TSTP Solution File: KLE088+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE088+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 02:15:10 EDT 2022
% Result : Theorem 6.01s 6.26s
% Output : CNFRefutation 6.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 165
% Syntax : Number of formulae : 667 ( 368 unt; 0 def)
% Number of atoms : 1099 (1098 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 866 ( 434 ~; 427 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 676 ( 18 sgn 93 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(additive_associativity,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) ).
fof(additive_identity,axiom,
! [A] : addition(A,zero) = A ).
fof(additive_idempotence,axiom,
! [A] : addition(A,A) = A ).
fof(multiplicative_associativity,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) ).
fof(multiplicative_right_identity,axiom,
! [A] : multiplication(A,one) = A ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A ).
fof(right_distributivity,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ).
fof(left_distributivity,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ).
fof(left_annihilation,axiom,
! [A] : multiplication(zero,A) = zero ).
fof(domain1,axiom,
! [X0] : 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(goals,conjecture,
! [X0,X1] :
( multiplication(domain(X0),X1) = zero
=> addition(domain(X0),antidomain(X1)) = antidomain(X1) ) ).
fof(subgoal_0,plain,
! [X0,X1] :
( multiplication(domain(X0),X1) = zero
=> addition(domain(X0),antidomain(X1)) = antidomain(X1) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1] :
( multiplication(domain(X0),X1) = zero
=> addition(domain(X0),antidomain(X1)) = antidomain(X1) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_1,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_3,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_5,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(canonicalize,[],[codomain1]) ).
fof(normalize_0_7,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_9,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_11,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_13,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_15,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[domain4]) ).
fof(normalize_0_17,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_19,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_21,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [A] : multiplication(zero,A) = zero,
inference(canonicalize,[],[left_annihilation]) ).
fof(normalize_0_23,plain,
! [A] : multiplication(zero,A) = zero,
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,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_25,plain,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(canonicalize,[],[codomain4]) ).
fof(normalize_0_27,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
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,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(canonicalize,[],[codomain3]) ).
fof(normalize_0_31,plain,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_33,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,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_35,plain,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
? [X0,X1] :
( addition(domain(X0),antidomain(X1)) != antidomain(X1)
& multiplication(domain(X0),X1) = zero ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_37,plain,
( addition(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)) != antidomain(skolemFOFtoCNF_X1)
& multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1) = zero ),
inference(skolemize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1) = zero,
inference(conjunct,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
addition(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)) != antidomain(skolemFOFtoCNF_X1),
inference(conjunct,[],[normalize_0_37]) ).
cnf(refute_0_0,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
multiplication(addition(one,X_228),X_229) = addition(multiplication(one,X_229),multiplication(X_228,X_229)),
inference(subst,[],[refute_0_0:[bind(A,$fot(one)),bind(B,$fot(X_228)),bind(C,$fot(X_229))]]) ).
cnf(refute_0_2,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
multiplication(one,X_229) = X_229,
inference(subst,[],[refute_0_2:[bind(A,$fot(X_229))]]) ).
cnf(refute_0_4,plain,
( multiplication(addition(one,X_228),X_229) != addition(multiplication(one,X_229),multiplication(X_228,X_229))
| multiplication(one,X_229) != X_229
| multiplication(addition(one,X_228),X_229) = addition(X_229,multiplication(X_228,X_229)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_228),X_229),addition(multiplication(one,X_229),multiplication(X_228,X_229))) ),[1,0],$fot(X_229)]]) ).
cnf(refute_0_5,plain,
( multiplication(addition(one,X_228),X_229) != addition(multiplication(one,X_229),multiplication(X_228,X_229))
| multiplication(addition(one,X_228),X_229) = addition(X_229,multiplication(X_228,X_229)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_229),X_229) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
multiplication(addition(one,X_228),X_229) = addition(X_229,multiplication(X_228,X_229)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_228),X_229),addition(multiplication(one,X_229),multiplication(X_228,X_229))) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) = addition(antidomain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_6:[bind(X_228,$fot(domain(skolemFOFtoCNF_X0))),bind(X_229,$fot(antidomain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_8,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_9,plain,
multiplication(X_90,addition(X_91,coantidomain(X_90))) = addition(multiplication(X_90,X_91),multiplication(X_90,coantidomain(X_90))),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_90)),bind(B,$fot(X_91)),bind(C,$fot(coantidomain(X_90)))]]) ).
cnf(refute_0_10,plain,
multiplication(X0,coantidomain(X0)) = zero,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_11,plain,
multiplication(X_90,coantidomain(X_90)) = zero,
inference(subst,[],[refute_0_10:[bind(X0,$fot(X_90))]]) ).
cnf(refute_0_12,plain,
( multiplication(X_90,addition(X_91,coantidomain(X_90))) != addition(multiplication(X_90,X_91),multiplication(X_90,coantidomain(X_90)))
| multiplication(X_90,coantidomain(X_90)) != zero
| multiplication(X_90,addition(X_91,coantidomain(X_90))) = addition(multiplication(X_90,X_91),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_90,addition(X_91,coantidomain(X_90))),addition(multiplication(X_90,X_91),multiplication(X_90,coantidomain(X_90)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_13,plain,
( multiplication(X_90,addition(X_91,coantidomain(X_90))) != addition(multiplication(X_90,X_91),multiplication(X_90,coantidomain(X_90)))
| multiplication(X_90,addition(X_91,coantidomain(X_90))) = addition(multiplication(X_90,X_91),zero) ),
inference(resolve,[$cnf( $equal(multiplication(X_90,coantidomain(X_90)),zero) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
multiplication(X_90,addition(X_91,coantidomain(X_90))) = addition(multiplication(X_90,X_91),zero),
inference(resolve,[$cnf( $equal(multiplication(X_90,addition(X_91,coantidomain(X_90))),addition(multiplication(X_90,X_91),multiplication(X_90,coantidomain(X_90)))) )],[refute_0_9,refute_0_13]) ).
cnf(refute_0_15,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_16,plain,
addition(multiplication(X_90,X_91),zero) = multiplication(X_90,X_91),
inference(subst,[],[refute_0_15:[bind(A,$fot(multiplication(X_90,X_91)))]]) ).
cnf(refute_0_17,plain,
( addition(multiplication(X_90,X_91),zero) != multiplication(X_90,X_91)
| multiplication(X_90,addition(X_91,coantidomain(X_90))) != addition(multiplication(X_90,X_91),zero)
| multiplication(X_90,addition(X_91,coantidomain(X_90))) = multiplication(X_90,X_91) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_90,addition(X_91,coantidomain(X_90))),addition(multiplication(X_90,X_91),zero)) ),[1],$fot(multiplication(X_90,X_91))]]) ).
cnf(refute_0_18,plain,
( multiplication(X_90,addition(X_91,coantidomain(X_90))) != addition(multiplication(X_90,X_91),zero)
| multiplication(X_90,addition(X_91,coantidomain(X_90))) = multiplication(X_90,X_91) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_90,X_91),zero),multiplication(X_90,X_91)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
multiplication(X_90,addition(X_91,coantidomain(X_90))) = multiplication(X_90,X_91),
inference(resolve,[$cnf( $equal(multiplication(X_90,addition(X_91,coantidomain(X_90))),addition(multiplication(X_90,X_91),zero)) )],[refute_0_14,refute_0_18]) ).
cnf(refute_0_20,plain,
multiplication(domain(skolemFOFtoCNF_X0),addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0)))) = multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_19:[bind(X_90,$fot(domain(skolemFOFtoCNF_X0))),bind(X_91,$fot(antidomain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_21,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_22,plain,
addition(antidomain(X0),addition(domain(X0),X_51)) = addition(addition(antidomain(X0),domain(X0)),X_51),
inference(subst,[],[refute_0_21:[bind(A,$fot(antidomain(X0))),bind(B,$fot(domain(X0))),bind(C,$fot(X_51))]]) ).
cnf(refute_0_23,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_24,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_25,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_26,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_27,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_29,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_24,refute_0_28]) ).
cnf(refute_0_30,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(subst,[],[refute_0_29:[bind(A,$fot(antidomain(X0))),bind(B,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_31,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != addition(antidomain(X0),antidomain(antidomain(X0)))
| addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) ),[0],$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_32,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) )],[refute_0_23,refute_0_32]) ).
cnf(refute_0_34,plain,
domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_35,plain,
( domain(X0) != antidomain(antidomain(X0))
| antidomain(antidomain(X0)) = domain(X0) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(domain(X0))),bind(Y,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_36,plain,
antidomain(antidomain(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(domain(X0),antidomain(antidomain(X0))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(antidomain(X0))),
introduced(tautology,[refl,[$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_38,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_39,plain,
( antidomain(antidomain(X0)) != domain(X0)
| addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) ),[0],$fot(addition(antidomain(X0),domain(X0)))]]) ).
cnf(refute_0_42,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),domain(X0))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
addition(antidomain(X0),domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) )],[refute_0_33,refute_0_42]) ).
cnf(refute_0_44,plain,
( addition(antidomain(X0),addition(domain(X0),X_51)) != addition(addition(antidomain(X0),domain(X0)),X_51)
| addition(antidomain(X0),domain(X0)) != one
| addition(antidomain(X0),addition(domain(X0),X_51)) = addition(one,X_51) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),X_51)),addition(addition(antidomain(X0),domain(X0)),X_51)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_45,plain,
( addition(antidomain(X0),addition(domain(X0),X_51)) != addition(addition(antidomain(X0),domain(X0)),X_51)
| addition(antidomain(X0),addition(domain(X0),X_51)) = addition(one,X_51) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
addition(antidomain(X0),addition(domain(X0),X_51)) = addition(one,X_51),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),X_51)),addition(addition(antidomain(X0),domain(X0)),X_51)) )],[refute_0_22,refute_0_45]) ).
cnf(refute_0_47,plain,
addition(antidomain(skolemFOFtoCNF_X1),addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0)))) = addition(one,coantidomain(domain(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_46:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X_51,$fot(coantidomain(domain(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_48,plain,
multiplication(X_90,addition(one,X_92)) = addition(multiplication(X_90,one),multiplication(X_90,X_92)),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_90)),bind(B,$fot(one)),bind(C,$fot(X_92))]]) ).
cnf(refute_0_49,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_50,plain,
multiplication(X_90,one) = X_90,
inference(subst,[],[refute_0_49:[bind(A,$fot(X_90))]]) ).
cnf(refute_0_51,plain,
( multiplication(X_90,addition(one,X_92)) != addition(multiplication(X_90,one),multiplication(X_90,X_92))
| multiplication(X_90,one) != X_90
| multiplication(X_90,addition(one,X_92)) = addition(X_90,multiplication(X_90,X_92)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_90,addition(one,X_92)),addition(multiplication(X_90,one),multiplication(X_90,X_92))) ),[1,0],$fot(X_90)]]) ).
cnf(refute_0_52,plain,
( multiplication(X_90,addition(one,X_92)) != addition(multiplication(X_90,one),multiplication(X_90,X_92))
| multiplication(X_90,addition(one,X_92)) = addition(X_90,multiplication(X_90,X_92)) ),
inference(resolve,[$cnf( $equal(multiplication(X_90,one),X_90) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
multiplication(X_90,addition(one,X_92)) = addition(X_90,multiplication(X_90,X_92)),
inference(resolve,[$cnf( $equal(multiplication(X_90,addition(one,X_92)),addition(multiplication(X_90,one),multiplication(X_90,X_92))) )],[refute_0_48,refute_0_52]) ).
cnf(refute_0_54,plain,
multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) = addition(coantidomain(domain(skolemFOFtoCNF_X0)),multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_53:[bind(X_90,$fot(coantidomain(domain(skolemFOFtoCNF_X0)))),bind(X_92,$fot(domain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_55,plain,
multiplication(addition(A,codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)) = addition(multiplication(A,domain(skolemFOFtoCNF_X1)),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_0:[bind(B,$fot(codomain(domain(skolemFOFtoCNF_X0)))),bind(C,$fot(domain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_56,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_57,plain,
multiplication(X_21,multiplication(coantidomain(X_21),X_23)) = multiplication(multiplication(X_21,coantidomain(X_21)),X_23),
inference(subst,[],[refute_0_56:[bind(A,$fot(X_21)),bind(B,$fot(coantidomain(X_21))),bind(C,$fot(X_23))]]) ).
cnf(refute_0_58,plain,
multiplication(X_21,coantidomain(X_21)) = zero,
inference(subst,[],[refute_0_10:[bind(X0,$fot(X_21))]]) ).
cnf(refute_0_59,plain,
( multiplication(X_21,coantidomain(X_21)) != zero
| multiplication(X_21,multiplication(coantidomain(X_21),X_23)) != multiplication(multiplication(X_21,coantidomain(X_21)),X_23)
| multiplication(X_21,multiplication(coantidomain(X_21),X_23)) = multiplication(zero,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_21,multiplication(coantidomain(X_21),X_23)),multiplication(multiplication(X_21,coantidomain(X_21)),X_23)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_60,plain,
( multiplication(X_21,multiplication(coantidomain(X_21),X_23)) != multiplication(multiplication(X_21,coantidomain(X_21)),X_23)
| multiplication(X_21,multiplication(coantidomain(X_21),X_23)) = multiplication(zero,X_23) ),
inference(resolve,[$cnf( $equal(multiplication(X_21,coantidomain(X_21)),zero) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
multiplication(X_21,multiplication(coantidomain(X_21),X_23)) = multiplication(zero,X_23),
inference(resolve,[$cnf( $equal(multiplication(X_21,multiplication(coantidomain(X_21),X_23)),multiplication(multiplication(X_21,coantidomain(X_21)),X_23)) )],[refute_0_57,refute_0_60]) ).
cnf(refute_0_62,plain,
multiplication(zero,A) = zero,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_63,plain,
multiplication(zero,X_23) = zero,
inference(subst,[],[refute_0_62:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_64,plain,
( multiplication(X_21,multiplication(coantidomain(X_21),X_23)) != multiplication(zero,X_23)
| multiplication(zero,X_23) != zero
| multiplication(X_21,multiplication(coantidomain(X_21),X_23)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiplication(X_21,multiplication(coantidomain(X_21),X_23)),zero) ),[0],$fot(multiplication(zero,X_23))]]) ).
cnf(refute_0_65,plain,
( multiplication(X_21,multiplication(coantidomain(X_21),X_23)) != multiplication(zero,X_23)
| multiplication(X_21,multiplication(coantidomain(X_21),X_23)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(zero,X_23),zero) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
multiplication(X_21,multiplication(coantidomain(X_21),X_23)) = zero,
inference(resolve,[$cnf( $equal(multiplication(X_21,multiplication(coantidomain(X_21),X_23)),multiplication(zero,X_23)) )],[refute_0_61,refute_0_65]) ).
cnf(refute_0_67,plain,
multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(coantidomain(multiplication(codomain(antidomain(X_211)),X_211)),X_23)) = zero,
inference(subst,[],[refute_0_66:[bind(X_21,$fot(multiplication(codomain(antidomain(X_211)),X_211)))]]) ).
cnf(refute_0_68,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_69,plain,
codomain(X0) = coantidomain(coantidomain(X0)),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_70,plain,
( codomain(X0) != coantidomain(coantidomain(X0))
| coantidomain(coantidomain(X0)) = codomain(X0) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(codomain(X0))),bind(Y,$fot(coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_71,plain,
coantidomain(coantidomain(X0)) = codomain(X0),
inference(resolve,[$cnf( $equal(codomain(X0),coantidomain(coantidomain(X0))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(coantidomain(coantidomain(X0)),X1),
introduced(tautology,[refl,[$fot(multiplication(coantidomain(coantidomain(X0)),X1))]]) ).
cnf(refute_0_73,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_74,plain,
( coantidomain(coantidomain(X0)) != codomain(X0)
| multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(codomain(X0),X1) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(coantidomain(X0)),X1),multiplication(coantidomain(coantidomain(X0)),X1)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
multiplication(coantidomain(coantidomain(X0)),X1) = multiplication(codomain(X0),X1),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
introduced(tautology,[refl,[$fot(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))]]) ).
cnf(refute_0_77,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_78,plain,
( multiplication(coantidomain(coantidomain(X0)),X1) != multiplication(codomain(X0),X1)
| coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(codomain(X0),X1)) ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = coantidomain(multiplication(codomain(X0),X1)),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(coantidomain(X0)),X1),multiplication(codomain(X0),X1)) )],[refute_0_75,refute_0_78]) ).
cnf(refute_0_80,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
introduced(tautology,[refl,[$fot(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))))]]) ).
cnf(refute_0_81,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_82,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( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(codomain(X0),X1))) )],[refute_0_79,refute_0_82]) ).
