomain(X_314))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(codomain(X_314)),coantidomain(X_314)),antidomain(codomain(X_314))) )],[refute_0_1158,refute_0_1159]) ).
cnf(refute_0_1161,plain,
multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)) = addition(coantidomain(X_314),antidomain(codomain(X_314))),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)),addition(coantidomain(X_314),multiplication(antidomain(codomain(X_314)),coantidomain(X_314)))) )],[refute_0_1147,refute_0_1160]) ).
cnf(refute_0_1162,plain,
multiplication(one,coantidomain(X_314)) = coantidomain(X_314),
inference(subst,[],[refute_0_88:[bind(A,$fot(coantidomain(X_314)))]]) ).
cnf(refute_0_1163,plain,
addition(one,antidomain(codomain(X_314))) = one,
inference(subst,[],[refute_0_517:[bind(X0,$fot(codomain(X_314)))]]) ).
cnf(refute_0_1164,plain,
multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)) = multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)))]]) ).
cnf(refute_0_1165,plain,
( addition(one,antidomain(codomain(X_314))) != one
| multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)) != multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314))
| multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)) = multiplication(one,coantidomain(X_314)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)),multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1166,plain,
( addition(one,antidomain(codomain(X_314))) != one
| multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)) = multiplication(one,coantidomain(X_314)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)),multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314))) )],[refute_0_1164,refute_0_1165]) ).
cnf(refute_0_1167,plain,
multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)) = multiplication(one,coantidomain(X_314)),
inference(resolve,[$cnf( $equal(addition(one,antidomain(codomain(X_314))),one) )],[refute_0_1163,refute_0_1166]) ).
cnf(refute_0_1168,plain,
( multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)) != multiplication(one,coantidomain(X_314))
| multiplication(one,coantidomain(X_314)) != coantidomain(X_314)
| multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)) = coantidomain(X_314) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)))),bind(Y,$fot(multiplication(one,coantidomain(X_314)))),bind(Z,$fot(coantidomain(X_314)))]]) ).
cnf(refute_0_1169,plain,
( multiplication(one,coantidomain(X_314)) != coantidomain(X_314)
| multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)) = coantidomain(X_314) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)),multiplication(one,coantidomain(X_314))) )],[refute_0_1167,refute_0_1168]) ).
cnf(refute_0_1170,plain,
multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)) = coantidomain(X_314),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(X_314)),coantidomain(X_314)) )],[refute_0_1162,refute_0_1169]) ).
cnf(refute_0_1171,plain,
multiplication(addition(one,X_277),addition(B,coantidomain(addition(X_277,one)))) = addition(multiplication(addition(one,X_277),B),multiplication(addition(one,X_277),coantidomain(addition(X_277,one)))),
inference(subst,[],[refute_0_28:[bind(A,$fot(addition(one,X_277))),bind(C,$fot(coantidomain(addition(X_277,one))))]]) ).
cnf(refute_0_1172,plain,
multiplication(addition(X_275,one),coantidomain(addition(X_275,one))) = addition(coantidomain(addition(X_275,one)),multiplication(X_275,coantidomain(addition(X_275,one)))),
inference(subst,[],[refute_0_96:[bind(X_268,$fot(X_275)),bind(X_270,$fot(coantidomain(addition(X_275,one))))]]) ).
cnf(refute_0_1173,plain,
multiplication(addition(X_275,one),coantidomain(addition(X_275,one))) = zero,
inference(subst,[],[refute_0_30:[bind(X0,$fot(addition(X_275,one)))]]) ).
cnf(refute_0_1174,plain,
( multiplication(addition(X_275,one),coantidomain(addition(X_275,one))) != addition(coantidomain(addition(X_275,one)),multiplication(X_275,coantidomain(addition(X_275,one))))
| multiplication(addition(X_275,one),coantidomain(addition(X_275,one))) != zero
| zero = addition(coantidomain(addition(X_275,one)),multiplication(X_275,coantidomain(addition(X_275,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_275,one),coantidomain(addition(X_275,one))),addition(coantidomain(addition(X_275,one)),multiplication(X_275,coantidomain(addition(X_275,one))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_1175,plain,
( multiplication(addition(X_275,one),coantidomain(addition(X_275,one))) != addition(coantidomain(addition(X_275,one)),multiplication(X_275,coantidomain(addition(X_275,one))))
| zero = addition(coantidomain(addition(X_275,one)),multiplication(X_275,coantidomain(addition(X_275,one)))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_275,one),coantidomain(addition(X_275,one))),zero) )],[refute_0_1173,refute_0_1174]) ).
cnf(refute_0_1176,plain,
zero = addition(coantidomain(addition(X_275,one)),multiplication(X_275,coantidomain(addition(X_275,one)))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_275,one),coantidomain(addition(X_275,one))),addition(coantidomain(addition(X_275,one)),multiplication(X_275,coantidomain(addition(X_275,one))))) )],[refute_0_1172,refute_0_1175]) ).
cnf(refute_0_1177,plain,
multiplication(addition(X_275,one),X_276) = addition(X_276,multiplication(X_275,X_276)),
inference(subst,[],[refute_0_96:[bind(X_268,$fot(X_275)),bind(X_270,$fot(X_276))]]) ).
cnf(refute_0_1178,plain,
addition(one,X_275) = addition(X_275,one),
inference(subst,[],[refute_0_1:[bind(A,$fot(one)),bind(B,$fot(X_275))]]) ).
cnf(refute_0_1179,plain,
( addition(one,X_275) != addition(X_275,one)
| addition(X_275,one) = addition(one,X_275) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(one,X_275))),bind(Y,$fot(addition(X_275,one)))]]) ).
cnf(refute_0_1180,plain,
addition(X_275,one) = addition(one,X_275),
inference(resolve,[$cnf( $equal(addition(one,X_275),addition(X_275,one)) )],[refute_0_1178,refute_0_1179]) ).
cnf(refute_0_1181,plain,
( addition(X_275,one) != addition(one,X_275)
| multiplication(addition(X_275,one),X_276) != addition(X_276,multiplication(X_275,X_276))
| multiplication(addition(one,X_275),X_276) = addition(X_276,multiplication(X_275,X_276)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_275,one),X_276),addition(X_276,multiplication(X_275,X_276))) ),[0,0],$fot(addition(one,X_275))]]) ).
cnf(refute_0_1182,plain,
( multiplication(addition(X_275,one),X_276) != addition(X_276,multiplication(X_275,X_276))
| multiplication(addition(one,X_275),X_276) = addition(X_276,multiplication(X_275,X_276)) ),
inference(resolve,[$cnf( $equal(addition(X_275,one),addition(one,X_275)) )],[refute_0_1180,refute_0_1181]) ).
cnf(refute_0_1183,plain,
multiplication(addition(one,X_275),X_276) = addition(X_276,multiplication(X_275,X_276)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_275,one),X_276),addition(X_276,multiplication(X_275,X_276))) )],[refute_0_1177,refute_0_1182]) ).
cnf(refute_0_1184,plain,
( multiplication(addition(one,X_275),X_276) != addition(X_276,multiplication(X_275,X_276))
| addition(X_276,multiplication(X_275,X_276)) = multiplication(addition(one,X_275),X_276) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(one,X_275),X_276))),bind(Y,$fot(addition(X_276,multiplication(X_275,X_276))))]]) ).
cnf(refute_0_1185,plain,
addition(X_276,multiplication(X_275,X_276)) = multiplication(addition(one,X_275),X_276),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_275),X_276),addition(X_276,multiplication(X_275,X_276))) )],[refute_0_1183,refute_0_1184]) ).
cnf(refute_0_1186,plain,
addition(coantidomain(addition(X_275,one)),multiplication(X_275,coantidomain(addition(X_275,one)))) = multiplication(addition(one,X_275),coantidomain(addition(X_275,one))),
inference(subst,[],[refute_0_1185:[bind(X_276,$fot(coantidomain(addition(X_275,one))))]]) ).
cnf(refute_0_1187,plain,
( addition(coantidomain(addition(X_275,one)),multiplication(X_275,coantidomain(addition(X_275,one)))) != multiplication(addition(one,X_275),coantidomain(addition(X_275,one)))
| zero != addition(coantidomain(addition(X_275,one)),multiplication(X_275,coantidomain(addition(X_275,one))))
| zero = multiplication(addition(one,X_275),coantidomain(addition(X_275,one))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,addition(coantidomain(addition(X_275,one)),multiplication(X_275,coantidomain(addition(X_275,one))))) ),[1],$fot(multiplication(addition(one,X_275),coantidomain(addition(X_275,one))))]]) ).
