TSTP Solution File: KLE099+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE099+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.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 02:15:15 EDT 2022
% Result : Theorem 23.33s 23.52s
% Output : CNFRefutation 23.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 179
% Syntax : Number of formulae : 766 ( 409 unt; 0 def)
% Number of atoms : 1277 (1227 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 1022 ( 511 ~; 502 |; 3 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 1069 ( 40 sgn 105 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(additive_associativity,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) ).
fof(additive_identity,axiom,
! [A] : addition(A,zero) = A ).
fof(additive_idempotence,axiom,
! [A] : addition(A,A) = A ).
fof(multiplicative_associativity,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) ).
fof(multiplicative_right_identity,axiom,
! [A] : multiplication(A,one) = A ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A ).
fof(right_distributivity,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ).
fof(left_distributivity,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ).
fof(order,axiom,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ) ).
fof(domain1,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero ).
fof(domain2,axiom,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ).
fof(domain3,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one ).
fof(domain4,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)) ).
fof(complement,axiom,
! [X0] : c(X0) = antidomain(domain(X0)) ).
fof(domain_difference,axiom,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)) ).
fof(forward_diamond,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))) ).
fof(goals,conjecture,
! [X0,X1,X2] :
( addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2)
=> multiplication(antidomain(X2),multiplication(X0,domain(X1))) = zero ) ).
fof(subgoal_0,plain,
! [X0,X1,X2] :
( addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2)
=> multiplication(antidomain(X2),multiplication(X0,domain(X1))) = zero ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1,X2] :
( addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2)
=> multiplication(antidomain(X2),multiplication(X0,domain(X1))) = zero ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(canonicalize,[],[order]) ).
fof(normalize_0_1,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( ~ leq(A,B)
| addition(A,B) = B ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B] :
( ~ leq(A,B)
| addition(A,B) = B ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B] :
( addition(A,B) != B
| leq(A,B) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_5,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_6,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_8,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_10,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_12,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_14,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_16,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[domain4]) ).
fof(normalize_0_18,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_20,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(canonicalize,[],[domain_difference]) ).
fof(normalize_0_22,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_24,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_26,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_28,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
? [X0,X1,X2] :
( multiplication(antidomain(X2),multiplication(X0,domain(X1))) != zero
& addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_30,plain,
( multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) != zero
& addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) = domain(skolemFOFtoCNF_X2) ),
inference(skolemize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) = domain(skolemFOFtoCNF_X2),
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[forward_diamond]) ).
fof(normalize_0_33,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(canonicalize,[],[complement]) ).
fof(normalize_0_35,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_37,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,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_39,plain,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(specialize,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) != zero,
inference(conjunct,[],[normalize_0_30]) ).
cnf(refute_0_0,plain,
( ~ leq(A,B)
| addition(A,B) = B ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ leq(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero)
| addition(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) = zero ),
inference(subst,[],[refute_0_0:[bind(A,$fot(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))),bind(B,$fot(zero))]]) ).
cnf(refute_0_2,plain,
( addition(A,B) != B
| leq(A,B) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( addition(X_429,addition(X_429,X_169)) != addition(X_429,X_169)
| leq(X_429,addition(X_429,X_169)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_429)),bind(B,$fot(addition(X_429,X_169)))]]) ).
cnf(refute_0_4,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
addition(X_168,addition(X_168,X_169)) = addition(addition(X_168,X_168),X_169),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_168)),bind(B,$fot(X_168)),bind(C,$fot(X_169))]]) ).
cnf(refute_0_6,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
addition(X_168,X_168) = X_168,
inference(subst,[],[refute_0_6:[bind(A,$fot(X_168))]]) ).
cnf(refute_0_8,plain,
( addition(X_168,X_168) != X_168
| addition(X_168,addition(X_168,X_169)) != addition(addition(X_168,X_168),X_169)
| addition(X_168,addition(X_168,X_169)) = addition(X_168,X_169) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_168,addition(X_168,X_169)),addition(addition(X_168,X_168),X_169)) ),[1,0],$fot(X_168)]]) ).
cnf(refute_0_9,plain,
( addition(X_168,addition(X_168,X_169)) != addition(addition(X_168,X_168),X_169)
| addition(X_168,addition(X_168,X_169)) = addition(X_168,X_169) ),
inference(resolve,[$cnf( $equal(addition(X_168,X_168),X_168) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
addition(X_168,addition(X_168,X_169)) = addition(X_168,X_169),
inference(resolve,[$cnf( $equal(addition(X_168,addition(X_168,X_169)),addition(addition(X_168,X_168),X_169)) )],[refute_0_5,refute_0_9]) ).
cnf(refute_0_11,plain,
addition(X_429,addition(X_429,X_169)) = addition(X_429,X_169),
inference(subst,[],[refute_0_10:[bind(X_168,$fot(X_429))]]) ).
cnf(refute_0_12,plain,
( addition(X_429,X_169) != addition(X_429,X_169)
| addition(X_429,addition(X_429,X_169)) != addition(X_429,X_169)
| addition(X_429,addition(X_429,X_169)) = addition(X_429,X_169) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_429,addition(X_429,X_169)),addition(X_429,X_169)) ),[0,1],$fot(addition(X_429,X_169))]]) ).
cnf(refute_0_13,plain,
( addition(X_429,X_169) != addition(X_429,X_169)
| addition(X_429,addition(X_429,X_169)) = addition(X_429,X_169) ),
inference(resolve,[$cnf( $equal(addition(X_429,addition(X_429,X_169)),addition(X_429,X_169)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( addition(X_429,X_169) != addition(X_429,X_169)
| leq(X_429,addition(X_429,X_169)) ),
inference(resolve,[$cnf( $equal(addition(X_429,addition(X_429,X_169)),addition(X_429,X_169)) )],[refute_0_13,refute_0_3]) ).