cnf(refute_0_84,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1)))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) ),
introduced(tautology,[equality,[$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_85,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( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1)))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) != coantidomain(multiplication(codomain(X0),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)) ),
introduced(tautology,[equality,[$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_87,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( $equal(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),coantidomain(multiplication(codomain(X0),X1))) )],[refute_0_79,refute_0_86]) ).
cnf(refute_0_88,plain,
( addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) != coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))
| addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) )],[refute_0_85,refute_0_87]) ).
cnf(refute_0_89,plain,
addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(codomain(X0),X1))) = coantidomain(multiplication(codomain(X0),X1)),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) )],[refute_0_68,refute_0_88]) ).
cnf(refute_0_90,plain,
addition(coantidomain(multiplication(antidomain(X_42),X_42)),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) = coantidomain(multiplication(codomain(antidomain(X_42)),X_42)),
inference(subst,[],[refute_0_89:[bind(X0,$fot(antidomain(X_42))),bind(X1,$fot(X_42))]]) ).
cnf(refute_0_91,plain,
multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_92,plain,
multiplication(antidomain(X_42),X_42) = zero,
inference(subst,[],[refute_0_91:[bind(X0,$fot(X_42))]]) ).
cnf(refute_0_93,plain,
( addition(coantidomain(multiplication(antidomain(X_42),X_42)),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) != coantidomain(multiplication(codomain(antidomain(X_42)),X_42))
| multiplication(antidomain(X_42),X_42) != zero
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) = coantidomain(multiplication(codomain(antidomain(X_42)),X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(antidomain(X_42),X_42)),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_94,plain,
( addition(coantidomain(multiplication(antidomain(X_42),X_42)),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) != coantidomain(multiplication(codomain(antidomain(X_42)),X_42))
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) = coantidomain(multiplication(codomain(antidomain(X_42)),X_42)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_42),X_42),zero) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) = coantidomain(multiplication(codomain(antidomain(X_42)),X_42)),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(antidomain(X_42),X_42)),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) )],[refute_0_90,refute_0_94]) ).
cnf(refute_0_96,plain,
addition(zero,coantidomain(zero)) = addition(coantidomain(zero),zero),
inference(subst,[],[refute_0_24:[bind(A,$fot(zero)),bind(B,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_97,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_98,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(subst,[],[refute_0_29:[bind(A,$fot(coantidomain(X0))),bind(B,$fot(coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_99,plain,
( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != addition(coantidomain(X0),coantidomain(coantidomain(X0)))
| addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) ),[0],$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_100,plain,
( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) )],[refute_0_97,refute_0_100]) ).
cnf(refute_0_102,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
introduced(tautology,[refl,[$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_103,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_104,plain,
( coantidomain(coantidomain(X0)) != codomain(X0)
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_71,refute_0_104]) ).
cnf(refute_0_106,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != addition(coantidomain(X0),codomain(X0))
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
| addition(coantidomain(X0),codomain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) ),[0],$fot(addition(coantidomain(X0),codomain(X0)))]]) ).
cnf(refute_0_107,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
| addition(coantidomain(X0),codomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),codomain(X0))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
addition(coantidomain(X0),codomain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) )],[refute_0_101,refute_0_107]) ).
cnf(refute_0_109,plain,
addition(coantidomain(one),codomain(one)) = one,
inference(subst,[],[refute_0_108:[bind(X0,$fot(one))]]) ).
cnf(refute_0_110,plain,
codomain(one) = coantidomain(coantidomain(one)),
inference(subst,[],[refute_0_69:[bind(X0,$fot(one))]]) ).
cnf(refute_0_111,plain,
multiplication(one,coantidomain(one)) = zero,
inference(subst,[],[refute_0_10:[bind(X0,$fot(one))]]) ).
cnf(refute_0_112,plain,
multiplication(one,coantidomain(one)) = coantidomain(one),
inference(subst,[],[refute_0_2:[bind(A,$fot(coantidomain(one)))]]) ).
cnf(refute_0_113,plain,
( multiplication(one,coantidomain(one)) != coantidomain(one)
| multiplication(one,coantidomain(one)) != zero
| coantidomain(one) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,coantidomain(one)),zero) ),[0],$fot(coantidomain(one))]]) ).
cnf(refute_0_114,plain,
( multiplication(one,coantidomain(one)) != zero
| coantidomain(one) = zero ),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(one)),coantidomain(one)) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
coantidomain(one) = zero,
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(one)),zero) )],[refute_0_111,refute_0_114]) ).
cnf(refute_0_116,plain,
( coantidomain(one) != zero
| codomain(one) != coantidomain(coantidomain(one))
| codomain(one) = coantidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(one),coantidomain(coantidomain(one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_117,plain,
( codomain(one) != coantidomain(coantidomain(one))
| codomain(one) = coantidomain(zero) ),
inference(resolve,[$cnf( $equal(coantidomain(one),zero) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
codomain(one) = coantidomain(zero),
inference(resolve,[$cnf( $equal(codomain(one),coantidomain(coantidomain(one))) )],[refute_0_110,refute_0_117]) ).
cnf(refute_0_119,plain,
( addition(coantidomain(one),codomain(one)) != one
| codomain(one) != coantidomain(zero)
| addition(coantidomain(one),coantidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),codomain(one)),one) ),[0,1],$fot(coantidomain(zero))]]) ).
cnf(refute_0_120,plain,
( addition(coantidomain(one),codomain(one)) != one
| addition(coantidomain(one),coantidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(codomain(one),coantidomain(zero)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
addition(coantidomain(one),coantidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(one),codomain(one)),one) )],[refute_0_109,refute_0_120]) ).
cnf(refute_0_122,plain,
addition(coantidomain(one),coantidomain(zero)) = addition(coantidomain(one),coantidomain(zero)),
introduced(tautology,[refl,[$fot(addition(coantidomain(one),coantidomain(zero)))]]) ).
cnf(refute_0_123,plain,
( addition(coantidomain(one),coantidomain(zero)) != addition(coantidomain(one),coantidomain(zero))
| coantidomain(one) != zero
| addition(coantidomain(one),coantidomain(zero)) = addition(zero,coantidomain(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),addition(coantidomain(one),coantidomain(zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_124,plain,
( coantidomain(one) != zero
| addition(coantidomain(one),coantidomain(zero)) = addition(zero,coantidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),addition(coantidomain(one),coantidomain(zero))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
addition(coantidomain(one),coantidomain(zero)) = addition(zero,coantidomain(zero)),
inference(resolve,[$cnf( $equal(coantidomain(one),zero) )],[refute_0_115,refute_0_124]) ).
cnf(refute_0_126,plain,
( addition(coantidomain(one),coantidomain(zero)) != addition(zero,coantidomain(zero))
| addition(coantidomain(one),coantidomain(zero)) != one
| addition(zero,coantidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),one) ),[0],$fot(addition(zero,coantidomain(zero)))]]) ).
cnf(refute_0_127,plain,
( addition(coantidomain(one),coantidomain(zero)) != one
| addition(zero,coantidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),addition(zero,coantidomain(zero))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
addition(zero,coantidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),one) )],[refute_0_121,refute_0_127]) ).
cnf(refute_0_129,plain,
( addition(zero,coantidomain(zero)) != addition(coantidomain(zero),zero)
| addition(zero,coantidomain(zero)) != one
| one = addition(coantidomain(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,coantidomain(zero)),addition(coantidomain(zero),zero)) ),[0],$fot(one)]]) ).
cnf(refute_0_130,plain,
( addition(zero,coantidomain(zero)) != addition(coantidomain(zero),zero)
| one = addition(coantidomain(zero),zero) ),
inference(resolve,[$cnf( $equal(addition(zero,coantidomain(zero)),one) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
one = addition(coantidomain(zero),zero),
inference(resolve,[$cnf( $equal(addition(zero,coantidomain(zero)),addition(coantidomain(zero),zero)) )],[refute_0_96,refute_0_130]) ).
cnf(refute_0_132,plain,
addition(coantidomain(zero),zero) = coantidomain(zero),
inference(subst,[],[refute_0_15:[bind(A,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_133,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_134,plain,
( one != addition(coantidomain(zero),zero)
| one = coantidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),zero),coantidomain(zero)) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
one = coantidomain(zero),
inference(resolve,[$cnf( $equal(one,addition(coantidomain(zero),zero)) )],[refute_0_131,refute_0_134]) ).
cnf(refute_0_136,plain,
( one != coantidomain(zero)
| coantidomain(zero) = one ),
inference(subst,[],[refute_0_27:[bind(X,$fot(one)),bind(Y,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_137,plain,
coantidomain(zero) = one,
inference(resolve,[$cnf( $equal(one,coantidomain(zero)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) = addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))),
introduced(tautology,[refl,[$fot(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))))]]) ).
cnf(refute_0_139,plain,
( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) != addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42)))
| coantidomain(zero) != one
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) = addition(one,coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))),addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_140,plain,
( coantidomain(zero) != one
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) = addition(one,coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))),addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42)))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) = addition(one,coantidomain(multiplication(codomain(antidomain(X_42)),X_42))),
inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) != addition(one,coantidomain(multiplication(codomain(antidomain(X_42)),X_42)))
| addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) != coantidomain(multiplication(codomain(antidomain(X_42)),X_42))
| addition(one,coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) = coantidomain(multiplication(codomain(antidomain(X_42)),X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) ),[0],$fot(addition(one,coantidomain(multiplication(codomain(antidomain(X_42)),X_42))))]]) ).
cnf(refute_0_143,plain,
( addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) != coantidomain(multiplication(codomain(antidomain(X_42)),X_42))
| addition(one,coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) = coantidomain(multiplication(codomain(antidomain(X_42)),X_42)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))),addition(one,coantidomain(multiplication(codomain(antidomain(X_42)),X_42)))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
addition(one,coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) = coantidomain(multiplication(codomain(antidomain(X_42)),X_42)),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) )],[refute_0_95,refute_0_143]) ).
cnf(refute_0_145,plain,
addition(coantidomain(X0),addition(codomain(X0),X_51)) = addition(addition(coantidomain(X0),codomain(X0)),X_51),
inference(subst,[],[refute_0_21:[bind(A,$fot(coantidomain(X0))),bind(B,$fot(codomain(X0))),bind(C,$fot(X_51))]]) ).
cnf(refute_0_146,plain,
( addition(coantidomain(X0),addition(codomain(X0),X_51)) != addition(addition(coantidomain(X0),codomain(X0)),X_51)
| addition(coantidomain(X0),codomain(X0)) != one
| addition(coantidomain(X0),addition(codomain(X0),X_51)) = addition(one,X_51) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),addition(codomain(X0),X_51)),addition(addition(coantidomain(X0),codomain(X0)),X_51)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_147,plain,
( addition(coantidomain(X0),addition(codomain(X0),X_51)) != addition(addition(coantidomain(X0),codomain(X0)),X_51)
| addition(coantidomain(X0),addition(codomain(X0),X_51)) = addition(one,X_51) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),codomain(X0)),one) )],[refute_0_108,refute_0_146]) ).
cnf(refute_0_148,plain,
addition(coantidomain(X0),addition(codomain(X0),X_51)) = addition(one,X_51),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),addition(codomain(X0),X_51)),addition(addition(coantidomain(X0),codomain(X0)),X_51)) )],[refute_0_145,refute_0_147]) ).
cnf(refute_0_149,plain,
addition(coantidomain(X_52),addition(codomain(X_52),codomain(X_52))) = addition(one,codomain(X_52)),
inference(subst,[],[refute_0_148:[bind(X0,$fot(X_52)),bind(X_51,$fot(codomain(X_52)))]]) ).
cnf(refute_0_150,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_151,plain,
addition(codomain(X_52),codomain(X_52)) = codomain(X_52),
inference(subst,[],[refute_0_150:[bind(A,$fot(codomain(X_52)))]]) ).
cnf(refute_0_152,plain,
( addition(coantidomain(X_52),addition(codomain(X_52),codomain(X_52))) != addition(one,codomain(X_52))
| addition(codomain(X_52),codomain(X_52)) != codomain(X_52)
| addition(coantidomain(X_52),codomain(X_52)) = addition(one,codomain(X_52)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_52),addition(codomain(X_52),codomain(X_52))),addition(one,codomain(X_52))) ),[0,1],$fot(codomain(X_52))]]) ).
cnf(refute_0_153,plain,
( addition(coantidomain(X_52),addition(codomain(X_52),codomain(X_52))) != addition(one,codomain(X_52))
| addition(coantidomain(X_52),codomain(X_52)) = addition(one,codomain(X_52)) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_52),codomain(X_52)),codomain(X_52)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
addition(coantidomain(X_52),codomain(X_52)) = addition(one,codomain(X_52)),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_52),addition(codomain(X_52),codomain(X_52))),addition(one,codomain(X_52))) )],[refute_0_149,refute_0_153]) ).
cnf(refute_0_155,plain,
addition(coantidomain(X_52),codomain(X_52)) = one,
inference(subst,[],[refute_0_108:[bind(X0,$fot(X_52))]]) ).
cnf(refute_0_156,plain,
( addition(coantidomain(X_52),codomain(X_52)) != addition(one,codomain(X_52))
| addition(coantidomain(X_52),codomain(X_52)) != one
| one = addition(one,codomain(X_52)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_52),codomain(X_52)),addition(one,codomain(X_52))) ),[0],$fot(one)]]) ).
cnf(refute_0_157,plain,
( addition(coantidomain(X_52),codomain(X_52)) != addition(one,codomain(X_52))
| one = addition(one,codomain(X_52)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_52),codomain(X_52)),one) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
one = addition(one,codomain(X_52)),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_52),codomain(X_52)),addition(one,codomain(X_52))) )],[refute_0_154,refute_0_157]) ).
cnf(refute_0_159,plain,
one = addition(one,codomain(coantidomain(X_10))),
inference(subst,[],[refute_0_158:[bind(X_52,$fot(coantidomain(X_10)))]]) ).
cnf(refute_0_160,plain,
codomain(coantidomain(X_10)) = coantidomain(coantidomain(coantidomain(X_10))),
inference(subst,[],[refute_0_69:[bind(X0,$fot(coantidomain(X_10)))]]) ).
cnf(refute_0_161,plain,
codomain(X_10) = coantidomain(coantidomain(X_10)),
inference(subst,[],[refute_0_69:[bind(X0,$fot(X_10))]]) ).
cnf(refute_0_162,plain,
( codomain(X_10) != coantidomain(coantidomain(X_10))
| coantidomain(coantidomain(X_10)) = codomain(X_10) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(codomain(X_10))),bind(Y,$fot(coantidomain(coantidomain(X_10))))]]) ).
cnf(refute_0_163,plain,
coantidomain(coantidomain(X_10)) = codomain(X_10),
inference(resolve,[$cnf( $equal(codomain(X_10),coantidomain(coantidomain(X_10))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
( coantidomain(coantidomain(X_10)) != codomain(X_10)
| codomain(coantidomain(X_10)) != coantidomain(coantidomain(coantidomain(X_10)))
| codomain(coantidomain(X_10)) = coantidomain(codomain(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(coantidomain(X_10)),coantidomain(coantidomain(coantidomain(X_10)))) ),[1,0],$fot(codomain(X_10))]]) ).
cnf(refute_0_165,plain,
( codomain(coantidomain(X_10)) != coantidomain(coantidomain(coantidomain(X_10)))
| codomain(coantidomain(X_10)) = coantidomain(codomain(X_10)) ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X_10)),codomain(X_10)) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
codomain(coantidomain(X_10)) = coantidomain(codomain(X_10)),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_10)),coantidomain(coantidomain(coantidomain(X_10)))) )],[refute_0_160,refute_0_165]) ).
cnf(refute_0_167,plain,
( codomain(coantidomain(X_10)) != coantidomain(codomain(X_10))
| one != addition(one,codomain(coantidomain(X_10)))
| one = addition(one,coantidomain(codomain(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,codomain(coantidomain(X_10)))) ),[1,1],$fot(coantidomain(codomain(X_10)))]]) ).
cnf(refute_0_168,plain,
( one != addition(one,codomain(coantidomain(X_10)))
| one = addition(one,coantidomain(codomain(X_10))) ),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X_10)),coantidomain(codomain(X_10))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
one = addition(one,coantidomain(codomain(X_10))),
inference(resolve,[$cnf( $equal(one,addition(one,codomain(coantidomain(X_10)))) )],[refute_0_159,refute_0_168]) ).
cnf(refute_0_170,plain,
addition(coantidomain(X_52),addition(codomain(X_52),coantidomain(codomain(X_52)))) = addition(one,coantidomain(codomain(X_52))),
inference(subst,[],[refute_0_148:[bind(X0,$fot(X_52)),bind(X_51,$fot(coantidomain(codomain(X_52))))]]) ).
cnf(refute_0_171,plain,
addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))) = one,
inference(subst,[],[refute_0_108:[bind(X0,$fot(coantidomain(X0)))]]) ).