cnf(refute_0_1188,plain,
( zero != addition(coantidomain(addition(X_275,one)),multiplication(X_275,coantidomain(addition(X_275,one))))
| zero = multiplication(addition(one,X_275),coantidomain(addition(X_275,one))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(addition(X_275,one)),multiplication(X_275,coantidomain(addition(X_275,one)))),multiplication(addition(one,X_275),coantidomain(addition(X_275,one)))) )],[refute_0_1186,refute_0_1187]) ).
cnf(refute_0_1189,plain,
zero = multiplication(addition(one,X_275),coantidomain(addition(X_275,one))),
inference(resolve,[$cnf( $equal(zero,addition(coantidomain(addition(X_275,one)),multiplication(X_275,coantidomain(addition(X_275,one))))) )],[refute_0_1176,refute_0_1188]) ).
cnf(refute_0_1190,plain,
zero = multiplication(addition(one,X_277),coantidomain(addition(X_277,one))),
inference(subst,[],[refute_0_1189:[bind(X_275,$fot(X_277))]]) ).
cnf(refute_0_1191,plain,
( zero != multiplication(addition(one,X_277),coantidomain(addition(X_277,one)))
| multiplication(addition(one,X_277),coantidomain(addition(X_277,one))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(addition(one,X_277),coantidomain(addition(X_277,one)))))]]) ).
cnf(refute_0_1192,plain,
multiplication(addition(one,X_277),coantidomain(addition(X_277,one))) = zero,
inference(resolve,[$cnf( $equal(zero,multiplication(addition(one,X_277),coantidomain(addition(X_277,one)))) )],[refute_0_1190,refute_0_1191]) ).
cnf(refute_0_1193,plain,
( multiplication(addition(one,X_277),addition(B,coantidomain(addition(X_277,one)))) != addition(multiplication(addition(one,X_277),B),multiplication(addition(one,X_277),coantidomain(addition(X_277,one))))
| multiplication(addition(one,X_277),coantidomain(addition(X_277,one))) != zero
| multiplication(addition(one,X_277),addition(B,coantidomain(addition(X_277,one)))) = addition(multiplication(addition(one,X_277),B),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_277),addition(B,coantidomain(addition(X_277,one)))),addition(multiplication(addition(one,X_277),B),multiplication(addition(one,X_277),coantidomain(addition(X_277,one))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1194,plain,
( multiplication(addition(one,X_277),addition(B,coantidomain(addition(X_277,one)))) != addition(multiplication(addition(one,X_277),B),multiplication(addition(one,X_277),coantidomain(addition(X_277,one))))
| multiplication(addition(one,X_277),addition(B,coantidomain(addition(X_277,one)))) = addition(multiplication(addition(one,X_277),B),zero) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_277),coantidomain(addition(X_277,one))),zero) )],[refute_0_1192,refute_0_1193]) ).
cnf(refute_0_1195,plain,
multiplication(addition(one,X_277),addition(B,coantidomain(addition(X_277,one)))) = addition(multiplication(addition(one,X_277),B),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_277),addition(B,coantidomain(addition(X_277,one)))),addition(multiplication(addition(one,X_277),B),multiplication(addition(one,X_277),coantidomain(addition(X_277,one))))) )],[refute_0_1171,refute_0_1194]) ).
cnf(refute_0_1196,plain,
multiplication(addition(X_275,one),addition(X_141,coantidomain(addition(X_275,one)))) = addition(addition(X_141,coantidomain(addition(X_275,one))),multiplication(X_275,addition(X_141,coantidomain(addition(X_275,one))))),
inference(subst,[],[refute_0_96:[bind(X_268,$fot(X_275)),bind(X_270,$fot(addition(X_141,coantidomain(addition(X_275,one)))))]]) ).
cnf(refute_0_1197,plain,
multiplication(addition(X_275,one),addition(X_141,coantidomain(addition(X_275,one)))) = multiplication(addition(X_275,one),X_141),
inference(subst,[],[refute_0_39:[bind(X_140,$fot(addition(X_275,one)))]]) ).
cnf(refute_0_1198,plain,
( multiplication(addition(X_275,one),addition(X_141,coantidomain(addition(X_275,one)))) != addition(addition(X_141,coantidomain(addition(X_275,one))),multiplication(X_275,addition(X_141,coantidomain(addition(X_275,one)))))
| multiplication(addition(X_275,one),addition(X_141,coantidomain(addition(X_275,one)))) != multiplication(addition(X_275,one),X_141)
| multiplication(addition(X_275,one),X_141) = addition(addition(X_141,coantidomain(addition(X_275,one))),multiplication(X_275,addition(X_141,coantidomain(addition(X_275,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_275,one),addition(X_141,coantidomain(addition(X_275,one)))),addition(addition(X_141,coantidomain(addition(X_275,one))),multiplication(X_275,addition(X_141,coantidomain(addition(X_275,one)))))) ),[0],$fot(multiplication(addition(X_275,one),X_141))]]) ).
cnf(refute_0_1199,plain,
( multiplication(addition(X_275,one),addition(X_141,coantidomain(addition(X_275,one)))) != addition(addition(X_141,coantidomain(addition(X_275,one))),multiplication(X_275,addition(X_141,coantidomain(addition(X_275,one)))))
| multiplication(addition(X_275,one),X_141) = addition(addition(X_141,coantidomain(addition(X_275,one))),multiplication(X_275,addition(X_141,coantidomain(addition(X_275,one))))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_275,one),addition(X_141,coantidomain(addition(X_275,one)))),multiplication(addition(X_275,one),X_141)) )],[refute_0_1197,refute_0_1198]) ).
cnf(refute_0_1200,plain,
multiplication(addition(X_275,one),X_141) = addition(addition(X_141,coantidomain(addition(X_275,one))),multiplication(X_275,addition(X_141,coantidomain(addition(X_275,one))))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_275,one),addition(X_141,coantidomain(addition(X_275,one)))),addition(addition(X_141,coantidomain(addition(X_275,one))),multiplication(X_275,addition(X_141,coantidomain(addition(X_275,one)))))) )],[refute_0_1196,refute_0_1199]) ).
cnf(refute_0_1201,plain,
addition(addition(X_141,coantidomain(addition(X_275,one))),multiplication(X_275,addition(X_141,coantidomain(addition(X_275,one))))) = multiplication(addition(one,X_275),addition(X_141,coantidomain(addition(X_275,one)))),
inference(subst,[],[refute_0_1185:[bind(X_276,$fot(addition(X_141,coantidomain(addition(X_275,one)))))]]) ).
cnf(refute_0_1202,plain,
( addition(addition(X_141,coantidomain(addition(X_275,one))),multiplication(X_275,addition(X_141,coantidomain(addition(X_275,one))))) != multiplication(addition(one,X_275),addition(X_141,coantidomain(addition(X_275,one))))
| multiplication(addition(X_275,one),X_141) != addition(addition(X_141,coantidomain(addition(X_275,one))),multiplication(X_275,addition(X_141,coantidomain(addition(X_275,one)))))
| multiplication(addition(X_275,one),X_141) = multiplication(addition(one,X_275),addition(X_141,coantidomain(addition(X_275,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_275,one),X_141),addition(addition(X_141,coantidomain(addition(X_275,one))),multiplication(X_275,addition(X_141,coantidomain(addition(X_275,one)))))) ),[1],$fot(multiplication(addition(one,X_275),addition(X_141,coantidomain(addition(X_275,one)))))]]) ).
cnf(refute_0_1203,plain,
( multiplication(addition(X_275,one),X_141) != addition(addition(X_141,coantidomain(addition(X_275,one))),multiplication(X_275,addition(X_141,coantidomain(addition(X_275,one)))))
| multiplication(addition(X_275,one),X_141) = multiplication(addition(one,X_275),addition(X_141,coantidomain(addition(X_275,one)))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_141,coantidomain(addition(X_275,one))),multiplication(X_275,addition(X_141,coantidomain(addition(X_275,one))))),multiplication(addition(one,X_275),addition(X_141,coantidomain(addition(X_275,one))))) )],[refute_0_1201,refute_0_1202]) ).