cnf(refute_0_15,plain,
addition(X_429,X_169) = addition(X_429,X_169),
introduced(tautology,[refl,[$fot(addition(X_429,X_169))]]) ).
cnf(refute_0_16,plain,
leq(X_429,addition(X_429,X_169)),
inference(resolve,[$cnf( $equal(addition(X_429,X_169),addition(X_429,X_169)) )],[refute_0_15,refute_0_14]) ).
cnf(refute_0_17,plain,
leq(X_434,addition(X_434,addition(X_168,A))),
inference(subst,[],[refute_0_16:[bind(X_169,$fot(addition(X_168,A))),bind(X_429,$fot(X_434))]]) ).
cnf(refute_0_18,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_19,plain,
addition(A,addition(X_167,X_168)) = addition(addition(X_167,X_168),A),
inference(subst,[],[refute_0_18:[bind(B,$fot(addition(X_167,X_168)))]]) ).
cnf(refute_0_20,plain,
addition(X_167,addition(X_168,A)) = addition(addition(X_167,X_168),A),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_167)),bind(B,$fot(X_168)),bind(C,$fot(A))]]) ).
cnf(refute_0_21,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_22,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_23,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( addition(X_167,addition(X_168,A)) != addition(addition(X_167,X_168),A)
| addition(addition(X_167,X_168),A) = addition(X_167,addition(X_168,A)) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(addition(X_167,addition(X_168,A)))),bind(Y,$fot(addition(addition(X_167,X_168),A)))]]) ).
cnf(refute_0_25,plain,
addition(addition(X_167,X_168),A) = addition(X_167,addition(X_168,A)),
inference(resolve,[$cnf( $equal(addition(X_167,addition(X_168,A)),addition(addition(X_167,X_168),A)) )],[refute_0_20,refute_0_24]) ).
cnf(refute_0_26,plain,
( addition(A,addition(X_167,X_168)) != addition(addition(X_167,X_168),A)
| addition(addition(X_167,X_168),A) != addition(X_167,addition(X_168,A))
| addition(A,addition(X_167,X_168)) = addition(X_167,addition(X_168,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(A,addition(X_167,X_168)),addition(X_167,addition(X_168,A))) ),[0],$fot(addition(addition(X_167,X_168),A))]]) ).
cnf(refute_0_27,plain,
( addition(A,addition(X_167,X_168)) != addition(addition(X_167,X_168),A)
| addition(A,addition(X_167,X_168)) = addition(X_167,addition(X_168,A)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_167,X_168),A),addition(X_167,addition(X_168,A))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
addition(A,addition(X_167,X_168)) = addition(X_167,addition(X_168,A)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_167,X_168)),addition(addition(X_167,X_168),A)) )],[refute_0_19,refute_0_27]) ).
cnf(refute_0_29,plain,
addition(A,addition(X_434,X_168)) = addition(X_434,addition(X_168,A)),
inference(subst,[],[refute_0_28:[bind(X_167,$fot(X_434))]]) ).
cnf(refute_0_30,plain,
( addition(A,addition(X_434,X_168)) != addition(X_434,addition(X_168,A))
| addition(X_434,addition(X_168,A)) = addition(A,addition(X_434,X_168)) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(addition(A,addition(X_434,X_168)))),bind(Y,$fot(addition(X_434,addition(X_168,A))))]]) ).
cnf(refute_0_31,plain,
addition(X_434,addition(X_168,A)) = addition(A,addition(X_434,X_168)),
inference(resolve,[$cnf( $equal(addition(A,addition(X_434,X_168)),addition(X_434,addition(X_168,A))) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
( addition(X_434,addition(X_168,A)) != addition(A,addition(X_434,X_168))
| ~ leq(X_434,addition(X_434,addition(X_168,A)))
| leq(X_434,addition(A,addition(X_434,X_168))) ),
introduced(tautology,[equality,[$cnf( leq(X_434,addition(X_434,addition(X_168,A))) ),[1],$fot(addition(A,addition(X_434,X_168)))]]) ).
cnf(refute_0_33,plain,
( ~ leq(X_434,addition(X_434,addition(X_168,A)))
| leq(X_434,addition(A,addition(X_434,X_168))) ),
inference(resolve,[$cnf( $equal(addition(X_434,addition(X_168,A)),addition(A,addition(X_434,X_168))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
leq(X_434,addition(A,addition(X_434,X_168))),
inference(resolve,[$cnf( leq(X_434,addition(X_434,addition(X_168,A))) )],[refute_0_17,refute_0_33]) ).
cnf(refute_0_35,plain,
leq(X_471,addition(X_469,addition(X_471,multiplication(domain(X_172),X_471)))),
inference(subst,[],[refute_0_34:[bind(A,$fot(X_469)),bind(X_168,$fot(multiplication(domain(X_172),X_471))),bind(X_434,$fot(X_471))]]) ).
cnf(refute_0_36,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_37,plain,
multiplication(addition(one,X_278),X_279) = addition(multiplication(one,X_279),multiplication(X_278,X_279)),
inference(subst,[],[refute_0_36:[bind(A,$fot(one)),bind(B,$fot(X_278)),bind(C,$fot(X_279))]]) ).
cnf(refute_0_38,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_39,plain,
multiplication(one,X_279) = X_279,
inference(subst,[],[refute_0_38:[bind(A,$fot(X_279))]]) ).
cnf(refute_0_40,plain,
( multiplication(addition(one,X_278),X_279) != addition(multiplication(one,X_279),multiplication(X_278,X_279))
| multiplication(one,X_279) != X_279
| multiplication(addition(one,X_278),X_279) = addition(X_279,multiplication(X_278,X_279)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,X_278),X_279),addition(multiplication(one,X_279),multiplication(X_278,X_279))) ),[1,0],$fot(X_279)]]) ).