cnf(refute_0_172,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_173,plain,
( addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))) != one
| addition(codomain(X0),codomain(coantidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_71,refute_0_172]) ).
cnf(refute_0_174,plain,
addition(codomain(X0),codomain(coantidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),codomain(coantidomain(X0))),one) )],[refute_0_171,refute_0_173]) ).
cnf(refute_0_175,plain,
codomain(coantidomain(X0)) = coantidomain(codomain(X0)),
inference(subst,[],[refute_0_166:[bind(X_10,$fot(X0))]]) ).
cnf(refute_0_176,plain,
addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),codomain(coantidomain(X0))),
introduced(tautology,[refl,[$fot(addition(codomain(X0),codomain(coantidomain(X0))))]]) ).
cnf(refute_0_177,plain,
( addition(codomain(X0),codomain(coantidomain(X0))) != addition(codomain(X0),codomain(coantidomain(X0)))
| codomain(coantidomain(X0)) != coantidomain(codomain(X0))
| addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),coantidomain(codomain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),addition(codomain(X0),codomain(coantidomain(X0)))) ),[1,1],$fot(coantidomain(codomain(X0)))]]) ).
cnf(refute_0_178,plain,
( codomain(coantidomain(X0)) != coantidomain(codomain(X0))
| addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),coantidomain(codomain(X0))) ),
inference(resolve,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),addition(codomain(X0),codomain(coantidomain(X0)))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
addition(codomain(X0),codomain(coantidomain(X0))) = addition(codomain(X0),coantidomain(codomain(X0))),
inference(resolve,[$cnf( $equal(codomain(coantidomain(X0)),coantidomain(codomain(X0))) )],[refute_0_175,refute_0_178]) ).
cnf(refute_0_180,plain,
( addition(codomain(X0),codomain(coantidomain(X0))) != addition(codomain(X0),coantidomain(codomain(X0)))
| addition(codomain(X0),codomain(coantidomain(X0))) != one
| addition(codomain(X0),coantidomain(codomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),one) ),[0],$fot(addition(codomain(X0),coantidomain(codomain(X0))))]]) ).
cnf(refute_0_181,plain,
( addition(codomain(X0),codomain(coantidomain(X0))) != one
| addition(codomain(X0),coantidomain(codomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),addition(codomain(X0),coantidomain(codomain(X0)))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
addition(codomain(X0),coantidomain(codomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(codomain(X0),codomain(coantidomain(X0))),one) )],[refute_0_174,refute_0_181]) ).
cnf(refute_0_183,plain,
addition(codomain(X_52),coantidomain(codomain(X_52))) = one,
inference(subst,[],[refute_0_182:[bind(X0,$fot(X_52))]]) ).
cnf(refute_0_184,plain,
( addition(coantidomain(X_52),addition(codomain(X_52),coantidomain(codomain(X_52)))) != addition(one,coantidomain(codomain(X_52)))
| addition(codomain(X_52),coantidomain(codomain(X_52))) != one
| addition(coantidomain(X_52),one) = addition(one,coantidomain(codomain(X_52))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_52),addition(codomain(X_52),coantidomain(codomain(X_52)))),addition(one,coantidomain(codomain(X_52)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_185,plain,
( addition(coantidomain(X_52),addition(codomain(X_52),coantidomain(codomain(X_52)))) != addition(one,coantidomain(codomain(X_52)))
| addition(coantidomain(X_52),one) = addition(one,coantidomain(codomain(X_52))) ),
inference(resolve,[$cnf( $equal(addition(codomain(X_52),coantidomain(codomain(X_52))),one) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
addition(coantidomain(X_52),one) = addition(one,coantidomain(codomain(X_52))),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_52),addition(codomain(X_52),coantidomain(codomain(X_52)))),addition(one,coantidomain(codomain(X_52)))) )],[refute_0_170,refute_0_185]) ).
cnf(refute_0_187,plain,
addition(coantidomain(X_52),one) = addition(one,coantidomain(X_52)),
inference(subst,[],[refute_0_29:[bind(A,$fot(one)),bind(B,$fot(coantidomain(X_52)))]]) ).
cnf(refute_0_188,plain,
( addition(coantidomain(X_52),one) != addition(one,coantidomain(X_52))
| addition(coantidomain(X_52),one) != addition(one,coantidomain(codomain(X_52)))
| addition(one,coantidomain(X_52)) = addition(one,coantidomain(codomain(X_52))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X_52),one),addition(one,coantidomain(codomain(X_52)))) ),[0],$fot(addition(one,coantidomain(X_52)))]]) ).
cnf(refute_0_189,plain,
( addition(coantidomain(X_52),one) != addition(one,coantidomain(codomain(X_52)))
| addition(one,coantidomain(X_52)) = addition(one,coantidomain(codomain(X_52))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_52),one),addition(one,coantidomain(X_52))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
addition(one,coantidomain(X_52)) = addition(one,coantidomain(codomain(X_52))),
inference(resolve,[$cnf( $equal(addition(coantidomain(X_52),one),addition(one,coantidomain(codomain(X_52)))) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
( addition(one,coantidomain(X_52)) != addition(one,coantidomain(codomain(X_52)))
| addition(one,coantidomain(codomain(X_52))) = addition(one,coantidomain(X_52)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(addition(one,coantidomain(X_52)))),bind(Y,$fot(addition(one,coantidomain(codomain(X_52)))))]]) ).
cnf(refute_0_192,plain,
addition(one,coantidomain(codomain(X_52))) = addition(one,coantidomain(X_52)),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(X_52)),addition(one,coantidomain(codomain(X_52)))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
addition(one,coantidomain(codomain(X_10))) = addition(one,coantidomain(X_10)),
inference(subst,[],[refute_0_192:[bind(X_52,$fot(X_10))]]) ).
cnf(refute_0_194,plain,
( addition(one,coantidomain(codomain(X_10))) != addition(one,coantidomain(X_10))
| one != addition(one,coantidomain(codomain(X_10)))
| one = addition(one,coantidomain(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,coantidomain(codomain(X_10)))) ),[1],$fot(addition(one,coantidomain(X_10)))]]) ).
cnf(refute_0_195,plain,
( one != addition(one,coantidomain(codomain(X_10)))
| one = addition(one,coantidomain(X_10)) ),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(codomain(X_10))),addition(one,coantidomain(X_10))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
one = addition(one,coantidomain(X_10)),
inference(resolve,[$cnf( $equal(one,addition(one,coantidomain(codomain(X_10)))) )],[refute_0_169,refute_0_195]) ).
cnf(refute_0_197,plain,
( one != addition(one,coantidomain(X_10))
| addition(one,coantidomain(X_10)) = one ),
inference(subst,[],[refute_0_27:[bind(X,$fot(one)),bind(Y,$fot(addition(one,coantidomain(X_10))))]]) ).
cnf(refute_0_198,plain,
addition(one,coantidomain(X_10)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,coantidomain(X_10))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
addition(one,coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) = one,
inference(subst,[],[refute_0_198:[bind(X_10,$fot(multiplication(codomain(antidomain(X_42)),X_42)))]]) ).
cnf(refute_0_200,plain,
( addition(one,coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) != coantidomain(multiplication(codomain(antidomain(X_42)),X_42))
| addition(one,coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) != one
| one = coantidomain(multiplication(codomain(antidomain(X_42)),X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,coantidomain(multiplication(codomain(antidomain(X_42)),X_42))),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) ),[0],$fot(one)]]) ).
cnf(refute_0_201,plain,
( addition(one,coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) != coantidomain(multiplication(codomain(antidomain(X_42)),X_42))
| one = coantidomain(multiplication(codomain(antidomain(X_42)),X_42)) ),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(multiplication(codomain(antidomain(X_42)),X_42))),one) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
one = coantidomain(multiplication(codomain(antidomain(X_42)),X_42)),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(multiplication(codomain(antidomain(X_42)),X_42))),coantidomain(multiplication(codomain(antidomain(X_42)),X_42))) )],[refute_0_144,refute_0_201]) ).
cnf(refute_0_203,plain,
one = coantidomain(multiplication(codomain(antidomain(X_211)),X_211)),
inference(subst,[],[refute_0_202:[bind(X_42,$fot(X_211))]]) ).
cnf(refute_0_204,plain,
( one != coantidomain(multiplication(codomain(antidomain(X_211)),X_211))
| coantidomain(multiplication(codomain(antidomain(X_211)),X_211)) = one ),
inference(subst,[],[refute_0_27:[bind(X,$fot(one)),bind(Y,$fot(coantidomain(multiplication(codomain(antidomain(X_211)),X_211))))]]) ).
cnf(refute_0_205,plain,
coantidomain(multiplication(codomain(antidomain(X_211)),X_211)) = one,
inference(resolve,[$cnf( $equal(one,coantidomain(multiplication(codomain(antidomain(X_211)),X_211))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
( coantidomain(multiplication(codomain(antidomain(X_211)),X_211)) != one
| multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(coantidomain(multiplication(codomain(antidomain(X_211)),X_211)),X_23)) != zero
| multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(one,X_23)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(coantidomain(multiplication(codomain(antidomain(X_211)),X_211)),X_23)),zero) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_207,plain,
( multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(coantidomain(multiplication(codomain(antidomain(X_211)),X_211)),X_23)) != zero
| multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(one,X_23)) = zero ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(antidomain(X_211)),X_211)),one) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(one,X_23)) = zero,
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(coantidomain(multiplication(codomain(antidomain(X_211)),X_211)),X_23)),zero) )],[refute_0_67,refute_0_207]) ).
cnf(refute_0_209,plain,
multiplication(one,X_23) = X_23,
inference(subst,[],[refute_0_2:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_210,plain,
multiplication(X_211,multiplication(one,X_23)) = multiplication(X_211,multiplication(one,X_23)),
introduced(tautology,[refl,[$fot(multiplication(X_211,multiplication(one,X_23)))]]) ).
cnf(refute_0_211,plain,
( multiplication(X_211,multiplication(one,X_23)) != multiplication(X_211,multiplication(one,X_23))
| multiplication(one,X_23) != X_23
| multiplication(X_211,multiplication(one,X_23)) = multiplication(X_211,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_211,multiplication(one,X_23)),multiplication(X_211,multiplication(one,X_23))) ),[1,1],$fot(X_23)]]) ).
cnf(refute_0_212,plain,
( multiplication(one,X_23) != X_23
| multiplication(X_211,multiplication(one,X_23)) = multiplication(X_211,X_23) ),
inference(resolve,[$cnf( $equal(multiplication(X_211,multiplication(one,X_23)),multiplication(X_211,multiplication(one,X_23))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
multiplication(X_211,multiplication(one,X_23)) = multiplication(X_211,X_23),
inference(resolve,[$cnf( $equal(multiplication(one,X_23),X_23) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23))) = multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23))),
introduced(tautology,[refl,[$fot(multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23))))]]) ).
cnf(refute_0_215,plain,
( multiplication(X_211,multiplication(one,X_23)) != multiplication(X_211,X_23)
| multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23))) != multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23)))
| multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23))) = multiplication(codomain(antidomain(X_211)),multiplication(X_211,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23))),multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23)))) ),[1,1],$fot(multiplication(X_211,X_23))]]) ).
cnf(refute_0_216,plain,
( multiplication(X_211,multiplication(one,X_23)) != multiplication(X_211,X_23)
| multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23))) = multiplication(codomain(antidomain(X_211)),multiplication(X_211,X_23)) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23))),multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23)))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23))) = multiplication(codomain(antidomain(X_211)),multiplication(X_211,X_23)),
inference(resolve,[$cnf( $equal(multiplication(X_211,multiplication(one,X_23)),multiplication(X_211,X_23)) )],[refute_0_213,refute_0_216]) ).
cnf(refute_0_218,plain,
( multiplication(A,multiplication(B,C)) != multiplication(multiplication(A,B),C)
| multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(multiplication(A,multiplication(B,C)))),bind(Y,$fot(multiplication(multiplication(A,B),C)))]]) ).
cnf(refute_0_219,plain,
multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,multiplication(B,C)),multiplication(multiplication(A,B),C)) )],[refute_0_56,refute_0_218]) ).
cnf(refute_0_220,plain,
multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(one,X_23)) = multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23))),
inference(subst,[],[refute_0_219:[bind(A,$fot(codomain(antidomain(X_211)))),bind(B,$fot(X_211)),bind(C,$fot(multiplication(one,X_23)))]]) ).
cnf(refute_0_221,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_222,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_27,refute_0_221]) ).
cnf(refute_0_223,plain,
( multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23))) != multiplication(codomain(antidomain(X_211)),multiplication(X_211,X_23))
| multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(one,X_23)) != multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23)))
| multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(one,X_23)) = multiplication(codomain(antidomain(X_211)),multiplication(X_211,X_23)) ),
inference(subst,[],[refute_0_222:[bind(X,$fot(multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(one,X_23)))),bind(Y,$fot(multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23))))),bind(Z,$fot(multiplication(codomain(antidomain(X_211)),multiplication(X_211,X_23))))]]) ).
cnf(refute_0_224,plain,
( multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23))) != multiplication(codomain(antidomain(X_211)),multiplication(X_211,X_23))
| multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(one,X_23)) = multiplication(codomain(antidomain(X_211)),multiplication(X_211,X_23)) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(one,X_23)),multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23)))) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(one,X_23)) = multiplication(codomain(antidomain(X_211)),multiplication(X_211,X_23)),
inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(X_211)),multiplication(X_211,multiplication(one,X_23))),multiplication(codomain(antidomain(X_211)),multiplication(X_211,X_23))) )],[refute_0_217,refute_0_224]) ).
cnf(refute_0_226,plain,
( multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(one,X_23)) != multiplication(codomain(antidomain(X_211)),multiplication(X_211,X_23))
| multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(one,X_23)) != zero
| multiplication(codomain(antidomain(X_211)),multiplication(X_211,X_23)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(one,X_23)),zero) ),[0],$fot(multiplication(codomain(antidomain(X_211)),multiplication(X_211,X_23)))]]) ).
cnf(refute_0_227,plain,
( multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(one,X_23)) != zero
| multiplication(codomain(antidomain(X_211)),multiplication(X_211,X_23)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(one,X_23)),multiplication(codomain(antidomain(X_211)),multiplication(X_211,X_23))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
multiplication(codomain(antidomain(X_211)),multiplication(X_211,X_23)) = zero,
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_211)),X_211),multiplication(one,X_23)),zero) )],[refute_0_208,refute_0_227]) ).
cnf(refute_0_229,plain,
multiplication(codomain(antidomain(coantidomain(codomain(antidomain(X_23))))),multiplication(coantidomain(codomain(antidomain(X_23))),X_23)) = zero,
inference(subst,[],[refute_0_228:[bind(X_211,$fot(coantidomain(codomain(antidomain(X_23)))))]]) ).
cnf(refute_0_230,plain,
multiplication(addition(codomain(antidomain(X_229)),X_228),X_229) = addition(multiplication(codomain(antidomain(X_229)),X_229),multiplication(X_228,X_229)),
inference(subst,[],[refute_0_0:[bind(A,$fot(codomain(antidomain(X_229)))),bind(B,$fot(X_228)),bind(C,$fot(X_229))]]) ).
cnf(refute_0_231,plain,
multiplication(multiplication(codomain(antidomain(X_211)),X_211),coantidomain(multiplication(codomain(antidomain(X_211)),X_211))) = zero,
inference(subst,[],[refute_0_10:[bind(X0,$fot(multiplication(codomain(antidomain(X_211)),X_211)))]]) ).
cnf(refute_0_232,plain,
( coantidomain(multiplication(codomain(antidomain(X_211)),X_211)) != one
| multiplication(multiplication(codomain(antidomain(X_211)),X_211),coantidomain(multiplication(codomain(antidomain(X_211)),X_211))) != zero
| multiplication(multiplication(codomain(antidomain(X_211)),X_211),one) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_211)),X_211),coantidomain(multiplication(codomain(antidomain(X_211)),X_211))),zero) ),[0,1],$fot(one)]]) ).
cnf(refute_0_233,plain,
( multiplication(multiplication(codomain(antidomain(X_211)),X_211),coantidomain(multiplication(codomain(antidomain(X_211)),X_211))) != zero
| multiplication(multiplication(codomain(antidomain(X_211)),X_211),one) = zero ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(antidomain(X_211)),X_211)),one) )],[refute_0_205,refute_0_232]) ).
cnf(refute_0_234,plain,
multiplication(multiplication(codomain(antidomain(X_211)),X_211),one) = zero,
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_211)),X_211),coantidomain(multiplication(codomain(antidomain(X_211)),X_211))),zero) )],[refute_0_231,refute_0_233]) ).
cnf(refute_0_235,plain,
multiplication(multiplication(codomain(antidomain(X_211)),X_211),one) = multiplication(codomain(antidomain(X_211)),X_211),
inference(subst,[],[refute_0_49:[bind(A,$fot(multiplication(codomain(antidomain(X_211)),X_211)))]]) ).