cnf(refute_0_1204,plain,
multiplication(addition(X_275,one),X_141) = multiplication(addition(one,X_275),addition(X_141,coantidomain(addition(X_275,one)))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_275,one),X_141),addition(addition(X_141,coantidomain(addition(X_275,one))),multiplication(X_275,addition(X_141,coantidomain(addition(X_275,one)))))) )],[refute_0_1200,refute_0_1203]) ).
cnf(refute_0_1205,plain,
( multiplication(addition(X_275,one),X_141) != multiplication(addition(one,X_275),addition(X_141,coantidomain(addition(X_275,one))))
| multiplication(addition(one,X_275),addition(X_141,coantidomain(addition(X_275,one)))) = multiplication(addition(X_275,one),X_141) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(addition(X_275,one),X_141))),bind(Y,$fot(multiplication(addition(one,X_275),addition(X_141,coantidomain(addition(X_275,one))))))]]) ).
cnf(refute_0_1206,plain,
multiplication(addition(one,X_275),addition(X_141,coantidomain(addition(X_275,one)))) = multiplication(addition(X_275,one),X_141),
inference(resolve,[$cnf( $equal(multiplication(addition(X_275,one),X_141),multiplication(addition(one,X_275),addition(X_141,coantidomain(addition(X_275,one))))) )],[refute_0_1204,refute_0_1205]) ).
cnf(refute_0_1207,plain,
multiplication(addition(one,X_277),addition(B,coantidomain(addition(X_277,one)))) = multiplication(addition(X_277,one),B),
inference(subst,[],[refute_0_1206:[bind(X_141,$fot(B)),bind(X_275,$fot(X_277))]]) ).
cnf(refute_0_1208,plain,
( multiplication(addition(one,X_277),addition(B,coantidomain(addition(X_277,one)))) != addition(multiplication(addition(one,X_277),B),zero)
| multiplication(addition(one,X_277),addition(B,coantidomain(addition(X_277,one)))) != multiplication(addition(X_277,one),B)
| multiplication(addition(X_277,one),B) = addition(multiplication(addition(one,X_277),B),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_277),addition(B,coantidomain(addition(X_277,one)))),addition(multiplication(addition(one,X_277),B),zero)) ),[0],$fot(multiplication(addition(X_277,one),B))]]) ).
cnf(refute_0_1209,plain,
( multiplication(addition(one,X_277),addition(B,coantidomain(addition(X_277,one)))) != addition(multiplication(addition(one,X_277),B),zero)
| multiplication(addition(X_277,one),B) = addition(multiplication(addition(one,X_277),B),zero) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_277),addition(B,coantidomain(addition(X_277,one)))),multiplication(addition(X_277,one),B)) )],[refute_0_1207,refute_0_1208]) ).
cnf(refute_0_1210,plain,
addition(multiplication(addition(one,X_277),B),zero) = multiplication(addition(one,X_277),B),
inference(subst,[],[refute_0_35:[bind(A,$fot(multiplication(addition(one,X_277),B)))]]) ).
cnf(refute_0_1211,plain,
( addition(multiplication(addition(one,X_277),B),zero) != multiplication(addition(one,X_277),B)
| multiplication(addition(X_277,one),B) != addition(multiplication(addition(one,X_277),B),zero)
| multiplication(addition(X_277,one),B) = multiplication(addition(one,X_277),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_277,one),B),addition(multiplication(addition(one,X_277),B),zero)) ),[1],$fot(multiplication(addition(one,X_277),B))]]) ).
cnf(refute_0_1212,plain,
( multiplication(addition(X_277,one),B) != addition(multiplication(addition(one,X_277),B),zero)
| multiplication(addition(X_277,one),B) = multiplication(addition(one,X_277),B) ),
inference(resolve,[$cnf( $equal(addition(multiplication(addition(one,X_277),B),zero),multiplication(addition(one,X_277),B)) )],[refute_0_1210,refute_0_1211]) ).
cnf(refute_0_1213,plain,
( multiplication(addition(one,X_277),addition(B,coantidomain(addition(X_277,one)))) != addition(multiplication(addition(one,X_277),B),zero)
| multiplication(addition(X_277,one),B) = multiplication(addition(one,X_277),B) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_277,one),B),addition(multiplication(addition(one,X_277),B),zero)) )],[refute_0_1209,refute_0_1212]) ).
cnf(refute_0_1214,plain,
multiplication(addition(X_277,one),B) = multiplication(addition(one,X_277),B),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_277),addition(B,coantidomain(addition(X_277,one)))),addition(multiplication(addition(one,X_277),B),zero)) )],[refute_0_1195,refute_0_1213]) ).
cnf(refute_0_1215,plain,
multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)) = multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)),
inference(subst,[],[refute_0_1214:[bind(B,$fot(coantidomain(X_314))),bind(X_277,$fot(antidomain(codomain(X_314))))]]) ).
cnf(refute_0_1216,plain,
( multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)) != multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314))
| multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)) != coantidomain(X_314)
| multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)) = coantidomain(X_314) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)))),bind(Y,$fot(multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)))),bind(Z,$fot(coantidomain(X_314)))]]) ).
cnf(refute_0_1217,plain,
( multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)) != coantidomain(X_314)
| multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)) = coantidomain(X_314) ),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)),multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314))) )],[refute_0_1215,refute_0_1216]) ).
cnf(refute_0_1218,plain,
multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)) = coantidomain(X_314),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(codomain(X_314))),coantidomain(X_314)),coantidomain(X_314)) )],[refute_0_1170,refute_0_1217]) ).
cnf(refute_0_1219,plain,
( multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)) != addition(coantidomain(X_314),antidomain(codomain(X_314)))
| multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)) != coantidomain(X_314)
| coantidomain(X_314) = addition(coantidomain(X_314),antidomain(codomain(X_314))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)),addition(coantidomain(X_314),antidomain(codomain(X_314)))) ),[0],$fot(coantidomain(X_314))]]) ).
cnf(refute_0_1220,plain,
( multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)) != addition(coantidomain(X_314),antidomain(codomain(X_314)))
| coantidomain(X_314) = addition(coantidomain(X_314),antidomain(codomain(X_314))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)),coantidomain(X_314)) )],[refute_0_1218,refute_0_1219]) ).
cnf(refute_0_1221,plain,
coantidomain(X_314) = addition(coantidomain(X_314),antidomain(codomain(X_314))),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(codomain(X_314)),one),coantidomain(X_314)),addition(coantidomain(X_314),antidomain(codomain(X_314)))) )],[refute_0_1161,refute_0_1220]) ).
cnf(refute_0_1222,plain,
coantidomain(X_1197) = addition(coantidomain(X_1197),antidomain(codomain(X_1197))),
inference(subst,[],[refute_0_1221:[bind(X_314,$fot(X_1197))]]) ).
cnf(refute_0_1223,plain,
( coantidomain(X_1197) != addition(coantidomain(X_1197),antidomain(codomain(X_1197)))
| addition(coantidomain(X_1197),antidomain(codomain(X_1197))) = coantidomain(X_1197) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(coantidomain(X_1197))),bind(Y,$fot(addition(coantidomain(X_1197),antidomain(codomain(X_1197)))))]]) ).
cnf(refute_0_1224,plain,
addition(coantidomain(X_1197),antidomain(codomain(X_1197))) = coantidomain(X_1197),
inference(resolve,[$cnf( $equal(coantidomain(X_1197),addition(coantidomain(X_1197),antidomain(codomain(X_1197)))) )],[refute_0_1222,refute_0_1223]) ).
cnf(refute_0_1225,plain,
( addition(coantidomain(X_1197),antidomain(codomain(X_1197))) != coantidomain(X_1197)
| multiplication(X_1197,addition(coantidomain(X_1197),antidomain(codomain(X_1197)))) != multiplication(X_1197,antidomain(codomain(X_1197)))
| multiplication(X_1197,coantidomain(X_1197)) = multiplication(X_1197,antidomain(codomain(X_1197))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_1197,addition(coantidomain(X_1197),antidomain(codomain(X_1197)))),multiplication(X_1197,antidomain(codomain(X_1197)))) ),[0,1],$fot(coantidomain(X_1197))]]) ).