cnf(refute_0_41,plain,
( multiplication(addition(one,X_278),X_279) != addition(multiplication(one,X_279),multiplication(X_278,X_279))
| multiplication(addition(one,X_278),X_279) = addition(X_279,multiplication(X_278,X_279)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_279),X_279) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
multiplication(addition(one,X_278),X_279) = addition(X_279,multiplication(X_278,X_279)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,X_278),X_279),addition(multiplication(one,X_279),multiplication(X_278,X_279))) )],[refute_0_37,refute_0_41]) ).
cnf(refute_0_43,plain,
multiplication(addition(one,domain(X_172)),X_298) = addition(X_298,multiplication(domain(X_172),X_298)),
inference(subst,[],[refute_0_42:[bind(X_278,$fot(domain(X_172))),bind(X_279,$fot(X_298))]]) ).
cnf(refute_0_44,plain,
addition(antidomain(X0),addition(domain(X0),X_169)) = addition(addition(antidomain(X0),domain(X0)),X_169),
inference(subst,[],[refute_0_4:[bind(A,$fot(antidomain(X0))),bind(B,$fot(domain(X0))),bind(C,$fot(X_169))]]) ).
cnf(refute_0_45,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_46,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_47,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_18,refute_0_46]) ).
cnf(refute_0_48,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(subst,[],[refute_0_47:[bind(A,$fot(antidomain(X0))),bind(B,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_49,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != addition(antidomain(X0),antidomain(antidomain(X0)))
| addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) ),[0],$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_50,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) )],[refute_0_45,refute_0_50]) ).
cnf(refute_0_52,plain,
domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_53,plain,
( domain(X0) != antidomain(antidomain(X0))
| antidomain(antidomain(X0)) = domain(X0) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(domain(X0))),bind(Y,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_54,plain,
antidomain(antidomain(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(domain(X0),antidomain(antidomain(X0))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(antidomain(X0))),
introduced(tautology,[refl,[$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_56,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_57,plain,
( antidomain(antidomain(X0)) != domain(X0)
| addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) ),[0],$fot(addition(antidomain(X0),domain(X0)))]]) ).
cnf(refute_0_60,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),domain(X0))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
addition(antidomain(X0),domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) )],[refute_0_51,refute_0_60]) ).
cnf(refute_0_62,plain,
( addition(antidomain(X0),addition(domain(X0),X_169)) != addition(addition(antidomain(X0),domain(X0)),X_169)
| addition(antidomain(X0),domain(X0)) != one
| addition(antidomain(X0),addition(domain(X0),X_169)) = addition(one,X_169) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),X_169)),addition(addition(antidomain(X0),domain(X0)),X_169)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_63,plain,
( addition(antidomain(X0),addition(domain(X0),X_169)) != addition(addition(antidomain(X0),domain(X0)),X_169)
| addition(antidomain(X0),addition(domain(X0),X_169)) = addition(one,X_169) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
addition(antidomain(X0),addition(domain(X0),X_169)) = addition(one,X_169),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),X_169)),addition(addition(antidomain(X0),domain(X0)),X_169)) )],[refute_0_44,refute_0_63]) ).
cnf(refute_0_65,plain,
addition(antidomain(X_172),addition(domain(X_172),domain(X_172))) = addition(one,domain(X_172)),
inference(subst,[],[refute_0_64:[bind(X0,$fot(X_172)),bind(X_169,$fot(domain(X_172)))]]) ).
cnf(refute_0_66,plain,
addition(domain(X_172),domain(X_172)) = domain(X_172),
inference(subst,[],[refute_0_6:[bind(A,$fot(domain(X_172)))]]) ).
cnf(refute_0_67,plain,
( addition(antidomain(X_172),addition(domain(X_172),domain(X_172))) != addition(one,domain(X_172))
| addition(domain(X_172),domain(X_172)) != domain(X_172)
| addition(antidomain(X_172),domain(X_172)) = addition(one,domain(X_172)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_172),addition(domain(X_172),domain(X_172))),addition(one,domain(X_172))) ),[0,1],$fot(domain(X_172))]]) ).
cnf(refute_0_68,plain,
( addition(antidomain(X_172),addition(domain(X_172),domain(X_172))) != addition(one,domain(X_172))
| addition(antidomain(X_172),domain(X_172)) = addition(one,domain(X_172)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_172),domain(X_172)),domain(X_172)) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
addition(antidomain(X_172),domain(X_172)) = addition(one,domain(X_172)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_172),addition(domain(X_172),domain(X_172))),addition(one,domain(X_172))) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
addition(antidomain(X_172),domain(X_172)) = one,
inference(subst,[],[refute_0_61:[bind(X0,$fot(X_172))]]) ).
cnf(refute_0_71,plain,
( addition(antidomain(X_172),domain(X_172)) != addition(one,domain(X_172))
| addition(antidomain(X_172),domain(X_172)) != one
| one = addition(one,domain(X_172)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_172),domain(X_172)),addition(one,domain(X_172))) ),[0],$fot(one)]]) ).
cnf(refute_0_72,plain,
( addition(antidomain(X_172),domain(X_172)) != addition(one,domain(X_172))
| one = addition(one,domain(X_172)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_172),domain(X_172)),one) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
one = addition(one,domain(X_172)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_172),domain(X_172)),addition(one,domain(X_172))) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
( one != addition(one,domain(X_172))
| addition(one,domain(X_172)) = one ),
inference(subst,[],[refute_0_23:[bind(X,$fot(one)),bind(Y,$fot(addition(one,domain(X_172))))]]) ).