cnf(refute_0_236,plain,
( multiplication(multiplication(codomain(antidomain(X_211)),X_211),one) != multiplication(codomain(antidomain(X_211)),X_211)
| multiplication(multiplication(codomain(antidomain(X_211)),X_211),one) != zero
| multiplication(codomain(antidomain(X_211)),X_211) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_211)),X_211),one),zero) ),[0],$fot(multiplication(codomain(antidomain(X_211)),X_211))]]) ).
cnf(refute_0_237,plain,
( multiplication(multiplication(codomain(antidomain(X_211)),X_211),one) != zero
| multiplication(codomain(antidomain(X_211)),X_211) = zero ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_211)),X_211),one),multiplication(codomain(antidomain(X_211)),X_211)) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
multiplication(codomain(antidomain(X_211)),X_211) = zero,
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(antidomain(X_211)),X_211),one),zero) )],[refute_0_234,refute_0_237]) ).
cnf(refute_0_239,plain,
multiplication(codomain(antidomain(X_229)),X_229) = zero,
inference(subst,[],[refute_0_238:[bind(X_211,$fot(X_229))]]) ).
cnf(refute_0_240,plain,
( multiplication(addition(codomain(antidomain(X_229)),X_228),X_229) != addition(multiplication(codomain(antidomain(X_229)),X_229),multiplication(X_228,X_229))
| multiplication(codomain(antidomain(X_229)),X_229) != zero
| multiplication(addition(codomain(antidomain(X_229)),X_228),X_229) = addition(zero,multiplication(X_228,X_229)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(codomain(antidomain(X_229)),X_228),X_229),addition(multiplication(codomain(antidomain(X_229)),X_229),multiplication(X_228,X_229))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_241,plain,
( multiplication(addition(codomain(antidomain(X_229)),X_228),X_229) != addition(multiplication(codomain(antidomain(X_229)),X_229),multiplication(X_228,X_229))
| multiplication(addition(codomain(antidomain(X_229)),X_228),X_229) = addition(zero,multiplication(X_228,X_229)) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(X_229)),X_229),zero) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
multiplication(addition(codomain(antidomain(X_229)),X_228),X_229) = addition(zero,multiplication(X_228,X_229)),
inference(resolve,[$cnf( $equal(multiplication(addition(codomain(antidomain(X_229)),X_228),X_229),addition(multiplication(codomain(antidomain(X_229)),X_229),multiplication(X_228,X_229))) )],[refute_0_230,refute_0_241]) ).
cnf(refute_0_243,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_24:[bind(B,$fot(zero))]]) ).
cnf(refute_0_244,plain,
( addition(A,zero) != A
| addition(A,zero) != addition(zero,A)
| addition(zero,A) = A ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,zero),A) ),[0],$fot(addition(zero,A))]]) ).
cnf(refute_0_245,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_15,refute_0_245]) ).
cnf(refute_0_247,plain,
addition(zero,multiplication(X_228,X_229)) = multiplication(X_228,X_229),
inference(subst,[],[refute_0_246:[bind(A,$fot(multiplication(X_228,X_229)))]]) ).
cnf(refute_0_248,plain,
( addition(zero,multiplication(X_228,X_229)) != multiplication(X_228,X_229)
| multiplication(addition(codomain(antidomain(X_229)),X_228),X_229) != addition(zero,multiplication(X_228,X_229))
| multiplication(addition(codomain(antidomain(X_229)),X_228),X_229) = multiplication(X_228,X_229) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(codomain(antidomain(X_229)),X_228),X_229),addition(zero,multiplication(X_228,X_229))) ),[1],$fot(multiplication(X_228,X_229))]]) ).
cnf(refute_0_249,plain,
( multiplication(addition(codomain(antidomain(X_229)),X_228),X_229) != addition(zero,multiplication(X_228,X_229))
| multiplication(addition(codomain(antidomain(X_229)),X_228),X_229) = multiplication(X_228,X_229) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(X_228,X_229)),multiplication(X_228,X_229)) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
multiplication(addition(codomain(antidomain(X_229)),X_228),X_229) = multiplication(X_228,X_229),
inference(resolve,[$cnf( $equal(multiplication(addition(codomain(antidomain(X_229)),X_228),X_229),addition(zero,multiplication(X_228,X_229))) )],[refute_0_242,refute_0_249]) ).
cnf(refute_0_251,plain,
multiplication(addition(codomain(antidomain(X_246)),coantidomain(codomain(antidomain(X_246)))),X_246) = multiplication(coantidomain(codomain(antidomain(X_246))),X_246),
inference(subst,[],[refute_0_250:[bind(X_228,$fot(coantidomain(codomain(antidomain(X_246))))),bind(X_229,$fot(X_246))]]) ).
cnf(refute_0_252,plain,
addition(codomain(antidomain(X_246)),coantidomain(codomain(antidomain(X_246)))) = one,
inference(subst,[],[refute_0_182:[bind(X0,$fot(antidomain(X_246)))]]) ).
cnf(refute_0_253,plain,
( addition(codomain(antidomain(X_246)),coantidomain(codomain(antidomain(X_246)))) != one
| multiplication(addition(codomain(antidomain(X_246)),coantidomain(codomain(antidomain(X_246)))),X_246) != multiplication(coantidomain(codomain(antidomain(X_246))),X_246)
| multiplication(one,X_246) = multiplication(coantidomain(codomain(antidomain(X_246))),X_246) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(codomain(antidomain(X_246)),coantidomain(codomain(antidomain(X_246)))),X_246),multiplication(coantidomain(codomain(antidomain(X_246))),X_246)) ),[0,0],$fot(one)]]) ).
cnf(refute_0_254,plain,
( multiplication(addition(codomain(antidomain(X_246)),coantidomain(codomain(antidomain(X_246)))),X_246) != multiplication(coantidomain(codomain(antidomain(X_246))),X_246)
| multiplication(one,X_246) = multiplication(coantidomain(codomain(antidomain(X_246))),X_246) ),
inference(resolve,[$cnf( $equal(addition(codomain(antidomain(X_246)),coantidomain(codomain(antidomain(X_246)))),one) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
multiplication(one,X_246) = multiplication(coantidomain(codomain(antidomain(X_246))),X_246),
inference(resolve,[$cnf( $equal(multiplication(addition(codomain(antidomain(X_246)),coantidomain(codomain(antidomain(X_246)))),X_246),multiplication(coantidomain(codomain(antidomain(X_246))),X_246)) )],[refute_0_251,refute_0_254]) ).
cnf(refute_0_256,plain,
multiplication(one,X_246) = X_246,
inference(subst,[],[refute_0_2:[bind(A,$fot(X_246))]]) ).
cnf(refute_0_257,plain,
( multiplication(one,X_246) != X_246
| multiplication(one,X_246) != multiplication(coantidomain(codomain(antidomain(X_246))),X_246)
| X_246 = multiplication(coantidomain(codomain(antidomain(X_246))),X_246) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_246),multiplication(coantidomain(codomain(antidomain(X_246))),X_246)) ),[0],$fot(X_246)]]) ).
cnf(refute_0_258,plain,
( multiplication(one,X_246) != multiplication(coantidomain(codomain(antidomain(X_246))),X_246)
| X_246 = multiplication(coantidomain(codomain(antidomain(X_246))),X_246) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_246),X_246) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
X_246 = multiplication(coantidomain(codomain(antidomain(X_246))),X_246),
inference(resolve,[$cnf( $equal(multiplication(one,X_246),multiplication(coantidomain(codomain(antidomain(X_246))),X_246)) )],[refute_0_255,refute_0_258]) ).
cnf(refute_0_260,plain,
X_23 = multiplication(coantidomain(codomain(antidomain(X_23))),X_23),
inference(subst,[],[refute_0_259:[bind(X_246,$fot(X_23))]]) ).
cnf(refute_0_261,plain,
( X_23 != multiplication(coantidomain(codomain(antidomain(X_23))),X_23)
| multiplication(coantidomain(codomain(antidomain(X_23))),X_23) = X_23 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(X_23)),bind(Y,$fot(multiplication(coantidomain(codomain(antidomain(X_23))),X_23)))]]) ).
cnf(refute_0_262,plain,
multiplication(coantidomain(codomain(antidomain(X_23))),X_23) = X_23,
inference(resolve,[$cnf( $equal(X_23,multiplication(coantidomain(codomain(antidomain(X_23))),X_23)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
( multiplication(coantidomain(codomain(antidomain(X_23))),X_23) != X_23
| multiplication(codomain(antidomain(coantidomain(codomain(antidomain(X_23))))),multiplication(coantidomain(codomain(antidomain(X_23))),X_23)) != zero
| multiplication(codomain(antidomain(coantidomain(codomain(antidomain(X_23))))),X_23) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(antidomain(coantidomain(codomain(antidomain(X_23))))),multiplication(coantidomain(codomain(antidomain(X_23))),X_23)),zero) ),[0,1],$fot(X_23)]]) ).
cnf(refute_0_264,plain,
( multiplication(codomain(antidomain(coantidomain(codomain(antidomain(X_23))))),multiplication(coantidomain(codomain(antidomain(X_23))),X_23)) != zero
| multiplication(codomain(antidomain(coantidomain(codomain(antidomain(X_23))))),X_23) = zero ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(codomain(antidomain(X_23))),X_23),X_23) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
multiplication(codomain(antidomain(coantidomain(codomain(antidomain(X_23))))),X_23) = zero,
inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(coantidomain(codomain(antidomain(X_23))))),multiplication(coantidomain(codomain(antidomain(X_23))),X_23)),zero) )],[refute_0_229,refute_0_264]) ).
cnf(refute_0_266,plain,
multiplication(codomain(antidomain(coantidomain(codomain(antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) = zero,
inference(subst,[],[refute_0_265:[bind(X_23,$fot(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_267,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_268,plain,
antidomain(antidomain(X1)) = domain(X1),
inference(subst,[],[refute_0_36:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_269,plain,
multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,antidomain(antidomain(X1))),
introduced(tautology,[refl,[$fot(multiplication(X0,antidomain(antidomain(X1))))]]) ).
cnf(refute_0_270,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_271,plain,
( antidomain(antidomain(X1)) != domain(X1)
| multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X1)),domain(X1)) )],[refute_0_268,refute_0_271]) ).
cnf(refute_0_273,plain,
antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(X0,antidomain(antidomain(X1)))))]]) ).
cnf(refute_0_274,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_275,plain,
( multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,domain(X1))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,domain(X1))) )],[refute_0_272,refute_0_275]) ).
cnf(refute_0_277,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
introduced(tautology,[refl,[$fot(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))))]]) ).
cnf(refute_0_278,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_279,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( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_276,refute_0_279]) ).
cnf(refute_0_281,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ),
introduced(tautology,[equality,[$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_282,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( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
introduced(tautology,[equality,[$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_284,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( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_276,refute_0_283]) ).
cnf(refute_0_285,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_282,refute_0_284]) ).
cnf(refute_0_286,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_267,refute_0_285]) ).
cnf(refute_0_287,plain,
addition(antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) = antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_286:[bind(X0,$fot(codomain(domain(skolemFOFtoCNF_X0)))),bind(X1,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_288,plain,
multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) = zero,
inference(subst,[],[refute_0_10:[bind(X0,$fot(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_289,plain,
addition(coantidomain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) = coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_89:[bind(X0,$fot(domain(skolemFOFtoCNF_X0))),bind(X1,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_290,plain,
multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1) = zero,
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_291,plain,
( addition(coantidomain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) != coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))
| multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1) != zero
| addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) = coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_292,plain,
( addition(coantidomain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) != coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))
| addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) = coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1),zero) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) = coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(addition(coantidomain(multiplication(domain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X1)),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) )],[refute_0_289,refute_0_292]) ).
cnf(refute_0_294,plain,
addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) = addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))),
introduced(tautology,[refl,[$fot(addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_295,plain,
( addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) != addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)))
| coantidomain(zero) != one
| addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) = addition(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))),addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_296,plain,
( coantidomain(zero) != one
| addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) = addition(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))),addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) = addition(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_137,refute_0_296]) ).
cnf(refute_0_298,plain,
( addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) != addition(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)))
| addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) != coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))
| addition(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) = coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) ),[0],$fot(addition(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_299,plain,
( addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) != coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))
| addition(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) = coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))),addition(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)))) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
addition(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) = coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) )],[refute_0_293,refute_0_299]) ).
cnf(refute_0_301,plain,
addition(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) = one,
inference(subst,[],[refute_0_198:[bind(X_10,$fot(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_302,plain,
( addition(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) != coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))
| addition(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) != one
| one = coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) ),[0],$fot(one)]]) ).
cnf(refute_0_303,plain,
( addition(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) != coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))
| one = coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))),one) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
one = coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) )],[refute_0_300,refute_0_303]) ).
cnf(refute_0_305,plain,
( one != coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))
| coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)) = one ),
inference(subst,[],[refute_0_27:[bind(X,$fot(one)),bind(Y,$fot(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_306,plain,
coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)) = one,
inference(resolve,[$cnf( $equal(one,coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
( coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)) != one
| multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) != zero
| multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),one) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))),zero) ),[0,1],$fot(one)]]) ).
cnf(refute_0_308,plain,
( multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))) != zero
| multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),one) = zero ),
inference(resolve,[$cnf( $equal(coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)),one) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),one) = zero,
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),coantidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))),zero) )],[refute_0_288,refute_0_308]) ).
cnf(refute_0_310,plain,
multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),one) = multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_49:[bind(A,$fot(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_311,plain,
( multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),one) != multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)
| multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),one) != zero
| multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),one),zero) ),[0],$fot(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_312,plain,
( multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),one) != zero
| multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1) = zero ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),one),multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1) = zero,
inference(resolve,[$cnf( $equal(multiplication(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),one),zero) )],[refute_0_309,refute_0_312]) ).
cnf(refute_0_314,plain,
( addition(antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) != antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))
| multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1) != zero
| addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) = antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_315,plain,
( addition(antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) != antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))
| addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) = antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1),zero) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) = antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X1)),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) )],[refute_0_287,refute_0_315]) ).
cnf(refute_0_317,plain,
addition(addition(X_50,X_51),addition(X_50,X_51)) = addition(addition(addition(X_50,X_51),X_50),X_51),
inference(subst,[],[refute_0_21:[bind(A,$fot(addition(X_50,X_51))),bind(B,$fot(X_50)),bind(C,$fot(X_51))]]) ).
cnf(refute_0_318,plain,
addition(addition(X_50,X_51),addition(X_50,X_51)) = addition(X_50,X_51),
inference(subst,[],[refute_0_150:[bind(A,$fot(addition(X_50,X_51)))]]) ).
cnf(refute_0_319,plain,
( addition(addition(X_50,X_51),addition(X_50,X_51)) != addition(X_50,X_51)
| addition(addition(X_50,X_51),addition(X_50,X_51)) != addition(addition(addition(X_50,X_51),X_50),X_51)
| addition(X_50,X_51) = addition(addition(addition(X_50,X_51),X_50),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(addition(addition(X_50,X_51),addition(X_50,X_51)),addition(addition(addition(X_50,X_51),X_50),X_51)) ),[0],$fot(addition(X_50,X_51))]]) ).
cnf(refute_0_320,plain,
( addition(addition(X_50,X_51),addition(X_50,X_51)) != addition(addition(addition(X_50,X_51),X_50),X_51)
| addition(X_50,X_51) = addition(addition(addition(X_50,X_51),X_50),X_51) ),
inference(resolve,[$cnf( $equal(addition(addition(X_50,X_51),addition(X_50,X_51)),addition(X_50,X_51)) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
addition(X_50,X_51) = addition(addition(addition(X_50,X_51),X_50),X_51),
inference(resolve,[$cnf( $equal(addition(addition(X_50,X_51),addition(X_50,X_51)),addition(addition(addition(X_50,X_51),X_50),X_51)) )],[refute_0_317,refute_0_320]) ).
cnf(refute_0_322,plain,
addition(X_49,addition(X_50,X_51)) = addition(addition(X_49,X_50),X_51),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_49)),bind(B,$fot(X_50)),bind(C,$fot(X_51))]]) ).
cnf(refute_0_323,plain,
addition(X_51,X_50) = addition(X_50,X_51),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_51)),bind(B,$fot(X_50))]]) ).
cnf(refute_0_324,plain,
( addition(X_51,X_50) != addition(X_50,X_51)
| addition(X_50,X_51) = addition(X_51,X_50) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(addition(X_51,X_50))),bind(Y,$fot(addition(X_50,X_51)))]]) ).