cnf(refute_0_1226,plain,
( multiplication(X_1197,addition(coantidomain(X_1197),antidomain(codomain(X_1197)))) != multiplication(X_1197,antidomain(codomain(X_1197)))
| multiplication(X_1197,coantidomain(X_1197)) = multiplication(X_1197,antidomain(codomain(X_1197))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_1197),antidomain(codomain(X_1197))),coantidomain(X_1197)) )],[refute_0_1224,refute_0_1225]) ).
cnf(refute_0_1227,plain,
multiplication(X_1197,coantidomain(X_1197)) = multiplication(X_1197,antidomain(codomain(X_1197))),
inference(resolve,[$cnf( $equal(multiplication(X_1197,addition(coantidomain(X_1197),antidomain(codomain(X_1197)))),multiplication(X_1197,antidomain(codomain(X_1197)))) )],[refute_0_1146,refute_0_1226]) ).
cnf(refute_0_1228,plain,
multiplication(X_1197,coantidomain(X_1197)) = zero,
inference(subst,[],[refute_0_30:[bind(X0,$fot(X_1197))]]) ).
cnf(refute_0_1229,plain,
( multiplication(X_1197,coantidomain(X_1197)) != multiplication(X_1197,antidomain(codomain(X_1197)))
| multiplication(X_1197,coantidomain(X_1197)) != zero
| zero = multiplication(X_1197,antidomain(codomain(X_1197))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_1197,coantidomain(X_1197)),multiplication(X_1197,antidomain(codomain(X_1197)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_1230,plain,
( multiplication(X_1197,coantidomain(X_1197)) != multiplication(X_1197,antidomain(codomain(X_1197)))
| zero = multiplication(X_1197,antidomain(codomain(X_1197))) ),
inference(resolve,[$cnf( $equal(multiplication(X_1197,coantidomain(X_1197)),zero) )],[refute_0_1228,refute_0_1229]) ).
cnf(refute_0_1231,plain,
zero = multiplication(X_1197,antidomain(codomain(X_1197))),
inference(resolve,[$cnf( $equal(multiplication(X_1197,coantidomain(X_1197)),multiplication(X_1197,antidomain(codomain(X_1197)))) )],[refute_0_1227,refute_0_1230]) ).
cnf(refute_0_1232,plain,
zero = multiplication(A,antidomain(codomain(A))),
inference(subst,[],[refute_0_1231:[bind(X_1197,$fot(A))]]) ).
cnf(refute_0_1233,plain,
( zero != multiplication(A,antidomain(codomain(A)))
| multiplication(A,antidomain(codomain(A))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(A,antidomain(codomain(A)))))]]) ).
cnf(refute_0_1234,plain,
multiplication(A,antidomain(codomain(A))) = zero,
inference(resolve,[$cnf( $equal(zero,multiplication(A,antidomain(codomain(A)))) )],[refute_0_1232,refute_0_1233]) ).
cnf(refute_0_1235,plain,
( multiplication(A,addition(antidomain(codomain(A)),C)) != addition(multiplication(A,antidomain(codomain(A))),multiplication(A,C))
| multiplication(A,antidomain(codomain(A))) != zero
| multiplication(A,addition(antidomain(codomain(A)),C)) = addition(zero,multiplication(A,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(A,addition(antidomain(codomain(A)),C)),addition(multiplication(A,antidomain(codomain(A))),multiplication(A,C))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1236,plain,
( multiplication(A,addition(antidomain(codomain(A)),C)) != addition(multiplication(A,antidomain(codomain(A))),multiplication(A,C))
| multiplication(A,addition(antidomain(codomain(A)),C)) = addition(zero,multiplication(A,C)) ),
inference(resolve,[$cnf( $equal(multiplication(A,antidomain(codomain(A))),zero) )],[refute_0_1234,refute_0_1235]) ).
cnf(refute_0_1237,plain,
multiplication(A,addition(antidomain(codomain(A)),C)) = addition(zero,multiplication(A,C)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(antidomain(codomain(A)),C)),addition(multiplication(A,antidomain(codomain(A))),multiplication(A,C))) )],[refute_0_1145,refute_0_1236]) ).
cnf(refute_0_1238,plain,
addition(zero,multiplication(A,C)) = multiplication(A,C),
inference(subst,[],[refute_0_407:[bind(A,$fot(multiplication(A,C)))]]) ).
cnf(refute_0_1239,plain,
( addition(zero,multiplication(A,C)) != multiplication(A,C)
| multiplication(A,addition(antidomain(codomain(A)),C)) != addition(zero,multiplication(A,C))
| multiplication(A,addition(antidomain(codomain(A)),C)) = multiplication(A,C) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(A,addition(antidomain(codomain(A)),C)),addition(zero,multiplication(A,C))) ),[1],$fot(multiplication(A,C))]]) ).
cnf(refute_0_1240,plain,
( multiplication(A,addition(antidomain(codomain(A)),C)) != addition(zero,multiplication(A,C))
| multiplication(A,addition(antidomain(codomain(A)),C)) = multiplication(A,C) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(A,C)),multiplication(A,C)) )],[refute_0_1238,refute_0_1239]) ).
cnf(refute_0_1241,plain,
multiplication(A,addition(antidomain(codomain(A)),C)) = multiplication(A,C),
inference(resolve,[$cnf( $equal(multiplication(A,addition(antidomain(codomain(A)),C)),addition(zero,multiplication(A,C))) )],[refute_0_1237,refute_0_1240]) ).
cnf(refute_0_1242,plain,
multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))) = multiplication(A,addition(X_1648,one)),
inference(subst,[],[refute_0_1241:[bind(C,$fot(addition(X_1648,one)))]]) ).
cnf(refute_0_1243,plain,
multiplication(A,addition(X_1648,one)) = addition(A,multiplication(A,X_1648)),
inference(subst,[],[refute_0_1088:[bind(X_140,$fot(A)),bind(X_141,$fot(X_1648))]]) ).
cnf(refute_0_1244,plain,
( multiplication(A,addition(X_1648,one)) != addition(A,multiplication(A,X_1648))
| multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))) != multiplication(A,addition(X_1648,one))
| multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))) = addition(A,multiplication(A,X_1648)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))),multiplication(A,addition(X_1648,one))) ),[1],$fot(addition(A,multiplication(A,X_1648)))]]) ).
cnf(refute_0_1245,plain,
( multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))) != multiplication(A,addition(X_1648,one))
| multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))) = addition(A,multiplication(A,X_1648)) ),
inference(resolve,[$cnf( $equal(multiplication(A,addition(X_1648,one)),addition(A,multiplication(A,X_1648))) )],[refute_0_1243,refute_0_1244]) ).
cnf(refute_0_1246,plain,
multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))) = addition(A,multiplication(A,X_1648)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))),multiplication(A,addition(X_1648,one))) )],[refute_0_1242,refute_0_1245]) ).
cnf(refute_0_1247,plain,
multiplication(A,addition(B,addition(antidomain(codomain(A)),X_1411))) = addition(multiplication(A,B),multiplication(A,addition(antidomain(codomain(A)),X_1411))),
inference(subst,[],[refute_0_28:[bind(C,$fot(addition(antidomain(codomain(A)),X_1411)))]]) ).
cnf(refute_0_1248,plain,
multiplication(A,addition(antidomain(codomain(A)),X_1411)) = multiplication(A,X_1411),
inference(subst,[],[refute_0_1241:[bind(C,$fot(X_1411))]]) ).
cnf(refute_0_1249,plain,
( multiplication(A,addition(B,addition(antidomain(codomain(A)),X_1411))) != addition(multiplication(A,B),multiplication(A,addition(antidomain(codomain(A)),X_1411)))
| multiplication(A,addition(antidomain(codomain(A)),X_1411)) != multiplication(A,X_1411)
| multiplication(A,addition(B,addition(antidomain(codomain(A)),X_1411))) = addition(multiplication(A,B),multiplication(A,X_1411)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(A,addition(B,addition(antidomain(codomain(A)),X_1411))),addition(multiplication(A,B),multiplication(A,addition(antidomain(codomain(A)),X_1411)))) ),[1,1],$fot(multiplication(A,X_1411))]]) ).
cnf(refute_0_1250,plain,
( multiplication(A,addition(B,addition(antidomain(codomain(A)),X_1411))) != addition(multiplication(A,B),multiplication(A,addition(antidomain(codomain(A)),X_1411)))
| multiplication(A,addition(B,addition(antidomain(codomain(A)),X_1411))) = addition(multiplication(A,B),multiplication(A,X_1411)) ),
inference(resolve,[$cnf( $equal(multiplication(A,addition(antidomain(codomain(A)),X_1411)),multiplication(A,X_1411)) )],[refute_0_1248,refute_0_1249]) ).