cnf(refute_0_75,plain,
addition(one,domain(X_172)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,domain(X_172))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( addition(one,domain(X_172)) != one
| multiplication(addition(one,domain(X_172)),X_298) != addition(X_298,multiplication(domain(X_172),X_298))
| multiplication(one,X_298) = addition(X_298,multiplication(domain(X_172),X_298)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X_172)),X_298),addition(X_298,multiplication(domain(X_172),X_298))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_77,plain,
( multiplication(addition(one,domain(X_172)),X_298) != addition(X_298,multiplication(domain(X_172),X_298))
| multiplication(one,X_298) = addition(X_298,multiplication(domain(X_172),X_298)) ),
inference(resolve,[$cnf( $equal(addition(one,domain(X_172)),one) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
multiplication(one,X_298) = addition(X_298,multiplication(domain(X_172),X_298)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X_172)),X_298),addition(X_298,multiplication(domain(X_172),X_298))) )],[refute_0_43,refute_0_77]) ).
cnf(refute_0_79,plain,
multiplication(one,X_298) = X_298,
inference(subst,[],[refute_0_38:[bind(A,$fot(X_298))]]) ).
cnf(refute_0_80,plain,
( multiplication(one,X_298) != X_298
| multiplication(one,X_298) != addition(X_298,multiplication(domain(X_172),X_298))
| X_298 = addition(X_298,multiplication(domain(X_172),X_298)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_298),addition(X_298,multiplication(domain(X_172),X_298))) ),[0],$fot(X_298)]]) ).
cnf(refute_0_81,plain,
( multiplication(one,X_298) != addition(X_298,multiplication(domain(X_172),X_298))
| X_298 = addition(X_298,multiplication(domain(X_172),X_298)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_298),X_298) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
X_298 = addition(X_298,multiplication(domain(X_172),X_298)),
inference(resolve,[$cnf( $equal(multiplication(one,X_298),addition(X_298,multiplication(domain(X_172),X_298))) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
X_471 = addition(X_471,multiplication(domain(X_172),X_471)),
inference(subst,[],[refute_0_82:[bind(X_298,$fot(X_471))]]) ).
cnf(refute_0_84,plain,
( X_471 != addition(X_471,multiplication(domain(X_172),X_471))
| addition(X_471,multiplication(domain(X_172),X_471)) = X_471 ),
inference(subst,[],[refute_0_23:[bind(X,$fot(X_471)),bind(Y,$fot(addition(X_471,multiplication(domain(X_172),X_471))))]]) ).
cnf(refute_0_85,plain,
addition(X_471,multiplication(domain(X_172),X_471)) = X_471,
inference(resolve,[$cnf( $equal(X_471,addition(X_471,multiplication(domain(X_172),X_471))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
( addition(X_471,multiplication(domain(X_172),X_471)) != X_471
| ~ leq(X_471,addition(X_469,addition(X_471,multiplication(domain(X_172),X_471))))
| leq(X_471,addition(X_469,X_471)) ),
introduced(tautology,[equality,[$cnf( leq(X_471,addition(X_469,addition(X_471,multiplication(domain(X_172),X_471)))) ),[1,1],$fot(X_471)]]) ).
cnf(refute_0_87,plain,
( ~ leq(X_471,addition(X_469,addition(X_471,multiplication(domain(X_172),X_471))))
| leq(X_471,addition(X_469,X_471)) ),
inference(resolve,[$cnf( $equal(addition(X_471,multiplication(domain(X_172),X_471)),X_471) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
leq(X_471,addition(X_469,X_471)),
inference(resolve,[$cnf( leq(X_471,addition(X_469,addition(X_471,multiplication(domain(X_172),X_471)))) )],[refute_0_35,refute_0_87]) ).
cnf(refute_0_89,plain,
leq(multiplication(domain(X_172),X_472),addition(X_472,multiplication(domain(X_172),X_472))),
inference(subst,[],[refute_0_88:[bind(X_469,$fot(X_472)),bind(X_471,$fot(multiplication(domain(X_172),X_472)))]]) ).
cnf(refute_0_90,plain,
X_472 = addition(X_472,multiplication(domain(X_172),X_472)),
inference(subst,[],[refute_0_82:[bind(X_298,$fot(X_472))]]) ).
cnf(refute_0_91,plain,
( X_472 != addition(X_472,multiplication(domain(X_172),X_472))
| addition(X_472,multiplication(domain(X_172),X_472)) = X_472 ),
inference(subst,[],[refute_0_23:[bind(X,$fot(X_472)),bind(Y,$fot(addition(X_472,multiplication(domain(X_172),X_472))))]]) ).
cnf(refute_0_92,plain,
addition(X_472,multiplication(domain(X_172),X_472)) = X_472,
inference(resolve,[$cnf( $equal(X_472,addition(X_472,multiplication(domain(X_172),X_472))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
( addition(X_472,multiplication(domain(X_172),X_472)) != X_472
| ~ leq(multiplication(domain(X_172),X_472),addition(X_472,multiplication(domain(X_172),X_472)))
| leq(multiplication(domain(X_172),X_472),X_472) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(domain(X_172),X_472),addition(X_472,multiplication(domain(X_172),X_472))) ),[1],$fot(X_472)]]) ).
cnf(refute_0_94,plain,
( ~ leq(multiplication(domain(X_172),X_472),addition(X_472,multiplication(domain(X_172),X_472)))
| leq(multiplication(domain(X_172),X_472),X_472) ),
inference(resolve,[$cnf( $equal(addition(X_472,multiplication(domain(X_172),X_472)),X_472) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
leq(multiplication(domain(X_172),X_472),X_472),
inference(resolve,[$cnf( leq(multiplication(domain(X_172),X_472),addition(X_472,multiplication(domain(X_172),X_472))) )],[refute_0_89,refute_0_94]) ).