cnf(refute_0_325,plain,
addition(X_50,X_51) = addition(X_51,X_50),
inference(resolve,[$cnf( $equal(addition(X_51,X_50),addition(X_50,X_51)) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
( addition(X_49,addition(X_50,X_51)) != addition(addition(X_49,X_50),X_51)
| addition(X_50,X_51) != addition(X_51,X_50)
| addition(X_49,addition(X_51,X_50)) = addition(addition(X_49,X_50),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_49,addition(X_50,X_51)),addition(addition(X_49,X_50),X_51)) ),[0,1],$fot(addition(X_51,X_50))]]) ).
cnf(refute_0_327,plain,
( addition(X_49,addition(X_50,X_51)) != addition(addition(X_49,X_50),X_51)
| addition(X_49,addition(X_51,X_50)) = addition(addition(X_49,X_50),X_51) ),
inference(resolve,[$cnf( $equal(addition(X_50,X_51),addition(X_51,X_50)) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
addition(X_49,addition(X_51,X_50)) = addition(addition(X_49,X_50),X_51),
inference(resolve,[$cnf( $equal(addition(X_49,addition(X_50,X_51)),addition(addition(X_49,X_50),X_51)) )],[refute_0_322,refute_0_327]) ).
cnf(refute_0_329,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_330,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_0_21,refute_0_329]) ).
cnf(refute_0_331,plain,
addition(addition(X_49,X_50),X_51) = addition(X_49,addition(X_50,X_51)),
inference(subst,[],[refute_0_330:[bind(A,$fot(X_49)),bind(B,$fot(X_50)),bind(C,$fot(X_51))]]) ).
cnf(refute_0_332,plain,
( addition(X_49,addition(X_51,X_50)) != addition(addition(X_49,X_50),X_51)
| addition(addition(X_49,X_50),X_51) != addition(X_49,addition(X_50,X_51))
| addition(X_49,addition(X_51,X_50)) = addition(X_49,addition(X_50,X_51)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_49,addition(X_51,X_50)),addition(X_49,addition(X_50,X_51))) ),[0],$fot(addition(addition(X_49,X_50),X_51))]]) ).
cnf(refute_0_333,plain,
( addition(X_49,addition(X_51,X_50)) != addition(addition(X_49,X_50),X_51)
| addition(X_49,addition(X_51,X_50)) = addition(X_49,addition(X_50,X_51)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_49,X_50),X_51),addition(X_49,addition(X_50,X_51))) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
addition(X_49,addition(X_51,X_50)) = addition(X_49,addition(X_50,X_51)),
inference(resolve,[$cnf( $equal(addition(X_49,addition(X_51,X_50)),addition(addition(X_49,X_50),X_51)) )],[refute_0_328,refute_0_333]) ).
cnf(refute_0_335,plain,
( addition(X_49,addition(X_51,X_50)) != addition(X_49,addition(X_50,X_51))
| addition(X_49,addition(X_50,X_51)) = addition(X_49,addition(X_51,X_50)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(addition(X_49,addition(X_51,X_50)))),bind(Y,$fot(addition(X_49,addition(X_50,X_51))))]]) ).
cnf(refute_0_336,plain,
addition(X_49,addition(X_50,X_51)) = addition(X_49,addition(X_51,X_50)),
inference(resolve,[$cnf( $equal(addition(X_49,addition(X_51,X_50)),addition(X_49,addition(X_50,X_51))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
addition(X_51,addition(addition(X_50,X_51),X_50)) = addition(X_51,addition(X_50,addition(X_50,X_51))),
inference(subst,[],[refute_0_336:[bind(X_49,$fot(X_51)),bind(X_50,$fot(addition(X_50,X_51))),bind(X_51,$fot(X_50))]]) ).
cnf(refute_0_338,plain,
addition(A,addition(X_49,X_50)) = addition(addition(X_49,X_50),A),
inference(subst,[],[refute_0_24:[bind(B,$fot(addition(X_49,X_50)))]]) ).
cnf(refute_0_339,plain,
addition(X_49,addition(X_50,A)) = addition(addition(X_49,X_50),A),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_49)),bind(B,$fot(X_50)),bind(C,$fot(A))]]) ).
cnf(refute_0_340,plain,
( addition(X_49,addition(X_50,A)) != addition(addition(X_49,X_50),A)
| addition(addition(X_49,X_50),A) = addition(X_49,addition(X_50,A)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(addition(X_49,addition(X_50,A)))),bind(Y,$fot(addition(addition(X_49,X_50),A)))]]) ).
cnf(refute_0_341,plain,
addition(addition(X_49,X_50),A) = addition(X_49,addition(X_50,A)),
inference(resolve,[$cnf( $equal(addition(X_49,addition(X_50,A)),addition(addition(X_49,X_50),A)) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
( addition(A,addition(X_49,X_50)) != addition(addition(X_49,X_50),A)
| addition(addition(X_49,X_50),A) != addition(X_49,addition(X_50,A))
| addition(A,addition(X_49,X_50)) = addition(X_49,addition(X_50,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_49,X_50)),addition(X_49,addition(X_50,A))) ),[0],$fot(addition(addition(X_49,X_50),A))]]) ).
cnf(refute_0_343,plain,
( addition(A,addition(X_49,X_50)) != addition(addition(X_49,X_50),A)
| addition(A,addition(X_49,X_50)) = addition(X_49,addition(X_50,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_49,X_50),A),addition(X_49,addition(X_50,A))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
addition(A,addition(X_49,X_50)) = addition(X_49,addition(X_50,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_49,X_50)),addition(addition(X_49,X_50),A)) )],[refute_0_338,refute_0_343]) ).
cnf(refute_0_345,plain,
( addition(A,addition(X_49,X_50)) != addition(X_49,addition(X_50,A))
| addition(X_49,addition(X_50,A)) = addition(A,addition(X_49,X_50)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(addition(A,addition(X_49,X_50)))),bind(Y,$fot(addition(X_49,addition(X_50,A))))]]) ).
cnf(refute_0_346,plain,
addition(X_49,addition(X_50,A)) = addition(A,addition(X_49,X_50)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_49,X_50)),addition(X_49,addition(X_50,A))) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
addition(addition(X_50,X_51),addition(X_50,X_51)) = addition(X_51,addition(addition(X_50,X_51),X_50)),
inference(subst,[],[refute_0_346:[bind(A,$fot(X_51)),bind(X_49,$fot(addition(X_50,X_51)))]]) ).
cnf(refute_0_348,plain,
( addition(X_51,addition(addition(X_50,X_51),X_50)) != addition(X_51,addition(X_50,addition(X_50,X_51)))
| addition(addition(X_50,X_51),addition(X_50,X_51)) != addition(X_51,addition(addition(X_50,X_51),X_50))
| addition(addition(X_50,X_51),addition(X_50,X_51)) = addition(X_51,addition(X_50,addition(X_50,X_51))) ),
inference(subst,[],[refute_0_222:[bind(X,$fot(addition(addition(X_50,X_51),addition(X_50,X_51)))),bind(Y,$fot(addition(X_51,addition(addition(X_50,X_51),X_50)))),bind(Z,$fot(addition(X_51,addition(X_50,addition(X_50,X_51)))))]]) ).
cnf(refute_0_349,plain,
( addition(X_51,addition(addition(X_50,X_51),X_50)) != addition(X_51,addition(X_50,addition(X_50,X_51)))
| addition(addition(X_50,X_51),addition(X_50,X_51)) = addition(X_51,addition(X_50,addition(X_50,X_51))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_50,X_51),addition(X_50,X_51)),addition(X_51,addition(addition(X_50,X_51),X_50))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
addition(addition(X_50,X_51),addition(X_50,X_51)) = addition(X_51,addition(X_50,addition(X_50,X_51))),
inference(resolve,[$cnf( $equal(addition(X_51,addition(addition(X_50,X_51),X_50)),addition(X_51,addition(X_50,addition(X_50,X_51)))) )],[refute_0_337,refute_0_349]) ).
cnf(refute_0_351,plain,
addition(addition(addition(X_50,X_51),X_50),X_51) = addition(addition(X_50,X_51),addition(X_50,X_51)),
inference(subst,[],[refute_0_330:[bind(A,$fot(addition(X_50,X_51))),bind(B,$fot(X_50)),bind(C,$fot(X_51))]]) ).
cnf(refute_0_352,plain,
( addition(addition(X_50,X_51),addition(X_50,X_51)) != addition(X_51,addition(X_50,addition(X_50,X_51)))
| addition(addition(addition(X_50,X_51),X_50),X_51) != addition(addition(X_50,X_51),addition(X_50,X_51))
| addition(addition(addition(X_50,X_51),X_50),X_51) = addition(X_51,addition(X_50,addition(X_50,X_51))) ),
inference(subst,[],[refute_0_222:[bind(X,$fot(addition(addition(addition(X_50,X_51),X_50),X_51))),bind(Y,$fot(addition(addition(X_50,X_51),addition(X_50,X_51)))),bind(Z,$fot(addition(X_51,addition(X_50,addition(X_50,X_51)))))]]) ).
cnf(refute_0_353,plain,
( addition(addition(X_50,X_51),addition(X_50,X_51)) != addition(X_51,addition(X_50,addition(X_50,X_51)))
| addition(addition(addition(X_50,X_51),X_50),X_51) = addition(X_51,addition(X_50,addition(X_50,X_51))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_50,X_51),X_50),X_51),addition(addition(X_50,X_51),addition(X_50,X_51))) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
addition(addition(addition(X_50,X_51),X_50),X_51) = addition(X_51,addition(X_50,addition(X_50,X_51))),
inference(resolve,[$cnf( $equal(addition(addition(X_50,X_51),addition(X_50,X_51)),addition(X_51,addition(X_50,addition(X_50,X_51)))) )],[refute_0_350,refute_0_353]) ).
cnf(refute_0_355,plain,
( addition(X_50,X_51) != addition(addition(addition(X_50,X_51),X_50),X_51)
| addition(addition(addition(X_50,X_51),X_50),X_51) != addition(X_51,addition(X_50,addition(X_50,X_51)))
| addition(X_50,X_51) = addition(X_51,addition(X_50,addition(X_50,X_51))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_50,X_51),addition(X_51,addition(X_50,addition(X_50,X_51)))) ),[0],$fot(addition(addition(addition(X_50,X_51),X_50),X_51))]]) ).
cnf(refute_0_356,plain,
( addition(X_50,X_51) != addition(addition(addition(X_50,X_51),X_50),X_51)
| addition(X_50,X_51) = addition(X_51,addition(X_50,addition(X_50,X_51))) ),
inference(resolve,[$cnf( $equal(addition(addition(addition(X_50,X_51),X_50),X_51),addition(X_51,addition(X_50,addition(X_50,X_51)))) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
addition(X_50,X_51) = addition(X_51,addition(X_50,addition(X_50,X_51))),
inference(resolve,[$cnf( $equal(addition(X_50,X_51),addition(addition(addition(X_50,X_51),X_50),X_51)) )],[refute_0_321,refute_0_356]) ).
cnf(refute_0_358,plain,
addition(X_50,addition(X_50,X_51)) = addition(addition(X_50,X_50),X_51),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_50)),bind(B,$fot(X_50)),bind(C,$fot(X_51))]]) ).
cnf(refute_0_359,plain,
addition(X_50,X_50) = X_50,
inference(subst,[],[refute_0_150:[bind(A,$fot(X_50))]]) ).
cnf(refute_0_360,plain,
( addition(X_50,X_50) != X_50
| addition(X_50,addition(X_50,X_51)) != addition(addition(X_50,X_50),X_51)
| addition(X_50,addition(X_50,X_51)) = addition(X_50,X_51) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_50,addition(X_50,X_51)),addition(addition(X_50,X_50),X_51)) ),[1,0],$fot(X_50)]]) ).
cnf(refute_0_361,plain,
( addition(X_50,addition(X_50,X_51)) != addition(addition(X_50,X_50),X_51)
| addition(X_50,addition(X_50,X_51)) = addition(X_50,X_51) ),
inference(resolve,[$cnf( $equal(addition(X_50,X_50),X_50) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
addition(X_50,addition(X_50,X_51)) = addition(X_50,X_51),
inference(resolve,[$cnf( $equal(addition(X_50,addition(X_50,X_51)),addition(addition(X_50,X_50),X_51)) )],[refute_0_358,refute_0_361]) ).
cnf(refute_0_363,plain,
addition(X_51,addition(X_50,addition(X_50,X_51))) = addition(X_51,addition(X_50,addition(X_50,X_51))),
introduced(tautology,[refl,[$fot(addition(X_51,addition(X_50,addition(X_50,X_51))))]]) ).
cnf(refute_0_364,plain,
( addition(X_50,addition(X_50,X_51)) != addition(X_50,X_51)
| addition(X_51,addition(X_50,addition(X_50,X_51))) != addition(X_51,addition(X_50,addition(X_50,X_51)))
| addition(X_51,addition(X_50,addition(X_50,X_51))) = addition(X_51,addition(X_50,X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_51,addition(X_50,addition(X_50,X_51))),addition(X_51,addition(X_50,addition(X_50,X_51)))) ),[1,1],$fot(addition(X_50,X_51))]]) ).
cnf(refute_0_365,plain,
( addition(X_50,addition(X_50,X_51)) != addition(X_50,X_51)
| addition(X_51,addition(X_50,addition(X_50,X_51))) = addition(X_51,addition(X_50,X_51)) ),
inference(resolve,[$cnf( $equal(addition(X_51,addition(X_50,addition(X_50,X_51))),addition(X_51,addition(X_50,addition(X_50,X_51)))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
addition(X_51,addition(X_50,addition(X_50,X_51))) = addition(X_51,addition(X_50,X_51)),
inference(resolve,[$cnf( $equal(addition(X_50,addition(X_50,X_51)),addition(X_50,X_51)) )],[refute_0_362,refute_0_365]) ).
cnf(refute_0_367,plain,
( addition(X_50,X_51) != addition(X_51,addition(X_50,addition(X_50,X_51)))
| addition(X_51,addition(X_50,addition(X_50,X_51))) != addition(X_51,addition(X_50,X_51))
| addition(X_50,X_51) = addition(X_51,addition(X_50,X_51)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_50,X_51),addition(X_51,addition(X_50,X_51))) ),[0],$fot(addition(X_51,addition(X_50,addition(X_50,X_51))))]]) ).
cnf(refute_0_368,plain,
( addition(X_50,X_51) != addition(X_51,addition(X_50,addition(X_50,X_51)))
| addition(X_50,X_51) = addition(X_51,addition(X_50,X_51)) ),
inference(resolve,[$cnf( $equal(addition(X_51,addition(X_50,addition(X_50,X_51))),addition(X_51,addition(X_50,X_51))) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
addition(X_50,X_51) = addition(X_51,addition(X_50,X_51)),
inference(resolve,[$cnf( $equal(addition(X_50,X_51),addition(X_51,addition(X_50,addition(X_50,X_51)))) )],[refute_0_357,refute_0_368]) ).
cnf(refute_0_370,plain,
addition(domain(X_137),antidomain(X_137)) = addition(antidomain(X_137),addition(domain(X_137),antidomain(X_137))),
inference(subst,[],[refute_0_369:[bind(X_50,$fot(domain(X_137))),bind(X_51,$fot(antidomain(X_137)))]]) ).
cnf(refute_0_371,plain,
addition(antidomain(X_137),addition(domain(X_137),antidomain(X_137))) = addition(one,antidomain(X_137)),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_137)),bind(X_51,$fot(antidomain(X_137)))]]) ).
cnf(refute_0_372,plain,
( addition(antidomain(X_137),addition(domain(X_137),antidomain(X_137))) != addition(one,antidomain(X_137))
| addition(domain(X_137),antidomain(X_137)) != addition(antidomain(X_137),addition(domain(X_137),antidomain(X_137)))
| addition(domain(X_137),antidomain(X_137)) = addition(one,antidomain(X_137)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_137),antidomain(X_137)),addition(antidomain(X_137),addition(domain(X_137),antidomain(X_137)))) ),[1],$fot(addition(one,antidomain(X_137)))]]) ).
cnf(refute_0_373,plain,
( addition(domain(X_137),antidomain(X_137)) != addition(antidomain(X_137),addition(domain(X_137),antidomain(X_137)))
| addition(domain(X_137),antidomain(X_137)) = addition(one,antidomain(X_137)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_137),addition(domain(X_137),antidomain(X_137))),addition(one,antidomain(X_137))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
addition(domain(X_137),antidomain(X_137)) = addition(one,antidomain(X_137)),
inference(resolve,[$cnf( $equal(addition(domain(X_137),antidomain(X_137)),addition(antidomain(X_137),addition(domain(X_137),antidomain(X_137)))) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
addition(antidomain(X_137),domain(X_137)) = one,
inference(subst,[],[refute_0_43:[bind(X0,$fot(X_137))]]) ).