cnf(refute_0_1251,plain,
multiplication(A,addition(B,addition(antidomain(codomain(A)),X_1411))) = addition(multiplication(A,B),multiplication(A,X_1411)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,addition(antidomain(codomain(A)),X_1411))),addition(multiplication(A,B),multiplication(A,addition(antidomain(codomain(A)),X_1411)))) )],[refute_0_1247,refute_0_1250]) ).
cnf(refute_0_1252,plain,
( multiplication(A,addition(B,C)) != addition(multiplication(A,B),multiplication(A,C))
| addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(A,addition(B,C)))),bind(Y,$fot(addition(multiplication(A,B),multiplication(A,C))))]]) ).
cnf(refute_0_1253,plain,
addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,C)),addition(multiplication(A,B),multiplication(A,C))) )],[refute_0_28,refute_0_1252]) ).
cnf(refute_0_1254,plain,
addition(multiplication(A,B),multiplication(A,X_1411)) = multiplication(A,addition(B,X_1411)),
inference(subst,[],[refute_0_1253:[bind(C,$fot(X_1411))]]) ).
cnf(refute_0_1255,plain,
( addition(multiplication(A,B),multiplication(A,X_1411)) != multiplication(A,addition(B,X_1411))
| multiplication(A,addition(B,addition(antidomain(codomain(A)),X_1411))) != addition(multiplication(A,B),multiplication(A,X_1411))
| multiplication(A,addition(B,addition(antidomain(codomain(A)),X_1411))) = multiplication(A,addition(B,X_1411)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(A,addition(B,addition(antidomain(codomain(A)),X_1411))),addition(multiplication(A,B),multiplication(A,X_1411))) ),[1],$fot(multiplication(A,addition(B,X_1411)))]]) ).
cnf(refute_0_1256,plain,
( multiplication(A,addition(B,addition(antidomain(codomain(A)),X_1411))) != addition(multiplication(A,B),multiplication(A,X_1411))
| multiplication(A,addition(B,addition(antidomain(codomain(A)),X_1411))) = multiplication(A,addition(B,X_1411)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,B),multiplication(A,X_1411)),multiplication(A,addition(B,X_1411))) )],[refute_0_1254,refute_0_1255]) ).
cnf(refute_0_1257,plain,
multiplication(A,addition(B,addition(antidomain(codomain(A)),X_1411))) = multiplication(A,addition(B,X_1411)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(B,addition(antidomain(codomain(A)),X_1411))),addition(multiplication(A,B),multiplication(A,X_1411))) )],[refute_0_1251,refute_0_1256]) ).
cnf(refute_0_1258,plain,
multiplication(A,addition(one,addition(antidomain(codomain(A)),X_1648))) = multiplication(A,addition(one,X_1648)),
inference(subst,[],[refute_0_1257:[bind(B,$fot(one)),bind(X_1411,$fot(X_1648))]]) ).
cnf(refute_0_1259,plain,
multiplication(X_1197,addition(coantidomain(X_1197),addition(X_133,codomain(X_1197)))) = multiplication(X_1197,addition(X_133,codomain(X_1197))),
inference(subst,[],[refute_0_539:[bind(X_140,$fot(X_1197)),bind(X_142,$fot(addition(X_133,codomain(X_1197))))]]) ).
cnf(refute_0_1260,plain,
addition(coantidomain(X_1197),addition(X_133,codomain(X_1197))) = addition(one,X_133),
inference(subst,[],[refute_0_283:[bind(X_132,$fot(X_1197))]]) ).
cnf(refute_0_1261,plain,
( addition(coantidomain(X_1197),addition(X_133,codomain(X_1197))) != addition(one,X_133)
| multiplication(X_1197,addition(coantidomain(X_1197),addition(X_133,codomain(X_1197)))) != multiplication(X_1197,addition(X_133,codomain(X_1197)))
| multiplication(X_1197,addition(one,X_133)) = multiplication(X_1197,addition(X_133,codomain(X_1197))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_1197,addition(coantidomain(X_1197),addition(X_133,codomain(X_1197)))),multiplication(X_1197,addition(X_133,codomain(X_1197)))) ),[0,1],$fot(addition(one,X_133))]]) ).
cnf(refute_0_1262,plain,
( multiplication(X_1197,addition(coantidomain(X_1197),addition(X_133,codomain(X_1197)))) != multiplication(X_1197,addition(X_133,codomain(X_1197)))
| multiplication(X_1197,addition(one,X_133)) = multiplication(X_1197,addition(X_133,codomain(X_1197))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_1197),addition(X_133,codomain(X_1197))),addition(one,X_133)) )],[refute_0_1260,refute_0_1261]) ).
cnf(refute_0_1263,plain,
multiplication(X_1197,addition(one,X_133)) = multiplication(X_1197,addition(X_133,codomain(X_1197))),
inference(resolve,[$cnf( $equal(multiplication(X_1197,addition(coantidomain(X_1197),addition(X_133,codomain(X_1197)))),multiplication(X_1197,addition(X_133,codomain(X_1197)))) )],[refute_0_1259,refute_0_1262]) ).
cnf(refute_0_1264,plain,
multiplication(X_1242,addition(one,addition(X_101,X_102))) = multiplication(X_1242,addition(addition(X_101,X_102),codomain(X_1242))),
inference(subst,[],[refute_0_1263:[bind(X_1197,$fot(X_1242)),bind(X_133,$fot(addition(X_101,X_102)))]]) ).
cnf(refute_0_1265,plain,
addition(one,addition(X_101,X_102)) = addition(X_101,addition(X_102,one)),
inference(subst,[],[refute_0_271:[bind(A,$fot(one))]]) ).
cnf(refute_0_1266,plain,
( addition(one,addition(X_101,X_102)) != addition(X_101,addition(X_102,one))
| multiplication(X_1242,addition(one,addition(X_101,X_102))) != multiplication(X_1242,addition(addition(X_101,X_102),codomain(X_1242)))
| multiplication(X_1242,addition(X_101,addition(X_102,one))) = multiplication(X_1242,addition(addition(X_101,X_102),codomain(X_1242))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_1242,addition(one,addition(X_101,X_102))),multiplication(X_1242,addition(addition(X_101,X_102),codomain(X_1242)))) ),[0,1],$fot(addition(X_101,addition(X_102,one)))]]) ).
cnf(refute_0_1267,plain,
( multiplication(X_1242,addition(one,addition(X_101,X_102))) != multiplication(X_1242,addition(addition(X_101,X_102),codomain(X_1242)))
| multiplication(X_1242,addition(X_101,addition(X_102,one))) = multiplication(X_1242,addition(addition(X_101,X_102),codomain(X_1242))) ),
inference(resolve,[$cnf( $equal(addition(one,addition(X_101,X_102)),addition(X_101,addition(X_102,one))) )],[refute_0_1265,refute_0_1266]) ).
cnf(refute_0_1268,plain,
multiplication(X_1242,addition(X_101,addition(X_102,one))) = multiplication(X_1242,addition(addition(X_101,X_102),codomain(X_1242))),
inference(resolve,[$cnf( $equal(multiplication(X_1242,addition(one,addition(X_101,X_102))),multiplication(X_1242,addition(addition(X_101,X_102),codomain(X_1242)))) )],[refute_0_1264,refute_0_1267]) ).
cnf(refute_0_1269,plain,
( multiplication(X_1197,addition(one,X_133)) != multiplication(X_1197,addition(X_133,codomain(X_1197)))
| multiplication(X_1197,addition(X_133,codomain(X_1197))) = multiplication(X_1197,addition(one,X_133)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(X_1197,addition(one,X_133)))),bind(Y,$fot(multiplication(X_1197,addition(X_133,codomain(X_1197)))))]]) ).
cnf(refute_0_1270,plain,
multiplication(X_1197,addition(X_133,codomain(X_1197))) = multiplication(X_1197,addition(one,X_133)),
inference(resolve,[$cnf( $equal(multiplication(X_1197,addition(one,X_133)),multiplication(X_1197,addition(X_133,codomain(X_1197)))) )],[refute_0_1263,refute_0_1269]) ).