cnf(refute_0_96,plain,
leq(multiplication(domain(X_172),multiplication(antidomain(X_1573),X_1574)),multiplication(antidomain(X_1573),X_1574)),
inference(subst,[],[refute_0_95:[bind(X_472,$fot(multiplication(antidomain(X_1573),X_1574)))]]) ).
cnf(refute_0_97,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_98,plain,
multiplication(domain(X0),multiplication(antidomain(X1),X_108)) = multiplication(multiplication(domain(X0),antidomain(X1)),X_108),
inference(subst,[],[refute_0_97:[bind(A,$fot(domain(X0))),bind(B,$fot(antidomain(X1))),bind(C,$fot(X_108))]]) ).
cnf(refute_0_99,plain,
domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_100,plain,
( domain_difference(X0,X1) != multiplication(domain(X0),antidomain(X1))
| multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(domain_difference(X0,X1))),bind(Y,$fot(multiplication(domain(X0),antidomain(X1))))]]) ).
cnf(refute_0_101,plain,
multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1),
inference(resolve,[$cnf( $equal(domain_difference(X0,X1),multiplication(domain(X0),antidomain(X1))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
( multiplication(domain(X0),antidomain(X1)) != domain_difference(X0,X1)
| multiplication(domain(X0),multiplication(antidomain(X1),X_108)) != multiplication(multiplication(domain(X0),antidomain(X1)),X_108)
| multiplication(domain(X0),multiplication(antidomain(X1),X_108)) = multiplication(domain_difference(X0,X1),X_108) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X0),multiplication(antidomain(X1),X_108)),multiplication(multiplication(domain(X0),antidomain(X1)),X_108)) ),[1,0],$fot(domain_difference(X0,X1))]]) ).
cnf(refute_0_103,plain,
( multiplication(domain(X0),multiplication(antidomain(X1),X_108)) != multiplication(multiplication(domain(X0),antidomain(X1)),X_108)
| multiplication(domain(X0),multiplication(antidomain(X1),X_108)) = multiplication(domain_difference(X0,X1),X_108) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),antidomain(X1)),domain_difference(X0,X1)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
multiplication(domain(X0),multiplication(antidomain(X1),X_108)) = multiplication(domain_difference(X0,X1),X_108),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),multiplication(antidomain(X1),X_108)),multiplication(multiplication(domain(X0),antidomain(X1)),X_108)) )],[refute_0_98,refute_0_103]) ).
cnf(refute_0_105,plain,
multiplication(domain(X_172),multiplication(antidomain(X_1573),X_1574)) = multiplication(domain_difference(X_172,X_1573),X_1574),
inference(subst,[],[refute_0_104:[bind(X0,$fot(X_172)),bind(X1,$fot(X_1573)),bind(X_108,$fot(X_1574))]]) ).
cnf(refute_0_106,plain,
( multiplication(domain(X_172),multiplication(antidomain(X_1573),X_1574)) != multiplication(domain_difference(X_172,X_1573),X_1574)
| ~ leq(multiplication(domain(X_172),multiplication(antidomain(X_1573),X_1574)),multiplication(antidomain(X_1573),X_1574))
| leq(multiplication(domain_difference(X_172,X_1573),X_1574),multiplication(antidomain(X_1573),X_1574)) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(domain(X_172),multiplication(antidomain(X_1573),X_1574)),multiplication(antidomain(X_1573),X_1574)) ),[0],$fot(multiplication(domain_difference(X_172,X_1573),X_1574))]]) ).
cnf(refute_0_107,plain,
( ~ leq(multiplication(domain(X_172),multiplication(antidomain(X_1573),X_1574)),multiplication(antidomain(X_1573),X_1574))
| leq(multiplication(domain_difference(X_172,X_1573),X_1574),multiplication(antidomain(X_1573),X_1574)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_172),multiplication(antidomain(X_1573),X_1574)),multiplication(domain_difference(X_172,X_1573),X_1574)) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
leq(multiplication(domain_difference(X_172,X_1573),X_1574),multiplication(antidomain(X_1573),X_1574)),
inference(resolve,[$cnf( leq(multiplication(domain(X_172),multiplication(antidomain(X_1573),X_1574)),multiplication(antidomain(X_1573),X_1574)) )],[refute_0_96,refute_0_107]) ).
cnf(refute_0_109,plain,
leq(multiplication(domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),X_2196),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),X_2196)),
inference(subst,[],[refute_0_108:[bind(X_1573,$fot(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),bind(X_1574,$fot(X_2196)),bind(X_172,$fot(antidomain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_110,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_111,plain,
multiplication(antidomain(X_240),addition(X_240,X_241)) = addition(multiplication(antidomain(X_240),X_240),multiplication(antidomain(X_240),X_241)),
inference(subst,[],[refute_0_110:[bind(A,$fot(antidomain(X_240))),bind(B,$fot(X_240)),bind(C,$fot(X_241))]]) ).
cnf(refute_0_112,plain,
multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_113,plain,
multiplication(antidomain(X_240),X_240) = zero,
inference(subst,[],[refute_0_112:[bind(X0,$fot(X_240))]]) ).
cnf(refute_0_114,plain,
( multiplication(antidomain(X_240),X_240) != zero
| multiplication(antidomain(X_240),addition(X_240,X_241)) != addition(multiplication(antidomain(X_240),X_240),multiplication(antidomain(X_240),X_241))
| multiplication(antidomain(X_240),addition(X_240,X_241)) = addition(zero,multiplication(antidomain(X_240),X_241)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_240),addition(X_240,X_241)),addition(multiplication(antidomain(X_240),X_240),multiplication(antidomain(X_240),X_241))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_115,plain,
( multiplication(antidomain(X_240),addition(X_240,X_241)) != addition(multiplication(antidomain(X_240),X_240),multiplication(antidomain(X_240),X_241))
| multiplication(antidomain(X_240),addition(X_240,X_241)) = addition(zero,multiplication(antidomain(X_240),X_241)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_240),X_240),zero) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
multiplication(antidomain(X_240),addition(X_240,X_241)) = addition(zero,multiplication(antidomain(X_240),X_241)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_240),addition(X_240,X_241)),addition(multiplication(antidomain(X_240),X_240),multiplication(antidomain(X_240),X_241))) )],[refute_0_111,refute_0_115]) ).