cnf(refute_0_376,plain,
addition(domain(X_137),antidomain(X_137)) = addition(antidomain(X_137),domain(X_137)),
inference(subst,[],[refute_0_29:[bind(A,$fot(antidomain(X_137))),bind(B,$fot(domain(X_137)))]]) ).
cnf(refute_0_377,plain,
( addition(antidomain(X_137),domain(X_137)) != one
| addition(domain(X_137),antidomain(X_137)) != addition(antidomain(X_137),domain(X_137))
| addition(domain(X_137),antidomain(X_137)) = one ),
inference(subst,[],[refute_0_222:[bind(X,$fot(addition(domain(X_137),antidomain(X_137)))),bind(Y,$fot(addition(antidomain(X_137),domain(X_137)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_378,plain,
( addition(antidomain(X_137),domain(X_137)) != one
| addition(domain(X_137),antidomain(X_137)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X_137),antidomain(X_137)),addition(antidomain(X_137),domain(X_137))) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
addition(domain(X_137),antidomain(X_137)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X_137),domain(X_137)),one) )],[refute_0_375,refute_0_378]) ).
cnf(refute_0_380,plain,
( addition(domain(X_137),antidomain(X_137)) != addition(one,antidomain(X_137))
| addition(domain(X_137),antidomain(X_137)) != one
| one = addition(one,antidomain(X_137)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_137),antidomain(X_137)),addition(one,antidomain(X_137))) ),[0],$fot(one)]]) ).
cnf(refute_0_381,plain,
( addition(domain(X_137),antidomain(X_137)) != addition(one,antidomain(X_137))
| one = addition(one,antidomain(X_137)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_137),antidomain(X_137)),one) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
one = addition(one,antidomain(X_137)),
inference(resolve,[$cnf( $equal(addition(domain(X_137),antidomain(X_137)),addition(one,antidomain(X_137))) )],[refute_0_374,refute_0_381]) ).
cnf(refute_0_383,plain,
( one != addition(one,antidomain(X_137))
| addition(one,antidomain(X_137)) = one ),
inference(subst,[],[refute_0_27:[bind(X,$fot(one)),bind(Y,$fot(addition(one,antidomain(X_137))))]]) ).
cnf(refute_0_384,plain,
addition(one,antidomain(X_137)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,antidomain(X_137))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
addition(one,antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) = one,
inference(subst,[],[refute_0_384:[bind(X_137,$fot(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_386,plain,
addition(zero,antidomain(zero)) = addition(antidomain(zero),zero),
inference(subst,[],[refute_0_24:[bind(A,$fot(zero)),bind(B,$fot(antidomain(zero)))]]) ).
cnf(refute_0_387,plain,
addition(antidomain(one),domain(one)) = one,
inference(subst,[],[refute_0_43:[bind(X0,$fot(one))]]) ).
cnf(refute_0_388,plain,
multiplication(antidomain(one),one) = antidomain(one),
inference(subst,[],[refute_0_49:[bind(A,$fot(antidomain(one)))]]) ).
cnf(refute_0_389,plain,
multiplication(antidomain(one),one) = zero,
inference(subst,[],[refute_0_91:[bind(X0,$fot(one))]]) ).
cnf(refute_0_390,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| multiplication(antidomain(one),one) != zero
| zero = antidomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) ),[0],$fot(zero)]]) ).
cnf(refute_0_391,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| zero = antidomain(one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),zero) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
zero = antidomain(one),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) )],[refute_0_388,refute_0_391]) ).
cnf(refute_0_393,plain,
( zero != antidomain(one)
| antidomain(one) = zero ),
inference(subst,[],[refute_0_27:[bind(X,$fot(zero)),bind(Y,$fot(antidomain(one)))]]) ).
cnf(refute_0_394,plain,
antidomain(one) = zero,
inference(resolve,[$cnf( $equal(zero,antidomain(one)) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
( addition(antidomain(one),domain(one)) != one
| antidomain(one) != zero
| addition(zero,domain(one)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),domain(one)),one) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_396,plain,
( addition(antidomain(one),domain(one)) != one
| addition(zero,domain(one)) = one ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
addition(zero,domain(one)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(one)),one) )],[refute_0_387,refute_0_396]) ).
cnf(refute_0_398,plain,
domain(one) = antidomain(antidomain(one)),
inference(subst,[],[refute_0_34:[bind(X0,$fot(one))]]) ).
cnf(refute_0_399,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_400,plain,
( domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_394,refute_0_399]) ).
cnf(refute_0_401,plain,
domain(one) = antidomain(zero),
inference(resolve,[$cnf( $equal(domain(one),antidomain(antidomain(one))) )],[refute_0_398,refute_0_400]) ).
cnf(refute_0_402,plain,
addition(zero,domain(one)) = addition(zero,domain(one)),
introduced(tautology,[refl,[$fot(addition(zero,domain(one)))]]) ).
cnf(refute_0_403,plain,
( addition(zero,domain(one)) != addition(zero,domain(one))
| domain(one) != antidomain(zero)
| addition(zero,domain(one)) = addition(zero,antidomain(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,domain(one)),addition(zero,domain(one))) ),[1,1],$fot(antidomain(zero))]]) ).
cnf(refute_0_404,plain,
( domain(one) != antidomain(zero)
| addition(zero,domain(one)) = addition(zero,antidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(zero,domain(one)),addition(zero,domain(one))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
addition(zero,domain(one)) = addition(zero,antidomain(zero)),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_401,refute_0_404]) ).
cnf(refute_0_406,plain,
( addition(zero,domain(one)) != addition(zero,antidomain(zero))
| addition(zero,domain(one)) != one
| addition(zero,antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,domain(one)),one) ),[0],$fot(addition(zero,antidomain(zero)))]]) ).
cnf(refute_0_407,plain,
( addition(zero,domain(one)) != one
| addition(zero,antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(addition(zero,domain(one)),addition(zero,antidomain(zero))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
addition(zero,antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(zero,domain(one)),one) )],[refute_0_397,refute_0_407]) ).
cnf(refute_0_409,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| addition(zero,antidomain(zero)) != one
| one = addition(antidomain(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) ),[0],$fot(one)]]) ).
cnf(refute_0_410,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| one = addition(antidomain(zero),zero) ),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),one) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
one = addition(antidomain(zero),zero),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) )],[refute_0_386,refute_0_410]) ).
cnf(refute_0_412,plain,
addition(antidomain(zero),zero) = antidomain(zero),
inference(subst,[],[refute_0_15:[bind(A,$fot(antidomain(zero)))]]) ).
cnf(refute_0_413,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_414,plain,
( one != addition(antidomain(zero),zero)
| one = antidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),zero),antidomain(zero)) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
one = antidomain(zero),
inference(resolve,[$cnf( $equal(one,addition(antidomain(zero),zero)) )],[refute_0_411,refute_0_414]) ).
cnf(refute_0_416,plain,
( one != antidomain(zero)
| antidomain(zero) = one ),
inference(subst,[],[refute_0_27:[bind(X,$fot(one)),bind(Y,$fot(antidomain(zero)))]]) ).
cnf(refute_0_417,plain,
antidomain(zero) = one,
inference(resolve,[$cnf( $equal(one,antidomain(zero)) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) = addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))),
introduced(tautology,[refl,[$fot(addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_419,plain,
( addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) != addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))
| antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) = addition(one,antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))),addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_420,plain,
( antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) = addition(one,antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))),addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) = addition(one,antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_417,refute_0_420]) ).
cnf(refute_0_422,plain,
( addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) != addition(one,antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))
| addition(one,antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) != one
| addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) = one ),
inference(subst,[],[refute_0_222:[bind(X,$fot(addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))))),bind(Y,$fot(addition(one,antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_423,plain,
( addition(one,antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) != one
| addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))),addition(one,antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) = one,
inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))),one) )],[refute_0_385,refute_0_423]) ).
cnf(refute_0_425,plain,
( addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) != antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))
| addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) != one
| one = antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) ),[0],$fot(one)]]) ).
cnf(refute_0_426,plain,
( addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) != antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))
| one = antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))),one) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
one = antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))),antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) )],[refute_0_316,refute_0_426]) ).
cnf(refute_0_428,plain,
( one != antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))
| antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) = one ),
inference(subst,[],[refute_0_27:[bind(X,$fot(one)),bind(Y,$fot(antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_429,plain,
antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) = one,
inference(resolve,[$cnf( $equal(one,antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
( antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) != one
| multiplication(codomain(antidomain(coantidomain(codomain(antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) != zero
| multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(antidomain(coantidomain(codomain(antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),zero) ),[0,0,0,0,0,0],$fot(one)]]) ).
cnf(refute_0_431,plain,
( multiplication(codomain(antidomain(coantidomain(codomain(antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) != zero
| multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) = zero ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),one) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) = zero,
inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(coantidomain(codomain(antidomain(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),zero) )],[refute_0_266,refute_0_431]) ).
cnf(refute_0_433,plain,
multiplication(one,multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) = multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_2:[bind(A,$fot(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_434,plain,
( coantidomain(zero) != one
| codomain(one) != coantidomain(zero)
| codomain(one) = one ),
introduced(tautology,[equality,[$cnf( $equal(codomain(one),coantidomain(zero)) ),[1],$fot(one)]]) ).
cnf(refute_0_435,plain,
( codomain(one) != coantidomain(zero)
| codomain(one) = one ),
inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_137,refute_0_434]) ).
cnf(refute_0_436,plain,
codomain(one) = one,
inference(resolve,[$cnf( $equal(codomain(one),coantidomain(zero)) )],[refute_0_118,refute_0_435]) ).
cnf(refute_0_437,plain,
coantidomain(codomain(one)) = coantidomain(codomain(one)),
introduced(tautology,[refl,[$fot(coantidomain(codomain(one)))]]) ).
cnf(refute_0_438,plain,
( coantidomain(codomain(one)) != coantidomain(codomain(one))
| codomain(one) != one
| coantidomain(codomain(one)) = coantidomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(codomain(one)),coantidomain(codomain(one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_439,plain,
( codomain(one) != one
| coantidomain(codomain(one)) = coantidomain(one) ),
inference(resolve,[$cnf( $equal(coantidomain(codomain(one)),coantidomain(codomain(one))) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
coantidomain(codomain(one)) = coantidomain(one),
inference(resolve,[$cnf( $equal(codomain(one),one) )],[refute_0_436,refute_0_439]) ).
cnf(refute_0_441,plain,
( coantidomain(codomain(one)) != coantidomain(one)
| coantidomain(one) != zero
| coantidomain(codomain(one)) = zero ),
inference(subst,[],[refute_0_222:[bind(X,$fot(coantidomain(codomain(one)))),bind(Y,$fot(coantidomain(one))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_442,plain,
( coantidomain(one) != zero
| coantidomain(codomain(one)) = zero ),
inference(resolve,[$cnf( $equal(coantidomain(codomain(one)),coantidomain(one)) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
coantidomain(codomain(one)) = zero,
inference(resolve,[$cnf( $equal(coantidomain(one),zero) )],[refute_0_115,refute_0_442]) ).
cnf(refute_0_444,plain,
antidomain(coantidomain(codomain(one))) = antidomain(coantidomain(codomain(one))),
introduced(tautology,[refl,[$fot(antidomain(coantidomain(codomain(one))))]]) ).
cnf(refute_0_445,plain,
( antidomain(coantidomain(codomain(one))) != antidomain(coantidomain(codomain(one)))
| coantidomain(codomain(one)) != zero
| antidomain(coantidomain(codomain(one))) = antidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(coantidomain(codomain(one))),antidomain(coantidomain(codomain(one)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_446,plain,
( coantidomain(codomain(one)) != zero
| antidomain(coantidomain(codomain(one))) = antidomain(zero) ),
inference(resolve,[$cnf( $equal(antidomain(coantidomain(codomain(one))),antidomain(coantidomain(codomain(one)))) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
antidomain(coantidomain(codomain(one))) = antidomain(zero),
inference(resolve,[$cnf( $equal(coantidomain(codomain(one)),zero) )],[refute_0_443,refute_0_446]) ).
cnf(refute_0_448,plain,
( antidomain(coantidomain(codomain(one))) != antidomain(zero)
| antidomain(zero) != one
| antidomain(coantidomain(codomain(one))) = one ),
inference(subst,[],[refute_0_222:[bind(X,$fot(antidomain(coantidomain(codomain(one))))),bind(Y,$fot(antidomain(zero))),bind(Z,$fot(one))]]) ).
cnf(refute_0_449,plain,
( antidomain(zero) != one
| antidomain(coantidomain(codomain(one))) = one ),
inference(resolve,[$cnf( $equal(antidomain(coantidomain(codomain(one))),antidomain(zero)) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
antidomain(coantidomain(codomain(one))) = one,
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_417,refute_0_449]) ).
cnf(refute_0_451,plain,
codomain(antidomain(coantidomain(codomain(one)))) = codomain(antidomain(coantidomain(codomain(one)))),
introduced(tautology,[refl,[$fot(codomain(antidomain(coantidomain(codomain(one)))))]]) ).
cnf(refute_0_452,plain,
( antidomain(coantidomain(codomain(one))) != one
| codomain(antidomain(coantidomain(codomain(one)))) != codomain(antidomain(coantidomain(codomain(one))))
| codomain(antidomain(coantidomain(codomain(one)))) = codomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(antidomain(coantidomain(codomain(one)))),codomain(antidomain(coantidomain(codomain(one))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_453,plain,
( antidomain(coantidomain(codomain(one))) != one
| codomain(antidomain(coantidomain(codomain(one)))) = codomain(one) ),
inference(resolve,[$cnf( $equal(codomain(antidomain(coantidomain(codomain(one)))),codomain(antidomain(coantidomain(codomain(one))))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
codomain(antidomain(coantidomain(codomain(one)))) = codomain(one),
inference(resolve,[$cnf( $equal(antidomain(coantidomain(codomain(one))),one) )],[refute_0_450,refute_0_453]) ).
cnf(refute_0_455,plain,
( codomain(antidomain(coantidomain(codomain(one)))) != codomain(one)
| codomain(one) != one
| codomain(antidomain(coantidomain(codomain(one)))) = one ),
inference(subst,[],[refute_0_222:[bind(X,$fot(codomain(antidomain(coantidomain(codomain(one)))))),bind(Y,$fot(codomain(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_456,plain,
( codomain(one) != one
| codomain(antidomain(coantidomain(codomain(one)))) = one ),
inference(resolve,[$cnf( $equal(codomain(antidomain(coantidomain(codomain(one)))),codomain(one)) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
codomain(antidomain(coantidomain(codomain(one)))) = one,
inference(resolve,[$cnf( $equal(codomain(one),one) )],[refute_0_436,refute_0_456]) ).
cnf(refute_0_458,plain,
multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) = multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),
introduced(tautology,[refl,[$fot(multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_459,plain,
( codomain(antidomain(coantidomain(codomain(one)))) != one
| multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) != multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))
| multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) = multiplication(one,multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_460,plain,
( codomain(antidomain(coantidomain(codomain(one)))) != one
| multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) = multiplication(one,multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) = multiplication(one,multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(codomain(antidomain(coantidomain(codomain(one)))),one) )],[refute_0_457,refute_0_460]) ).
cnf(refute_0_462,plain,
( multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) != multiplication(one,multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))
| multiplication(one,multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) != multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) = multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) ),
inference(subst,[],[refute_0_222:[bind(X,$fot(multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))),bind(Y,$fot(multiplication(one,multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))),bind(Z,$fot(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_463,plain,
( multiplication(one,multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) != multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) = multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),multiplication(one,multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) = multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) )],[refute_0_433,refute_0_463]) ).
cnf(refute_0_465,plain,
( multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) != multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) != zero
| multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),zero) ),[0],$fot(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_466,plain,
( multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) != zero
| multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) = zero,
inference(resolve,[$cnf( $equal(multiplication(codomain(antidomain(coantidomain(codomain(one)))),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))),zero) )],[refute_0_432,refute_0_466]) ).
cnf(refute_0_468,plain,
( multiplication(addition(A,codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)) != addition(multiplication(A,domain(skolemFOFtoCNF_X1)),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))
| multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) != zero
| multiplication(addition(A,codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)) = addition(multiplication(A,domain(skolemFOFtoCNF_X1)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)),addition(multiplication(A,domain(skolemFOFtoCNF_X1)),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_469,plain,
( multiplication(addition(A,codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)) != addition(multiplication(A,domain(skolemFOFtoCNF_X1)),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))
| multiplication(addition(A,codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)) = addition(multiplication(A,domain(skolemFOFtoCNF_X1)),zero) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)),zero) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
multiplication(addition(A,codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)) = addition(multiplication(A,domain(skolemFOFtoCNF_X1)),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(A,codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)),addition(multiplication(A,domain(skolemFOFtoCNF_X1)),multiplication(codomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) )],[refute_0_55,refute_0_469]) ).