cnf(refute_0_1271,plain,
multiplication(X_1242,addition(addition(X_101,X_102),codomain(X_1242))) = multiplication(X_1242,addition(one,addition(X_101,X_102))),
inference(subst,[],[refute_0_1270:[bind(X_1197,$fot(X_1242)),bind(X_133,$fot(addition(X_101,X_102)))]]) ).
cnf(refute_0_1272,plain,
( multiplication(X_1242,addition(X_101,addition(X_102,one))) != multiplication(X_1242,addition(addition(X_101,X_102),codomain(X_1242)))
| multiplication(X_1242,addition(addition(X_101,X_102),codomain(X_1242))) != multiplication(X_1242,addition(one,addition(X_101,X_102)))
| multiplication(X_1242,addition(X_101,addition(X_102,one))) = multiplication(X_1242,addition(one,addition(X_101,X_102))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(X_1242,addition(X_101,addition(X_102,one))),multiplication(X_1242,addition(one,addition(X_101,X_102)))) ),[0],$fot(multiplication(X_1242,addition(addition(X_101,X_102),codomain(X_1242))))]]) ).
cnf(refute_0_1273,plain,
( multiplication(X_1242,addition(X_101,addition(X_102,one))) != multiplication(X_1242,addition(addition(X_101,X_102),codomain(X_1242)))
| multiplication(X_1242,addition(X_101,addition(X_102,one))) = multiplication(X_1242,addition(one,addition(X_101,X_102))) ),
inference(resolve,[$cnf( $equal(multiplication(X_1242,addition(addition(X_101,X_102),codomain(X_1242))),multiplication(X_1242,addition(one,addition(X_101,X_102)))) )],[refute_0_1271,refute_0_1272]) ).
cnf(refute_0_1274,plain,
multiplication(X_1242,addition(X_101,addition(X_102,one))) = multiplication(X_1242,addition(one,addition(X_101,X_102))),
inference(resolve,[$cnf( $equal(multiplication(X_1242,addition(X_101,addition(X_102,one))),multiplication(X_1242,addition(addition(X_101,X_102),codomain(X_1242)))) )],[refute_0_1268,refute_0_1273]) ).
cnf(refute_0_1275,plain,
multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))) = multiplication(A,addition(one,addition(antidomain(codomain(A)),X_1648))),
inference(subst,[],[refute_0_1274:[bind(X_101,$fot(antidomain(codomain(A)))),bind(X_102,$fot(X_1648)),bind(X_1242,$fot(A))]]) ).
cnf(refute_0_1276,plain,
( multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))) != multiplication(A,addition(one,addition(antidomain(codomain(A)),X_1648)))
| multiplication(A,addition(one,addition(antidomain(codomain(A)),X_1648))) != multiplication(A,addition(one,X_1648))
| multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))) = multiplication(A,addition(one,X_1648)) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))))),bind(Y,$fot(multiplication(A,addition(one,addition(antidomain(codomain(A)),X_1648))))),bind(Z,$fot(multiplication(A,addition(one,X_1648))))]]) ).
cnf(refute_0_1277,plain,
( multiplication(A,addition(one,addition(antidomain(codomain(A)),X_1648))) != multiplication(A,addition(one,X_1648))
| multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))) = multiplication(A,addition(one,X_1648)) ),
inference(resolve,[$cnf( $equal(multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))),multiplication(A,addition(one,addition(antidomain(codomain(A)),X_1648)))) )],[refute_0_1275,refute_0_1276]) ).
cnf(refute_0_1278,plain,
multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))) = multiplication(A,addition(one,X_1648)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(one,addition(antidomain(codomain(A)),X_1648))),multiplication(A,addition(one,X_1648))) )],[refute_0_1258,refute_0_1277]) ).
cnf(refute_0_1279,plain,
( multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))) != addition(A,multiplication(A,X_1648))
| multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))) != multiplication(A,addition(one,X_1648))
| multiplication(A,addition(one,X_1648)) = addition(A,multiplication(A,X_1648)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))),addition(A,multiplication(A,X_1648))) ),[0],$fot(multiplication(A,addition(one,X_1648)))]]) ).
cnf(refute_0_1280,plain,
( multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))) != addition(A,multiplication(A,X_1648))
| multiplication(A,addition(one,X_1648)) = addition(A,multiplication(A,X_1648)) ),
inference(resolve,[$cnf( $equal(multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))),multiplication(A,addition(one,X_1648))) )],[refute_0_1278,refute_0_1279]) ).
cnf(refute_0_1281,plain,
multiplication(A,addition(one,X_1648)) = addition(A,multiplication(A,X_1648)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(antidomain(codomain(A)),addition(X_1648,one))),addition(A,multiplication(A,X_1648))) )],[refute_0_1246,refute_0_1280]) ).
cnf(refute_0_1282,plain,
( multiplication(A,addition(one,X_1648)) != addition(A,multiplication(A,X_1648))
| addition(A,multiplication(A,X_1648)) = multiplication(A,addition(one,X_1648)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiplication(A,addition(one,X_1648)))),bind(Y,$fot(addition(A,multiplication(A,X_1648))))]]) ).
cnf(refute_0_1283,plain,
addition(A,multiplication(A,X_1648)) = multiplication(A,addition(one,X_1648)),
inference(resolve,[$cnf( $equal(multiplication(A,addition(one,X_1648)),addition(A,multiplication(A,X_1648))) )],[refute_0_1281,refute_0_1282]) ).
cnf(refute_0_1284,plain,
addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648)) = multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648)),
inference(subst,[],[refute_0_1283:[bind(A,$fot(addition(antidomain(addition(X_1648,one)),X_269)))]]) ).
cnf(refute_0_1285,plain,
( addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648)) != multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648))
| multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648)) != multiplication(X_269,addition(one,X_1648))
| addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648)) = multiplication(X_269,addition(one,X_1648)) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648)))),bind(Y,$fot(multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648)))),bind(Z,$fot(multiplication(X_269,addition(one,X_1648))))]]) ).
cnf(refute_0_1286,plain,
( multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648)) != multiplication(X_269,addition(one,X_1648))
| addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648)) = multiplication(X_269,addition(one,X_1648)) ),
inference(resolve,[$cnf( $equal(addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648)),multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648))) )],[refute_0_1284,refute_0_1285]) ).
cnf(refute_0_1287,plain,
addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648)) = multiplication(X_269,addition(one,X_1648)),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(addition(X_1648,one)),X_269),addition(one,X_1648)),multiplication(X_269,addition(one,X_1648))) )],[refute_0_1144,refute_0_1286]) ).
cnf(refute_0_1288,plain,
( addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648)) != multiplication(X_269,addition(one,X_1648))
| multiplication(X_269,addition(X_1648,one)) != addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648))
| multiplication(X_269,addition(X_1648,one)) = multiplication(X_269,addition(one,X_1648)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_269,addition(X_1648,one)),addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648))) ),[1],$fot(multiplication(X_269,addition(one,X_1648)))]]) ).
cnf(refute_0_1289,plain,
( multiplication(X_269,addition(X_1648,one)) != addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648))
| multiplication(X_269,addition(X_1648,one)) = multiplication(X_269,addition(one,X_1648)) ),
inference(resolve,[$cnf( $equal(addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648)),multiplication(X_269,addition(one,X_1648))) )],[refute_0_1287,refute_0_1288]) ).
cnf(refute_0_1290,plain,
multiplication(X_269,addition(X_1648,one)) = multiplication(X_269,addition(one,X_1648)),
inference(resolve,[$cnf( $equal(multiplication(X_269,addition(X_1648,one)),addition(addition(antidomain(addition(X_1648,one)),X_269),multiplication(addition(antidomain(addition(X_1648,one)),X_269),X_1648))) )],[refute_0_1106,refute_0_1289]) ).
cnf(refute_0_1291,plain,
multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)) = multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))),
inference(subst,[],[refute_0_1290:[bind(X_1648,$fot(coantidomain(X_269))),bind(X_269,$fot(addition(X_268,X_269)))]]) ).
cnf(refute_0_1292,plain,
( multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)) != multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269)))
| multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))) != addition(X_268,X_269)
| multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)) = addition(X_268,X_269) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)))),bind(Y,$fot(multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))))),bind(Z,$fot(addition(X_268,X_269)))]]) ).