cnf(refute_0_117,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_118,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_18:[bind(B,$fot(zero))]]) ).
cnf(refute_0_119,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_120,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
addition(zero,multiplication(antidomain(X_240),X_241)) = multiplication(antidomain(X_240),X_241),
inference(subst,[],[refute_0_121:[bind(A,$fot(multiplication(antidomain(X_240),X_241)))]]) ).
cnf(refute_0_123,plain,
( addition(zero,multiplication(antidomain(X_240),X_241)) != multiplication(antidomain(X_240),X_241)
| multiplication(antidomain(X_240),addition(X_240,X_241)) != addition(zero,multiplication(antidomain(X_240),X_241))
| multiplication(antidomain(X_240),addition(X_240,X_241)) = multiplication(antidomain(X_240),X_241) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_240),addition(X_240,X_241)),addition(zero,multiplication(antidomain(X_240),X_241))) ),[1],$fot(multiplication(antidomain(X_240),X_241))]]) ).
cnf(refute_0_124,plain,
( multiplication(antidomain(X_240),addition(X_240,X_241)) != addition(zero,multiplication(antidomain(X_240),X_241))
| multiplication(antidomain(X_240),addition(X_240,X_241)) = multiplication(antidomain(X_240),X_241) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(antidomain(X_240),X_241)),multiplication(antidomain(X_240),X_241)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
multiplication(antidomain(X_240),addition(X_240,X_241)) = multiplication(antidomain(X_240),X_241),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_240),addition(X_240,X_241)),addition(zero,multiplication(antidomain(X_240),X_241))) )],[refute_0_116,refute_0_124]) ).
cnf(refute_0_126,plain,
multiplication(antidomain(domain(skolemFOFtoCNF_X2)),addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_125:[bind(X_240,$fot(domain(skolemFOFtoCNF_X2))),bind(X_241,$fot(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_127,plain,
addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)) = addition(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),X_169),
inference(subst,[],[refute_0_4:[bind(A,$fot(domain(skolemFOFtoCNF_X2))),bind(B,$fot(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))),bind(C,$fot(X_169))]]) ).
cnf(refute_0_128,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) = domain(skolemFOFtoCNF_X2),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_129,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) = addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_47:[bind(A,$fot(domain(skolemFOFtoCNF_X2))),bind(B,$fot(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_130,plain,
( addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) != addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) != domain(skolemFOFtoCNF_X2)
| addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = domain(skolemFOFtoCNF_X2) ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)),domain(skolemFOFtoCNF_X2)) ),[0],$fot(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_131,plain,
( addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) != domain(skolemFOFtoCNF_X2)
| addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = domain(skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)),addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = domain(skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)),domain(skolemFOFtoCNF_X2)) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
( addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)) != addition(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),X_169)
| addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) != domain(skolemFOFtoCNF_X2)
| addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)) = addition(domain(skolemFOFtoCNF_X2),X_169) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)),addition(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),X_169)) ),[1,0],$fot(domain(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_134,plain,
( addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)) != addition(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),X_169)
| addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)) = addition(domain(skolemFOFtoCNF_X2),X_169) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),domain(skolemFOFtoCNF_X2)) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)) = addition(domain(skolemFOFtoCNF_X2),X_169),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)),addition(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),X_169)) )],[refute_0_127,refute_0_134]) ).
cnf(refute_0_136,plain,
forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_137,plain,
forward_diamond(X0,domain(X_286)) = domain(multiplication(X0,domain(domain(X_286)))),
inference(subst,[],[refute_0_136:[bind(X1,$fot(domain(X_286)))]]) ).
cnf(refute_0_138,plain,
domain(domain(X0)) = antidomain(antidomain(domain(X0))),
inference(subst,[],[refute_0_52:[bind(X0,$fot(domain(X0)))]]) ).
cnf(refute_0_139,plain,
c(X0) = antidomain(domain(X0)),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_140,plain,
( c(X0) != antidomain(domain(X0))
| antidomain(domain(X0)) = c(X0) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(c(X0))),bind(Y,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_141,plain,
antidomain(domain(X0)) = c(X0),
inference(resolve,[$cnf( $equal(c(X0),antidomain(domain(X0))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
( antidomain(domain(X0)) != c(X0)
| domain(domain(X0)) != antidomain(antidomain(domain(X0)))
| domain(domain(X0)) = antidomain(c(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X0)),antidomain(antidomain(domain(X0)))) ),[1,0],$fot(c(X0))]]) ).
cnf(refute_0_143,plain,
( domain(domain(X0)) != antidomain(antidomain(domain(X0)))
| domain(domain(X0)) = antidomain(c(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
domain(domain(X0)) = antidomain(c(X0)),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(antidomain(domain(X0)))) )],[refute_0_138,refute_0_143]) ).
cnf(refute_0_145,plain,
multiplication(X_239,addition(one,X_241)) = addition(multiplication(X_239,one),multiplication(X_239,X_241)),
inference(subst,[],[refute_0_110:[bind(A,$fot(X_239)),bind(B,$fot(one)),bind(C,$fot(X_241))]]) ).