cnf(refute_0_471,plain,
addition(multiplication(A,domain(skolemFOFtoCNF_X1)),zero) = multiplication(A,domain(skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_15:[bind(A,$fot(multiplication(A,domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_472,plain,
( addition(multiplication(A,domain(skolemFOFtoCNF_X1)),zero) != multiplication(A,domain(skolemFOFtoCNF_X1))
| multiplication(addition(A,codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)) != addition(multiplication(A,domain(skolemFOFtoCNF_X1)),zero)
| multiplication(addition(A,codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)) = multiplication(A,domain(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(A,codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)),addition(multiplication(A,domain(skolemFOFtoCNF_X1)),zero)) ),[1],$fot(multiplication(A,domain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_473,plain,
( multiplication(addition(A,codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)) != addition(multiplication(A,domain(skolemFOFtoCNF_X1)),zero)
| multiplication(addition(A,codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)) = multiplication(A,domain(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,domain(skolemFOFtoCNF_X1)),zero),multiplication(A,domain(skolemFOFtoCNF_X1))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
multiplication(addition(A,codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)) = multiplication(A,domain(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(A,codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)),addition(multiplication(A,domain(skolemFOFtoCNF_X1)),zero)) )],[refute_0_470,refute_0_473]) ).
cnf(refute_0_475,plain,
multiplication(addition(coantidomain(domain(skolemFOFtoCNF_X0)),codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)) = multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_474:[bind(A,$fot(coantidomain(domain(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_476,plain,
addition(coantidomain(domain(skolemFOFtoCNF_X0)),codomain(domain(skolemFOFtoCNF_X0))) = one,
inference(subst,[],[refute_0_108:[bind(X0,$fot(domain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_477,plain,
( addition(coantidomain(domain(skolemFOFtoCNF_X0)),codomain(domain(skolemFOFtoCNF_X0))) != one
| multiplication(addition(coantidomain(domain(skolemFOFtoCNF_X0)),codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)) != multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| multiplication(one,domain(skolemFOFtoCNF_X1)) = multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(coantidomain(domain(skolemFOFtoCNF_X0)),codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)),multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_478,plain,
( multiplication(addition(coantidomain(domain(skolemFOFtoCNF_X0)),codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)) != multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| multiplication(one,domain(skolemFOFtoCNF_X1)) = multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(domain(skolemFOFtoCNF_X0)),codomain(domain(skolemFOFtoCNF_X0))),one) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
multiplication(one,domain(skolemFOFtoCNF_X1)) = multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(coantidomain(domain(skolemFOFtoCNF_X0)),codomain(domain(skolemFOFtoCNF_X0))),domain(skolemFOFtoCNF_X1)),multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) )],[refute_0_475,refute_0_478]) ).
cnf(refute_0_480,plain,
multiplication(one,domain(skolemFOFtoCNF_X1)) = domain(skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_2:[bind(A,$fot(domain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_481,plain,
( multiplication(one,domain(skolemFOFtoCNF_X1)) != domain(skolemFOFtoCNF_X1)
| multiplication(one,domain(skolemFOFtoCNF_X1)) != multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| domain(skolemFOFtoCNF_X1) = multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,domain(skolemFOFtoCNF_X1)),multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) ),[0],$fot(domain(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_482,plain,
( multiplication(one,domain(skolemFOFtoCNF_X1)) != multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| domain(skolemFOFtoCNF_X1) = multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X1)) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
domain(skolemFOFtoCNF_X1) = multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(multiplication(one,domain(skolemFOFtoCNF_X1)),multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) )],[refute_0_479,refute_0_482]) ).
cnf(refute_0_484,plain,
( domain(skolemFOFtoCNF_X1) != multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) = domain(skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(domain(skolemFOFtoCNF_X1))),bind(Y,$fot(multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_485,plain,
multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) = domain(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X1),multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
( multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) != addition(coantidomain(domain(skolemFOFtoCNF_X0)),multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))
| multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) != domain(skolemFOFtoCNF_X1)
| multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) = addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))),addition(coantidomain(domain(skolemFOFtoCNF_X0)),multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) ),[1,1],$fot(domain(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_487,plain,
( multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) != addition(coantidomain(domain(skolemFOFtoCNF_X0)),multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))
| multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) = addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X1)) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) = addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))),addition(coantidomain(domain(skolemFOFtoCNF_X0)),multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)))) )],[refute_0_54,refute_0_487]) ).
cnf(refute_0_489,plain,
multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),one) = coantidomain(domain(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_49:[bind(A,$fot(coantidomain(domain(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_490,plain,
addition(domain(X_9),addition(antidomain(domain(X_9)),X_51)) = addition(addition(domain(X_9),antidomain(domain(X_9))),X_51),
inference(subst,[],[refute_0_21:[bind(A,$fot(domain(X_9))),bind(B,$fot(antidomain(domain(X_9)))),bind(C,$fot(X_51))]]) ).
cnf(refute_0_491,plain,
addition(antidomain(antidomain(X_9)),domain(antidomain(X_9))) = one,
inference(subst,[],[refute_0_43:[bind(X0,$fot(antidomain(X_9)))]]) ).
cnf(refute_0_492,plain,
domain(X_9) = antidomain(antidomain(X_9)),
inference(subst,[],[refute_0_34:[bind(X0,$fot(X_9))]]) ).
cnf(refute_0_493,plain,
( domain(X_9) != antidomain(antidomain(X_9))
| antidomain(antidomain(X_9)) = domain(X_9) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(domain(X_9))),bind(Y,$fot(antidomain(antidomain(X_9))))]]) ).
cnf(refute_0_494,plain,
antidomain(antidomain(X_9)) = domain(X_9),
inference(resolve,[$cnf( $equal(domain(X_9),antidomain(antidomain(X_9))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
( addition(antidomain(antidomain(X_9)),domain(antidomain(X_9))) != one
| antidomain(antidomain(X_9)) != domain(X_9)
| addition(domain(X_9),domain(antidomain(X_9))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_9)),domain(antidomain(X_9))),one) ),[0,0],$fot(domain(X_9))]]) ).
cnf(refute_0_496,plain,
( addition(antidomain(antidomain(X_9)),domain(antidomain(X_9))) != one
| addition(domain(X_9),domain(antidomain(X_9))) = one ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_9)),domain(X_9)) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
addition(domain(X_9),domain(antidomain(X_9))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_9)),domain(antidomain(X_9))),one) )],[refute_0_491,refute_0_496]) ).
cnf(refute_0_498,plain,
domain(antidomain(X_9)) = antidomain(antidomain(antidomain(X_9))),
inference(subst,[],[refute_0_34:[bind(X0,$fot(antidomain(X_9)))]]) ).
cnf(refute_0_499,plain,
( antidomain(antidomain(X_9)) != domain(X_9)
| domain(antidomain(X_9)) != antidomain(antidomain(antidomain(X_9)))
| domain(antidomain(X_9)) = antidomain(domain(X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_9)),antidomain(antidomain(antidomain(X_9)))) ),[1,0],$fot(domain(X_9))]]) ).
cnf(refute_0_500,plain,
( domain(antidomain(X_9)) != antidomain(antidomain(antidomain(X_9)))
| domain(antidomain(X_9)) = antidomain(domain(X_9)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_9)),domain(X_9)) )],[refute_0_494,refute_0_499]) ).
cnf(refute_0_501,plain,
domain(antidomain(X_9)) = antidomain(domain(X_9)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_9)),antidomain(antidomain(antidomain(X_9)))) )],[refute_0_498,refute_0_500]) ).
cnf(refute_0_502,plain,
addition(domain(X_9),domain(antidomain(X_9))) = addition(domain(X_9),domain(antidomain(X_9))),
introduced(tautology,[refl,[$fot(addition(domain(X_9),domain(antidomain(X_9))))]]) ).
cnf(refute_0_503,plain,
( addition(domain(X_9),domain(antidomain(X_9))) != addition(domain(X_9),domain(antidomain(X_9)))
| domain(antidomain(X_9)) != antidomain(domain(X_9))
| addition(domain(X_9),domain(antidomain(X_9))) = addition(domain(X_9),antidomain(domain(X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_9),domain(antidomain(X_9))),addition(domain(X_9),domain(antidomain(X_9)))) ),[1,1],$fot(antidomain(domain(X_9)))]]) ).
cnf(refute_0_504,plain,
( domain(antidomain(X_9)) != antidomain(domain(X_9))
| addition(domain(X_9),domain(antidomain(X_9))) = addition(domain(X_9),antidomain(domain(X_9))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_9),domain(antidomain(X_9))),addition(domain(X_9),domain(antidomain(X_9)))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
addition(domain(X_9),domain(antidomain(X_9))) = addition(domain(X_9),antidomain(domain(X_9))),
inference(resolve,[$cnf( $equal(domain(antidomain(X_9)),antidomain(domain(X_9))) )],[refute_0_501,refute_0_504]) ).
cnf(refute_0_506,plain,
( addition(domain(X_9),domain(antidomain(X_9))) != addition(domain(X_9),antidomain(domain(X_9)))
| addition(domain(X_9),domain(antidomain(X_9))) != one
| addition(domain(X_9),antidomain(domain(X_9))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_9),domain(antidomain(X_9))),one) ),[0],$fot(addition(domain(X_9),antidomain(domain(X_9))))]]) ).
cnf(refute_0_507,plain,
( addition(domain(X_9),domain(antidomain(X_9))) != one
| addition(domain(X_9),antidomain(domain(X_9))) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X_9),domain(antidomain(X_9))),addition(domain(X_9),antidomain(domain(X_9)))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
addition(domain(X_9),antidomain(domain(X_9))) = one,
inference(resolve,[$cnf( $equal(addition(domain(X_9),domain(antidomain(X_9))),one) )],[refute_0_497,refute_0_507]) ).
cnf(refute_0_509,plain,
( addition(domain(X_9),addition(antidomain(domain(X_9)),X_51)) != addition(addition(domain(X_9),antidomain(domain(X_9))),X_51)
| addition(domain(X_9),antidomain(domain(X_9))) != one
| addition(domain(X_9),addition(antidomain(domain(X_9)),X_51)) = addition(one,X_51) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_9),addition(antidomain(domain(X_9)),X_51)),addition(addition(domain(X_9),antidomain(domain(X_9))),X_51)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_510,plain,
( addition(domain(X_9),addition(antidomain(domain(X_9)),X_51)) != addition(addition(domain(X_9),antidomain(domain(X_9))),X_51)
| addition(domain(X_9),addition(antidomain(domain(X_9)),X_51)) = addition(one,X_51) ),
inference(resolve,[$cnf( $equal(addition(domain(X_9),antidomain(domain(X_9))),one) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
addition(domain(X_9),addition(antidomain(domain(X_9)),X_51)) = addition(one,X_51),
inference(resolve,[$cnf( $equal(addition(domain(X_9),addition(antidomain(domain(X_9)),X_51)),addition(addition(domain(X_9),antidomain(domain(X_9))),X_51)) )],[refute_0_490,refute_0_510]) ).
cnf(refute_0_512,plain,
addition(domain(X_62),addition(antidomain(domain(X_62)),antidomain(domain(X_62)))) = addition(one,antidomain(domain(X_62))),
inference(subst,[],[refute_0_511:[bind(X_51,$fot(antidomain(domain(X_62)))),bind(X_9,$fot(X_62))]]) ).
cnf(refute_0_513,plain,
addition(antidomain(domain(X_62)),antidomain(domain(X_62))) = antidomain(domain(X_62)),
inference(subst,[],[refute_0_150:[bind(A,$fot(antidomain(domain(X_62))))]]) ).
cnf(refute_0_514,plain,
( addition(antidomain(domain(X_62)),antidomain(domain(X_62))) != antidomain(domain(X_62))
| addition(domain(X_62),addition(antidomain(domain(X_62)),antidomain(domain(X_62)))) != addition(one,antidomain(domain(X_62)))
| addition(domain(X_62),antidomain(domain(X_62))) = addition(one,antidomain(domain(X_62))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_62),addition(antidomain(domain(X_62)),antidomain(domain(X_62)))),addition(one,antidomain(domain(X_62)))) ),[0,1],$fot(antidomain(domain(X_62)))]]) ).
cnf(refute_0_515,plain,
( addition(domain(X_62),addition(antidomain(domain(X_62)),antidomain(domain(X_62)))) != addition(one,antidomain(domain(X_62)))
| addition(domain(X_62),antidomain(domain(X_62))) = addition(one,antidomain(domain(X_62))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_62)),antidomain(domain(X_62))),antidomain(domain(X_62))) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
addition(domain(X_62),antidomain(domain(X_62))) = addition(one,antidomain(domain(X_62))),
inference(resolve,[$cnf( $equal(addition(domain(X_62),addition(antidomain(domain(X_62)),antidomain(domain(X_62)))),addition(one,antidomain(domain(X_62)))) )],[refute_0_512,refute_0_515]) ).
cnf(refute_0_517,plain,
addition(domain(X_62),antidomain(domain(X_62))) = one,
inference(subst,[],[refute_0_508:[bind(X_9,$fot(X_62))]]) ).
cnf(refute_0_518,plain,
( addition(domain(X_62),antidomain(domain(X_62))) != addition(one,antidomain(domain(X_62)))
| addition(domain(X_62),antidomain(domain(X_62))) != one
| one = addition(one,antidomain(domain(X_62))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_62),antidomain(domain(X_62))),addition(one,antidomain(domain(X_62)))) ),[0],$fot(one)]]) ).
cnf(refute_0_519,plain,
( addition(domain(X_62),antidomain(domain(X_62))) != addition(one,antidomain(domain(X_62)))
| one = addition(one,antidomain(domain(X_62))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_62),antidomain(domain(X_62))),one) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
one = addition(one,antidomain(domain(X_62))),
inference(resolve,[$cnf( $equal(addition(domain(X_62),antidomain(domain(X_62))),addition(one,antidomain(domain(X_62)))) )],[refute_0_516,refute_0_519]) ).
cnf(refute_0_521,plain,
one = addition(one,antidomain(domain(antidomain(X_9)))),
inference(subst,[],[refute_0_520:[bind(X_62,$fot(antidomain(X_9)))]]) ).
cnf(refute_0_522,plain,
( domain(antidomain(X_9)) != antidomain(domain(X_9))
| one != addition(one,antidomain(domain(antidomain(X_9))))
| one = addition(one,antidomain(antidomain(domain(X_9)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,antidomain(domain(antidomain(X_9))))) ),[1,1,0],$fot(antidomain(domain(X_9)))]]) ).
cnf(refute_0_523,plain,
( one != addition(one,antidomain(domain(antidomain(X_9))))
| one = addition(one,antidomain(antidomain(domain(X_9)))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_9)),antidomain(domain(X_9))) )],[refute_0_501,refute_0_522]) ).
cnf(refute_0_524,plain,
one = addition(one,antidomain(antidomain(domain(X_9)))),
inference(resolve,[$cnf( $equal(one,addition(one,antidomain(domain(antidomain(X_9))))) )],[refute_0_521,refute_0_523]) ).
cnf(refute_0_525,plain,
addition(domain(X_62),addition(antidomain(domain(X_62)),domain(domain(X_62)))) = addition(one,domain(domain(X_62))),
inference(subst,[],[refute_0_511:[bind(X_51,$fot(domain(domain(X_62)))),bind(X_9,$fot(X_62))]]) ).
cnf(refute_0_526,plain,
addition(antidomain(domain(X_62)),domain(domain(X_62))) = one,
inference(subst,[],[refute_0_43:[bind(X0,$fot(domain(X_62)))]]) ).
cnf(refute_0_527,plain,
( addition(antidomain(domain(X_62)),domain(domain(X_62))) != one
| addition(domain(X_62),addition(antidomain(domain(X_62)),domain(domain(X_62)))) != addition(one,domain(domain(X_62)))
| addition(domain(X_62),one) = addition(one,domain(domain(X_62))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_62),addition(antidomain(domain(X_62)),domain(domain(X_62)))),addition(one,domain(domain(X_62)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_528,plain,
( addition(domain(X_62),addition(antidomain(domain(X_62)),domain(domain(X_62)))) != addition(one,domain(domain(X_62)))
| addition(domain(X_62),one) = addition(one,domain(domain(X_62))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_62)),domain(domain(X_62))),one) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
addition(domain(X_62),one) = addition(one,domain(domain(X_62))),
inference(resolve,[$cnf( $equal(addition(domain(X_62),addition(antidomain(domain(X_62)),domain(domain(X_62)))),addition(one,domain(domain(X_62)))) )],[refute_0_525,refute_0_528]) ).