cnf(refute_0_1293,plain,
( multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))) != addition(X_268,X_269)
| multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)) = addition(X_268,X_269) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)),multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269)))) )],[refute_0_1291,refute_0_1292]) ).
cnf(refute_0_1294,plain,
multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)) = addition(X_268,X_269),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,X_269),addition(one,coantidomain(X_269))),addition(X_268,X_269)) )],[refute_0_1101,refute_0_1293]) ).
cnf(refute_0_1295,plain,
( multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)) != addition(X_268,X_269)
| multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)) != addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269)))
| addition(X_268,X_269) = addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)),addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269)))) ),[0],$fot(addition(X_268,X_269))]]) ).
cnf(refute_0_1296,plain,
( multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)) != addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269)))
| addition(X_268,X_269) = addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)),addition(X_268,X_269)) )],[refute_0_1294,refute_0_1295]) ).
cnf(refute_0_1297,plain,
addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269))) = addition(X_268,addition(X_269,multiplication(X_268,coantidomain(X_269)))),
inference(subst,[],[refute_0_289:[bind(A,$fot(X_268)),bind(B,$fot(X_269)),bind(C,$fot(multiplication(X_268,coantidomain(X_269))))]]) ).
cnf(refute_0_1298,plain,
( addition(X_268,X_269) != addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269)))
| addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269))) != addition(X_268,addition(X_269,multiplication(X_268,coantidomain(X_269))))
| addition(X_268,X_269) = addition(X_268,addition(X_269,multiplication(X_268,coantidomain(X_269)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_268,X_269),addition(X_268,addition(X_269,multiplication(X_268,coantidomain(X_269))))) ),[0],$fot(addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269))))]]) ).
cnf(refute_0_1299,plain,
( addition(X_268,X_269) != addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269)))
| addition(X_268,X_269) = addition(X_268,addition(X_269,multiplication(X_268,coantidomain(X_269)))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269))),addition(X_268,addition(X_269,multiplication(X_268,coantidomain(X_269))))) )],[refute_0_1297,refute_0_1298]) ).
cnf(refute_0_1300,plain,
( multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)) != addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269)))
| addition(X_268,X_269) = addition(X_268,addition(X_269,multiplication(X_268,coantidomain(X_269)))) ),
inference(resolve,[$cnf( $equal(addition(X_268,X_269),addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269)))) )],[refute_0_1296,refute_0_1299]) ).
cnf(refute_0_1301,plain,
addition(X_268,X_269) = addition(X_268,addition(X_269,multiplication(X_268,coantidomain(X_269)))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_268,X_269),addition(coantidomain(X_269),one)),addition(addition(X_268,X_269),multiplication(X_268,coantidomain(X_269)))) )],[refute_0_1092,refute_0_1300]) ).
cnf(refute_0_1302,plain,
addition(multiplication(X_102,coantidomain(X_1720)),addition(X_101,X_102)) = addition(X_101,addition(X_102,multiplication(X_102,coantidomain(X_1720)))),
inference(subst,[],[refute_0_271:[bind(A,$fot(multiplication(X_102,coantidomain(X_1720))))]]) ).
cnf(refute_0_1303,plain,
X_102 = addition(X_102,multiplication(X_102,coantidomain(X_1720))),
inference(subst,[],[refute_0_1038:[bind(X_1717,$fot(X_102)),bind(X_7,$fot(X_1720))]]) ).
cnf(refute_0_1304,plain,
( X_102 != addition(X_102,multiplication(X_102,coantidomain(X_1720)))
| addition(X_102,multiplication(X_102,coantidomain(X_1720))) = X_102 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_102)),bind(Y,$fot(addition(X_102,multiplication(X_102,coantidomain(X_1720)))))]]) ).
cnf(refute_0_1305,plain,
addition(X_102,multiplication(X_102,coantidomain(X_1720))) = X_102,
inference(resolve,[$cnf( $equal(X_102,addition(X_102,multiplication(X_102,coantidomain(X_1720)))) )],[refute_0_1303,refute_0_1304]) ).
cnf(refute_0_1306,plain,
( addition(X_102,multiplication(X_102,coantidomain(X_1720))) != X_102
| addition(multiplication(X_102,coantidomain(X_1720)),addition(X_101,X_102)) != addition(X_101,addition(X_102,multiplication(X_102,coantidomain(X_1720))))
| addition(multiplication(X_102,coantidomain(X_1720)),addition(X_101,X_102)) = addition(X_101,X_102) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_102,coantidomain(X_1720)),addition(X_101,X_102)),addition(X_101,addition(X_102,multiplication(X_102,coantidomain(X_1720))))) ),[1,1],$fot(X_102)]]) ).
cnf(refute_0_1307,plain,
( addition(multiplication(X_102,coantidomain(X_1720)),addition(X_101,X_102)) != addition(X_101,addition(X_102,multiplication(X_102,coantidomain(X_1720))))
| addition(multiplication(X_102,coantidomain(X_1720)),addition(X_101,X_102)) = addition(X_101,X_102) ),
inference(resolve,[$cnf( $equal(addition(X_102,multiplication(X_102,coantidomain(X_1720))),X_102) )],[refute_0_1305,refute_0_1306]) ).
cnf(refute_0_1308,plain,
addition(multiplication(X_102,coantidomain(X_1720)),addition(X_101,X_102)) = addition(X_101,X_102),
inference(resolve,[$cnf( $equal(addition(multiplication(X_102,coantidomain(X_1720)),addition(X_101,X_102)),addition(X_101,addition(X_102,multiplication(X_102,coantidomain(X_1720))))) )],[refute_0_1302,refute_0_1307]) ).
cnf(refute_0_1309,plain,
addition(multiplication(X_102,coantidomain(X_1720)),addition(X_101,X_102)) = addition(X_102,addition(X_101,multiplication(X_102,coantidomain(X_1720)))),
inference(subst,[],[refute_0_311:[bind(X_768,$fot(X_102)),bind(X_769,$fot(multiplication(X_102,coantidomain(X_1720)))),bind(X_770,$fot(X_101))]]) ).
cnf(refute_0_1310,plain,
( addition(multiplication(X_102,coantidomain(X_1720)),addition(X_101,X_102)) != addition(X_101,X_102)
| addition(multiplication(X_102,coantidomain(X_1720)),addition(X_101,X_102)) != addition(X_102,addition(X_101,multiplication(X_102,coantidomain(X_1720))))
| addition(X_102,addition(X_101,multiplication(X_102,coantidomain(X_1720)))) = addition(X_101,X_102) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_102,coantidomain(X_1720)),addition(X_101,X_102)),addition(X_101,X_102)) ),[0],$fot(addition(X_102,addition(X_101,multiplication(X_102,coantidomain(X_1720)))))]]) ).
cnf(refute_0_1311,plain,
( addition(multiplication(X_102,coantidomain(X_1720)),addition(X_101,X_102)) != addition(X_101,X_102)
| addition(X_102,addition(X_101,multiplication(X_102,coantidomain(X_1720)))) = addition(X_101,X_102) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_102,coantidomain(X_1720)),addition(X_101,X_102)),addition(X_102,addition(X_101,multiplication(X_102,coantidomain(X_1720))))) )],[refute_0_1309,refute_0_1310]) ).
cnf(refute_0_1312,plain,
addition(X_102,addition(X_101,multiplication(X_102,coantidomain(X_1720)))) = addition(X_101,X_102),
inference(resolve,[$cnf( $equal(addition(multiplication(X_102,coantidomain(X_1720)),addition(X_101,X_102)),addition(X_101,X_102)) )],[refute_0_1308,refute_0_1311]) ).
cnf(refute_0_1313,plain,
addition(X_268,addition(X_269,multiplication(X_268,coantidomain(X_269)))) = addition(X_269,X_268),
inference(subst,[],[refute_0_1312:[bind(X_101,$fot(X_269)),bind(X_102,$fot(X_268)),bind(X_1720,$fot(X_269))]]) ).
cnf(refute_0_1314,plain,
( addition(X_268,X_269) != addition(X_268,addition(X_269,multiplication(X_268,coantidomain(X_269))))
| addition(X_268,addition(X_269,multiplication(X_268,coantidomain(X_269)))) != addition(X_269,X_268)
| addition(X_268,X_269) = addition(X_269,X_268) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_268,X_269),addition(X_269,X_268)) ),[0],$fot(addition(X_268,addition(X_269,multiplication(X_268,coantidomain(X_269)))))]]) ).