cnf(refute_0_146,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_147,plain,
multiplication(X_239,one) = X_239,
inference(subst,[],[refute_0_146:[bind(A,$fot(X_239))]]) ).
cnf(refute_0_148,plain,
( multiplication(X_239,addition(one,X_241)) != addition(multiplication(X_239,one),multiplication(X_239,X_241))
| multiplication(X_239,one) != X_239
| multiplication(X_239,addition(one,X_241)) = addition(X_239,multiplication(X_239,X_241)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_239,addition(one,X_241)),addition(multiplication(X_239,one),multiplication(X_239,X_241))) ),[1,0],$fot(X_239)]]) ).
cnf(refute_0_149,plain,
( multiplication(X_239,addition(one,X_241)) != addition(multiplication(X_239,one),multiplication(X_239,X_241))
| multiplication(X_239,addition(one,X_241)) = addition(X_239,multiplication(X_239,X_241)) ),
inference(resolve,[$cnf( $equal(multiplication(X_239,one),X_239) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
multiplication(X_239,addition(one,X_241)) = addition(X_239,multiplication(X_239,X_241)),
inference(resolve,[$cnf( $equal(multiplication(X_239,addition(one,X_241)),addition(multiplication(X_239,one),multiplication(X_239,X_241))) )],[refute_0_145,refute_0_149]) ).
cnf(refute_0_151,plain,
multiplication(antidomain(X_284),addition(one,c(X_284))) = addition(antidomain(X_284),multiplication(antidomain(X_284),c(X_284))),
inference(subst,[],[refute_0_150:[bind(X_239,$fot(antidomain(X_284))),bind(X_241,$fot(c(X_284)))]]) ).
cnf(refute_0_152,plain,
multiplication(addition(X_277,antidomain(X_279)),X_279) = addition(multiplication(X_277,X_279),multiplication(antidomain(X_279),X_279)),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_277)),bind(B,$fot(antidomain(X_279))),bind(C,$fot(X_279))]]) ).
cnf(refute_0_153,plain,
multiplication(antidomain(X_279),X_279) = zero,
inference(subst,[],[refute_0_112:[bind(X0,$fot(X_279))]]) ).
cnf(refute_0_154,plain,
( multiplication(addition(X_277,antidomain(X_279)),X_279) != addition(multiplication(X_277,X_279),multiplication(antidomain(X_279),X_279))
| multiplication(antidomain(X_279),X_279) != zero
| multiplication(addition(X_277,antidomain(X_279)),X_279) = addition(multiplication(X_277,X_279),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_277,antidomain(X_279)),X_279),addition(multiplication(X_277,X_279),multiplication(antidomain(X_279),X_279))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_155,plain,
( multiplication(addition(X_277,antidomain(X_279)),X_279) != addition(multiplication(X_277,X_279),multiplication(antidomain(X_279),X_279))
| multiplication(addition(X_277,antidomain(X_279)),X_279) = addition(multiplication(X_277,X_279),zero) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_279),X_279),zero) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
multiplication(addition(X_277,antidomain(X_279)),X_279) = addition(multiplication(X_277,X_279),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(X_277,antidomain(X_279)),X_279),addition(multiplication(X_277,X_279),multiplication(antidomain(X_279),X_279))) )],[refute_0_152,refute_0_155]) ).
cnf(refute_0_157,plain,
addition(multiplication(X_277,X_279),zero) = multiplication(X_277,X_279),
inference(subst,[],[refute_0_117:[bind(A,$fot(multiplication(X_277,X_279)))]]) ).
cnf(refute_0_158,plain,
( addition(multiplication(X_277,X_279),zero) != multiplication(X_277,X_279)
| multiplication(addition(X_277,antidomain(X_279)),X_279) != addition(multiplication(X_277,X_279),zero)
| multiplication(addition(X_277,antidomain(X_279)),X_279) = multiplication(X_277,X_279) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_277,antidomain(X_279)),X_279),addition(multiplication(X_277,X_279),zero)) ),[1],$fot(multiplication(X_277,X_279))]]) ).
cnf(refute_0_159,plain,
( multiplication(addition(X_277,antidomain(X_279)),X_279) != addition(multiplication(X_277,X_279),zero)
| multiplication(addition(X_277,antidomain(X_279)),X_279) = multiplication(X_277,X_279) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_277,X_279),zero),multiplication(X_277,X_279)) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
multiplication(addition(X_277,antidomain(X_279)),X_279) = multiplication(X_277,X_279),
inference(resolve,[$cnf( $equal(multiplication(addition(X_277,antidomain(X_279)),X_279),addition(multiplication(X_277,X_279),zero)) )],[refute_0_156,refute_0_159]) ).
cnf(refute_0_161,plain,
multiplication(addition(antidomain(X_172),antidomain(c(X_172))),c(X_172)) = multiplication(antidomain(X_172),c(X_172)),
inference(subst,[],[refute_0_160:[bind(X_277,$fot(antidomain(X_172))),bind(X_279,$fot(c(X_172)))]]) ).
cnf(refute_0_162,plain,
addition(antidomain(X_172),addition(domain(X_172),antidomain(c(X_172)))) = addition(one,antidomain(c(X_172))),
inference(subst,[],[refute_0_64:[bind(X0,$fot(X_172)),bind(X_169,$fot(antidomain(c(X_172))))]]) ).
cnf(refute_0_163,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_164,plain,
antidomain(antidomain(X1)) = domain(X1),
inference(subst,[],[refute_0_54:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_165,plain,
multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,antidomain(antidomain(X1))),
introduced(tautology,[refl,[$fot(multiplication(X0,antidomain(antidomain(X1))))]]) ).
cnf(refute_0_166,plain,
( antidomain(antidomain(X1)) != domain(X1)
| multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,antidomain(antidomain(X1)))
| multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) ),[1,1],$fot(domain(X1))]]) ).