cnf(refute_0_530,plain,
addition(domain(X_62),one) = addition(one,domain(X_62)),
inference(subst,[],[refute_0_29:[bind(A,$fot(one)),bind(B,$fot(domain(X_62)))]]) ).
cnf(refute_0_531,plain,
( addition(domain(X_62),one) != addition(one,domain(X_62))
| addition(domain(X_62),one) != addition(one,domain(domain(X_62)))
| addition(one,domain(X_62)) = addition(one,domain(domain(X_62))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_62),one),addition(one,domain(domain(X_62)))) ),[0],$fot(addition(one,domain(X_62)))]]) ).
cnf(refute_0_532,plain,
( addition(domain(X_62),one) != addition(one,domain(domain(X_62)))
| addition(one,domain(X_62)) = addition(one,domain(domain(X_62))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_62),one),addition(one,domain(X_62))) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
addition(one,domain(X_62)) = addition(one,domain(domain(X_62))),
inference(resolve,[$cnf( $equal(addition(domain(X_62),one),addition(one,domain(domain(X_62)))) )],[refute_0_529,refute_0_532]) ).
cnf(refute_0_534,plain,
( addition(one,domain(X_62)) != addition(one,domain(domain(X_62)))
| addition(one,domain(domain(X_62))) = addition(one,domain(X_62)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(addition(one,domain(X_62)))),bind(Y,$fot(addition(one,domain(domain(X_62)))))]]) ).
cnf(refute_0_535,plain,
addition(one,domain(domain(X_62))) = addition(one,domain(X_62)),
inference(resolve,[$cnf( $equal(addition(one,domain(X_62)),addition(one,domain(domain(X_62)))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
addition(one,domain(domain(X_9))) = addition(one,domain(X_9)),
inference(subst,[],[refute_0_535:[bind(X_62,$fot(X_9))]]) ).
cnf(refute_0_537,plain,
antidomain(antidomain(domain(X_9))) = domain(domain(X_9)),
inference(subst,[],[refute_0_36:[bind(X0,$fot(domain(X_9)))]]) ).
cnf(refute_0_538,plain,
addition(one,antidomain(antidomain(domain(X_9)))) = addition(one,antidomain(antidomain(domain(X_9)))),
introduced(tautology,[refl,[$fot(addition(one,antidomain(antidomain(domain(X_9)))))]]) ).
cnf(refute_0_539,plain,
( addition(one,antidomain(antidomain(domain(X_9)))) != addition(one,antidomain(antidomain(domain(X_9))))
| antidomain(antidomain(domain(X_9))) != domain(domain(X_9))
| addition(one,antidomain(antidomain(domain(X_9)))) = addition(one,domain(domain(X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,antidomain(antidomain(domain(X_9)))),addition(one,antidomain(antidomain(domain(X_9))))) ),[1,1],$fot(domain(domain(X_9)))]]) ).
cnf(refute_0_540,plain,
( antidomain(antidomain(domain(X_9))) != domain(domain(X_9))
| addition(one,antidomain(antidomain(domain(X_9)))) = addition(one,domain(domain(X_9))) ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(antidomain(domain(X_9)))),addition(one,antidomain(antidomain(domain(X_9))))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
addition(one,antidomain(antidomain(domain(X_9)))) = addition(one,domain(domain(X_9))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(domain(X_9))),domain(domain(X_9))) )],[refute_0_537,refute_0_540]) ).
cnf(refute_0_542,plain,
( addition(one,antidomain(antidomain(domain(X_9)))) != addition(one,domain(domain(X_9)))
| addition(one,domain(domain(X_9))) != addition(one,domain(X_9))
| addition(one,antidomain(antidomain(domain(X_9)))) = addition(one,domain(X_9)) ),
inference(subst,[],[refute_0_222:[bind(X,$fot(addition(one,antidomain(antidomain(domain(X_9)))))),bind(Y,$fot(addition(one,domain(domain(X_9))))),bind(Z,$fot(addition(one,domain(X_9))))]]) ).
cnf(refute_0_543,plain,
( addition(one,domain(domain(X_9))) != addition(one,domain(X_9))
| addition(one,antidomain(antidomain(domain(X_9)))) = addition(one,domain(X_9)) ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(antidomain(domain(X_9)))),addition(one,domain(domain(X_9)))) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
addition(one,antidomain(antidomain(domain(X_9)))) = addition(one,domain(X_9)),
inference(resolve,[$cnf( $equal(addition(one,domain(domain(X_9))),addition(one,domain(X_9))) )],[refute_0_536,refute_0_543]) ).
cnf(refute_0_545,plain,
( addition(one,antidomain(antidomain(domain(X_9)))) != addition(one,domain(X_9))
| one != addition(one,antidomain(antidomain(domain(X_9))))
| one = addition(one,domain(X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,antidomain(antidomain(domain(X_9))))) ),[1],$fot(addition(one,domain(X_9)))]]) ).
cnf(refute_0_546,plain,
( one != addition(one,antidomain(antidomain(domain(X_9))))
| one = addition(one,domain(X_9)) ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(antidomain(domain(X_9)))),addition(one,domain(X_9))) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
one = addition(one,domain(X_9)),
inference(resolve,[$cnf( $equal(one,addition(one,antidomain(antidomain(domain(X_9))))) )],[refute_0_524,refute_0_546]) ).
cnf(refute_0_548,plain,
( one != addition(one,domain(X_9))
| addition(one,domain(X_9)) = one ),
inference(subst,[],[refute_0_27:[bind(X,$fot(one)),bind(Y,$fot(addition(one,domain(X_9))))]]) ).
cnf(refute_0_549,plain,
addition(one,domain(X_9)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,domain(X_9))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
addition(one,domain(skolemFOFtoCNF_X1)) = one,
inference(subst,[],[refute_0_549:[bind(X_9,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_551,plain,
multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) = multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))),
introduced(tautology,[refl,[$fot(multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_552,plain,
( addition(one,domain(skolemFOFtoCNF_X1)) != one
| multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) != multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1)))
| multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) = multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))),multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_553,plain,
( addition(one,domain(skolemFOFtoCNF_X1)) != one
| multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) = multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),one) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))),multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1)))) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) = multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),one),
inference(resolve,[$cnf( $equal(addition(one,domain(skolemFOFtoCNF_X1)),one) )],[refute_0_550,refute_0_553]) ).
cnf(refute_0_555,plain,
( multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) != multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),one)
| multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),one) != coantidomain(domain(skolemFOFtoCNF_X0))
| multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) = coantidomain(domain(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_222:[bind(X,$fot(multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))))),bind(Y,$fot(multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),one))),bind(Z,$fot(coantidomain(domain(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_556,plain,
( multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),one) != coantidomain(domain(skolemFOFtoCNF_X0))
| multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) = coantidomain(domain(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))),multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),one)) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) = coantidomain(domain(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),one),coantidomain(domain(skolemFOFtoCNF_X0))) )],[refute_0_489,refute_0_556]) ).
cnf(refute_0_558,plain,
( multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) != addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) != coantidomain(domain(skolemFOFtoCNF_X0))
| coantidomain(domain(skolemFOFtoCNF_X0)) = addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))),addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) ),[0],$fot(coantidomain(domain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_559,plain,
( multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) != addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| coantidomain(domain(skolemFOFtoCNF_X0)) = addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))),coantidomain(domain(skolemFOFtoCNF_X0))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) = addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_29:[bind(A,$fot(domain(skolemFOFtoCNF_X1))),bind(B,$fot(coantidomain(domain(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_561,plain,
( addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)) != addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0)))
| coantidomain(domain(skolemFOFtoCNF_X0)) != addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| coantidomain(domain(skolemFOFtoCNF_X0)) = addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(coantidomain(domain(skolemFOFtoCNF_X0)),addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) ),[1],$fot(addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_562,plain,
( coantidomain(domain(skolemFOFtoCNF_X0)) != addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| coantidomain(domain(skolemFOFtoCNF_X0)) = addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1)),addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0)))) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
( multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))) != addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))
| coantidomain(domain(skolemFOFtoCNF_X0)) = addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(coantidomain(domain(skolemFOFtoCNF_X0)),addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) )],[refute_0_559,refute_0_562]) ).
cnf(refute_0_564,plain,
coantidomain(domain(skolemFOFtoCNF_X0)) = addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(multiplication(coantidomain(domain(skolemFOFtoCNF_X0)),addition(one,domain(skolemFOFtoCNF_X1))),addition(coantidomain(domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X1))) )],[refute_0_488,refute_0_563]) ).
cnf(refute_0_565,plain,
( coantidomain(domain(skolemFOFtoCNF_X0)) != addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0)))
| addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))) = coantidomain(domain(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(coantidomain(domain(skolemFOFtoCNF_X0)))),bind(Y,$fot(addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_566,plain,
addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))) = coantidomain(domain(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(coantidomain(domain(skolemFOFtoCNF_X0)),addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0)))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
( addition(antidomain(skolemFOFtoCNF_X1),addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0)))) != addition(one,coantidomain(domain(skolemFOFtoCNF_X0)))
| addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))) != coantidomain(domain(skolemFOFtoCNF_X0))
| addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))) = addition(one,coantidomain(domain(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(skolemFOFtoCNF_X1),addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0)))),addition(one,coantidomain(domain(skolemFOFtoCNF_X0)))) ),[0,1],$fot(coantidomain(domain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_568,plain,
( addition(antidomain(skolemFOFtoCNF_X1),addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0)))) != addition(one,coantidomain(domain(skolemFOFtoCNF_X0)))
| addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))) = addition(one,coantidomain(domain(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))),coantidomain(domain(skolemFOFtoCNF_X0))) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))) = addition(one,coantidomain(domain(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(addition(antidomain(skolemFOFtoCNF_X1),addition(domain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0)))),addition(one,coantidomain(domain(skolemFOFtoCNF_X0)))) )],[refute_0_47,refute_0_568]) ).
cnf(refute_0_570,plain,
addition(one,coantidomain(domain(skolemFOFtoCNF_X0))) = one,
inference(subst,[],[refute_0_198:[bind(X_10,$fot(domain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_571,plain,
( addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))) != addition(one,coantidomain(domain(skolemFOFtoCNF_X0)))
| addition(one,coantidomain(domain(skolemFOFtoCNF_X0))) != one
| addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))),one) ),[0],$fot(addition(one,coantidomain(domain(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_572,plain,
( addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))) != addition(one,coantidomain(domain(skolemFOFtoCNF_X0)))
| addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))) = one ),
inference(resolve,[$cnf( $equal(addition(one,coantidomain(domain(skolemFOFtoCNF_X0))),one) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))),addition(one,coantidomain(domain(skolemFOFtoCNF_X0)))) )],[refute_0_569,refute_0_572]) ).
cnf(refute_0_574,plain,
( addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))) != one
| multiplication(domain(skolemFOFtoCNF_X0),addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0)))) != multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1))
| multiplication(domain(skolemFOFtoCNF_X0),one) = multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X0),addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0)))),multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_575,plain,
( multiplication(domain(skolemFOFtoCNF_X0),addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0)))) != multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1))
| multiplication(domain(skolemFOFtoCNF_X0),one) = multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0))),one) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
multiplication(domain(skolemFOFtoCNF_X0),one) = multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X0),addition(antidomain(skolemFOFtoCNF_X1),coantidomain(domain(skolemFOFtoCNF_X0)))),multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1))) )],[refute_0_20,refute_0_575]) ).
cnf(refute_0_577,plain,
multiplication(domain(skolemFOFtoCNF_X0),one) = domain(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_49:[bind(A,$fot(domain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_578,plain,
( multiplication(domain(skolemFOFtoCNF_X0),one) != domain(skolemFOFtoCNF_X0)
| multiplication(domain(skolemFOFtoCNF_X0),one) != multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1))
| domain(skolemFOFtoCNF_X0) = multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X0),one),multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1))) ),[0],$fot(domain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_579,plain,
( multiplication(domain(skolemFOFtoCNF_X0),one) != multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1))
| domain(skolemFOFtoCNF_X0) = multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X0),one),domain(skolemFOFtoCNF_X0)) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
domain(skolemFOFtoCNF_X0) = multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X0),one),multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1))) )],[refute_0_576,refute_0_579]) ).
cnf(refute_0_581,plain,
( domain(skolemFOFtoCNF_X0) != multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1))
| multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)) = domain(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(domain(skolemFOFtoCNF_X0))),bind(Y,$fot(multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_582,plain,
multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)) = domain(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X0),multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
( multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) != addition(antidomain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)))
| multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)) != domain(skolemFOFtoCNF_X0)
| multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) = addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)),addition(antidomain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)))) ),[1,1],$fot(domain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_584,plain,
( multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) != addition(antidomain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)))
| multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) = addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X0)) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) = addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)),addition(antidomain(skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)))) )],[refute_0_7,refute_0_584]) ).
cnf(refute_0_586,plain,
multiplication(one,antidomain(skolemFOFtoCNF_X1)) = antidomain(skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_2:[bind(A,$fot(antidomain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_587,plain,
addition(one,domain(skolemFOFtoCNF_X0)) = one,
inference(subst,[],[refute_0_549:[bind(X_9,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_588,plain,
multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) = multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_589,plain,
( addition(one,domain(skolemFOFtoCNF_X0)) != one
| multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) != multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1))
| multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) = multiplication(one,antidomain(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)),multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_590,plain,
( addition(one,domain(skolemFOFtoCNF_X0)) != one
| multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) = multiplication(one,antidomain(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)),multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1))) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) = multiplication(one,antidomain(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(addition(one,domain(skolemFOFtoCNF_X0)),one) )],[refute_0_587,refute_0_590]) ).
cnf(refute_0_592,plain,
( multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) != multiplication(one,antidomain(skolemFOFtoCNF_X1))
| multiplication(one,antidomain(skolemFOFtoCNF_X1)) != antidomain(skolemFOFtoCNF_X1)
| multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) = antidomain(skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_222:[bind(X,$fot(multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)))),bind(Y,$fot(multiplication(one,antidomain(skolemFOFtoCNF_X1)))),bind(Z,$fot(antidomain(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_593,plain,
( multiplication(one,antidomain(skolemFOFtoCNF_X1)) != antidomain(skolemFOFtoCNF_X1)
| multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) = antidomain(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)),multiplication(one,antidomain(skolemFOFtoCNF_X1))) )],[refute_0_591,refute_0_592]) ).
cnf(refute_0_594,plain,
multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) = antidomain(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(skolemFOFtoCNF_X1)),antidomain(skolemFOFtoCNF_X1)) )],[refute_0_586,refute_0_593]) ).
cnf(refute_0_595,plain,
( multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) != addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0))
| multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) != antidomain(skolemFOFtoCNF_X1)
| antidomain(skolemFOFtoCNF_X1) = addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)),addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0))) ),[0],$fot(antidomain(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_596,plain,
( multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) != addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0))
| antidomain(skolemFOFtoCNF_X1) = addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)),antidomain(skolemFOFtoCNF_X1)) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
antidomain(skolemFOFtoCNF_X1) = addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)),addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0))) )],[refute_0_585,refute_0_596]) ).
cnf(refute_0_598,plain,
addition(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)) != antidomain(skolemFOFtoCNF_X1),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_599,plain,
addition(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)) = addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_29:[bind(A,$fot(antidomain(skolemFOFtoCNF_X1))),bind(B,$fot(domain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_600,plain,
( addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)) != antidomain(skolemFOFtoCNF_X1)
| addition(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)) != addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0))
| addition(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)) = antidomain(skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)),addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0))) ),[1],$fot(antidomain(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_601,plain,
( addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)) != antidomain(skolemFOFtoCNF_X1)
| addition(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)) = antidomain(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)),addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0))) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)) != antidomain(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),antidomain(skolemFOFtoCNF_X1)),antidomain(skolemFOFtoCNF_X1)) )],[refute_0_601,refute_0_598]) ).
cnf(refute_0_603,plain,
( antidomain(skolemFOFtoCNF_X1) != addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0))
| addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)) = antidomain(skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(antidomain(skolemFOFtoCNF_X1))),bind(Y,$fot(addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_604,plain,
antidomain(skolemFOFtoCNF_X1) != addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0)),antidomain(skolemFOFtoCNF_X1)) )],[refute_0_603,refute_0_602]) ).
cnf(refute_0_605,plain,
$false,
inference(resolve,[$cnf( $equal(antidomain(skolemFOFtoCNF_X1),addition(antidomain(skolemFOFtoCNF_X1),domain(skolemFOFtoCNF_X0))) )],[refute_0_597,refute_0_604]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE088+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 08:32:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 6.01/6.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.01/6.26
% 6.01/6.26 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.16/6.34
%------------------------------------------------------------------------------