cnf(refute_0_1315,plain,
( addition(X_268,X_269) != addition(X_268,addition(X_269,multiplication(X_268,coantidomain(X_269))))
| addition(X_268,X_269) = addition(X_269,X_268) ),
inference(resolve,[$cnf( $equal(addition(X_268,addition(X_269,multiplication(X_268,coantidomain(X_269)))),addition(X_269,X_268)) )],[refute_0_1313,refute_0_1314]) ).
cnf(refute_0_1316,plain,
addition(X_268,X_269) = addition(X_269,X_268),
inference(resolve,[$cnf( $equal(addition(X_268,X_269),addition(X_268,addition(X_269,multiplication(X_268,coantidomain(X_269))))) )],[refute_0_1301,refute_0_1315]) ).
cnf(refute_0_1317,plain,
( addition(X_268,X_269) != addition(X_269,X_268)
| addition(X_269,X_268) = addition(X_268,X_269) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(addition(X_268,X_269))),bind(Y,$fot(addition(X_269,X_268)))]]) ).
cnf(refute_0_1318,plain,
addition(X_269,X_268) = addition(X_268,X_269),
inference(resolve,[$cnf( $equal(addition(X_268,X_269),addition(X_269,X_268)) )],[refute_0_1316,refute_0_1317]) ).
cnf(refute_0_1319,plain,
addition(coantidomain(antidomain(domain(X_128))),domain(X_128)) = addition(domain(X_128),coantidomain(antidomain(domain(X_128)))),
inference(subst,[],[refute_0_1318:[bind(X_268,$fot(domain(X_128))),bind(X_269,$fot(coantidomain(antidomain(domain(X_128)))))]]) ).
cnf(refute_0_1320,plain,
( addition(coantidomain(antidomain(domain(X_128))),domain(X_128)) != addition(domain(X_128),coantidomain(antidomain(domain(X_128))))
| addition(domain(X_128),coantidomain(antidomain(domain(X_128)))) != domain(X_128)
| addition(coantidomain(antidomain(domain(X_128))),domain(X_128)) = domain(X_128) ),
inference(subst,[],[refute_0_139:[bind(X,$fot(addition(coantidomain(antidomain(domain(X_128))),domain(X_128)))),bind(Y,$fot(addition(domain(X_128),coantidomain(antidomain(domain(X_128)))))),bind(Z,$fot(domain(X_128)))]]) ).
cnf(refute_0_1321,plain,
( addition(domain(X_128),coantidomain(antidomain(domain(X_128)))) != domain(X_128)
| addition(coantidomain(antidomain(domain(X_128))),domain(X_128)) = domain(X_128) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(antidomain(domain(X_128))),domain(X_128)),addition(domain(X_128),coantidomain(antidomain(domain(X_128))))) )],[refute_0_1319,refute_0_1320]) ).
cnf(refute_0_1322,plain,
addition(coantidomain(antidomain(domain(X_128))),domain(X_128)) = domain(X_128),
inference(resolve,[$cnf( $equal(addition(domain(X_128),coantidomain(antidomain(domain(X_128)))),domain(X_128)) )],[refute_0_1080,refute_0_1321]) ).
cnf(refute_0_1323,plain,
( addition(coantidomain(antidomain(domain(X_128))),domain(X_128)) != domain(X_128)
| coantidomain(antidomain(X_128)) != addition(coantidomain(antidomain(domain(X_128))),domain(X_128))
| coantidomain(antidomain(X_128)) = domain(X_128) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(antidomain(X_128)),addition(coantidomain(antidomain(domain(X_128))),domain(X_128))) ),[1],$fot(domain(X_128))]]) ).
cnf(refute_0_1324,plain,
( coantidomain(antidomain(X_128)) != addition(coantidomain(antidomain(domain(X_128))),domain(X_128))
| coantidomain(antidomain(X_128)) = domain(X_128) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(antidomain(domain(X_128))),domain(X_128)),domain(X_128)) )],[refute_0_1322,refute_0_1323]) ).
cnf(refute_0_1325,plain,
( coantidomain(antidomain(domain(X_128))) != addition(coantidomain(antidomain(domain(X_128))),domain(X_128))
| coantidomain(antidomain(X_128)) = domain(X_128) ),
inference(resolve,[$cnf( $equal(coantidomain(antidomain(X_128)),addition(coantidomain(antidomain(domain(X_128))),domain(X_128))) )],[refute_0_1009,refute_0_1324]) ).
cnf(refute_0_1326,plain,
coantidomain(antidomain(X_128)) = domain(X_128),
inference(resolve,[$cnf( $equal(coantidomain(antidomain(domain(X_128))),addition(coantidomain(antidomain(domain(X_128))),domain(X_128))) )],[refute_0_865,refute_0_1325]) ).
cnf(refute_0_1327,plain,
coantidomain(antidomain(X_2808)) = domain(X_2808),
inference(subst,[],[refute_0_1326:[bind(X_128,$fot(X_2808))]]) ).
cnf(refute_0_1328,plain,
( coantidomain(antidomain(X_2808)) != domain(X_2808)
| codomain(coantidomain(antidomain(X_2808))) != coantidomain(antidomain(X_2808))
| codomain(domain(X_2808)) = coantidomain(antidomain(X_2808)) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(coantidomain(antidomain(X_2808))),coantidomain(antidomain(X_2808))) ),[0,0],$fot(domain(X_2808))]]) ).
cnf(refute_0_1329,plain,
( codomain(coantidomain(antidomain(X_2808))) != coantidomain(antidomain(X_2808))
| codomain(domain(X_2808)) = coantidomain(antidomain(X_2808)) ),
inference(resolve,[$cnf( $equal(coantidomain(antidomain(X_2808)),domain(X_2808)) )],[refute_0_1327,refute_0_1328]) ).
cnf(refute_0_1330,plain,
codomain(domain(X_2808)) = coantidomain(antidomain(X_2808)),
inference(resolve,[$cnf( $equal(codomain(coantidomain(antidomain(X_2808))),coantidomain(antidomain(X_2808))) )],[refute_0_604,refute_0_1329]) ).
cnf(refute_0_1331,plain,
( coantidomain(antidomain(X_2808)) != domain(X_2808)
| codomain(domain(X_2808)) != coantidomain(antidomain(X_2808))
| codomain(domain(X_2808)) = domain(X_2808) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(domain(X_2808)),coantidomain(antidomain(X_2808))) ),[1],$fot(domain(X_2808))]]) ).
cnf(refute_0_1332,plain,
( codomain(domain(X_2808)) != coantidomain(antidomain(X_2808))
| codomain(domain(X_2808)) = domain(X_2808) ),
inference(resolve,[$cnf( $equal(coantidomain(antidomain(X_2808)),domain(X_2808)) )],[refute_0_1327,refute_0_1331]) ).
cnf(refute_0_1333,plain,
codomain(domain(X_2808)) = domain(X_2808),
inference(resolve,[$cnf( $equal(codomain(domain(X_2808)),coantidomain(antidomain(X_2808))) )],[refute_0_1330,refute_0_1332]) ).
cnf(refute_0_1334,plain,
codomain(domain(skolemFOFtoCNF_X0)) = domain(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_1333:[bind(X_2808,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1335,plain,
( codomain(domain(skolemFOFtoCNF_X0)) != domain(skolemFOFtoCNF_X0)
| domain(skolemFOFtoCNF_X0) != domain(skolemFOFtoCNF_X0)
| codomain(domain(skolemFOFtoCNF_X0)) = domain(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)) ),[0],$fot(domain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1336,plain,
( domain(skolemFOFtoCNF_X0) != domain(skolemFOFtoCNF_X0)
| codomain(domain(skolemFOFtoCNF_X0)) = domain(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)) )],[refute_0_1334,refute_0_1335]) ).
cnf(refute_0_1337,plain,
domain(skolemFOFtoCNF_X0) != domain(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)) )],[refute_0_1336,refute_0_571]) ).
cnf(refute_0_1338,plain,
domain(skolemFOFtoCNF_X0) = domain(skolemFOFtoCNF_X0),
introduced(tautology,[refl,[$fot(domain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1339,plain,
$false,
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) )],[refute_0_1338,refute_0_1337]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE120+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n006.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 15:05:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 27.51/27.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.51/27.78
% 27.51/27.78 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 27.77/27.94
%------------------------------------------------------------------------------