cnf(refute_0_167,plain,
( antidomain(antidomain(X1)) != domain(X1)
| multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X1)),domain(X1)) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(X0,antidomain(antidomain(X1)))))]]) ).
cnf(refute_0_170,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_171,plain,
( multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,domain(X1))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,domain(X1))) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
introduced(tautology,[refl,[$fot(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))))]]) ).
cnf(refute_0_174,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_175,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( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ),
introduced(tautology,[equality,[$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_178,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( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
introduced(tautology,[equality,[$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_180,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( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_172,refute_0_179]) ).
cnf(refute_0_181,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_178,refute_0_180]) ).
cnf(refute_0_182,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_163,refute_0_181]) ).
cnf(refute_0_183,plain,
addition(antidomain(multiplication(one,X_60)),antidomain(multiplication(one,domain(X_60)))) = antidomain(multiplication(one,domain(X_60))),
inference(subst,[],[refute_0_182:[bind(X0,$fot(one)),bind(X1,$fot(X_60))]]) ).
cnf(refute_0_184,plain,
multiplication(one,domain(X_60)) = domain(X_60),
inference(subst,[],[refute_0_38:[bind(A,$fot(domain(X_60)))]]) ).
cnf(refute_0_185,plain,
( addition(antidomain(multiplication(one,X_60)),antidomain(multiplication(one,domain(X_60)))) != antidomain(multiplication(one,domain(X_60)))
| multiplication(one,domain(X_60)) != domain(X_60)
| addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))) = antidomain(multiplication(one,domain(X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(one,X_60)),antidomain(multiplication(one,domain(X_60)))),antidomain(multiplication(one,domain(X_60)))) ),[0,1,0],$fot(domain(X_60))]]) ).
cnf(refute_0_186,plain,
( addition(antidomain(multiplication(one,X_60)),antidomain(multiplication(one,domain(X_60)))) != antidomain(multiplication(one,domain(X_60)))
| addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))) = antidomain(multiplication(one,domain(X_60))) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_60)),domain(X_60)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))) = antidomain(multiplication(one,domain(X_60))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_60)),antidomain(multiplication(one,domain(X_60)))),antidomain(multiplication(one,domain(X_60)))) )],[refute_0_183,refute_0_186]) ).
cnf(refute_0_188,plain,
addition(c(X_60),antidomain(X_60)) = addition(antidomain(X_60),c(X_60)),
inference(subst,[],[refute_0_47:[bind(A,$fot(antidomain(X_60))),bind(B,$fot(c(X_60)))]]) ).
cnf(refute_0_189,plain,
multiplication(one,X_60) = X_60,
inference(subst,[],[refute_0_38:[bind(A,$fot(X_60))]]) ).
cnf(refute_0_190,plain,
antidomain(multiplication(one,X_60)) = antidomain(multiplication(one,X_60)),
introduced(tautology,[refl,[$fot(antidomain(multiplication(one,X_60)))]]) ).
cnf(refute_0_191,plain,
( antidomain(multiplication(one,X_60)) != antidomain(multiplication(one,X_60))
| multiplication(one,X_60) != X_60
| antidomain(multiplication(one,X_60)) = antidomain(X_60) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(one,X_60)),antidomain(multiplication(one,X_60))) ),[1,0],$fot(X_60)]]) ).
cnf(refute_0_192,plain,
( multiplication(one,X_60) != X_60
| antidomain(multiplication(one,X_60)) = antidomain(X_60) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,X_60)),antidomain(multiplication(one,X_60))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
antidomain(multiplication(one,X_60)) = antidomain(X_60),
inference(resolve,[$cnf( $equal(multiplication(one,X_60),X_60) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
addition(c(X_60),antidomain(multiplication(one,X_60))) = addition(c(X_60),antidomain(multiplication(one,X_60))),
introduced(tautology,[refl,[$fot(addition(c(X_60),antidomain(multiplication(one,X_60))))]]) ).
cnf(refute_0_195,plain,
( addition(c(X_60),antidomain(multiplication(one,X_60))) != addition(c(X_60),antidomain(multiplication(one,X_60)))
| antidomain(multiplication(one,X_60)) != antidomain(X_60)
| addition(c(X_60),antidomain(multiplication(one,X_60))) = addition(c(X_60),antidomain(X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_60),antidomain(multiplication(one,X_60))),addition(c(X_60),antidomain(multiplication(one,X_60)))) ),[1,1],$fot(antidomain(X_60))]]) ).
cnf(refute_0_196,plain,
( antidomain(multiplication(one,X_60)) != antidomain(X_60)
| addition(c(X_60),antidomain(multiplication(one,X_60))) = addition(c(X_60),antidomain(X_60)) ),
inference(resolve,[$cnf( $equal(addition(c(X_60),antidomain(multiplication(one,X_60))),addition(c(X_60),antidomain(multiplication(one,X_60)))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
addition(c(X_60),antidomain(multiplication(one,X_60))) = addition(c(X_60),antidomain(X_60)),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,X_60)),antidomain(X_60)) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
antidomain(domain(X_60)) = c(X_60),
inference(subst,[],[refute_0_141:[bind(X0,$fot(X_60))]]) ).
cnf(refute_0_199,plain,
addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))) = addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))),
introduced(tautology,[refl,[$fot(addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))))]]) ).
cnf(refute_0_200,plain,
( addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))) != addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60)))
| antidomain(domain(X_60)) != c(X_60)
| addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))) = addition(c(X_60),antidomain(multiplication(one,X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))),addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60)))) ),[1,0],$fot(c(X_60))]]) ).
cnf(refute_0_201,plain,
( antidomain(domain(X_60)) != c(X_60)
| addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))) = addition(c(X_60),antidomain(multiplication(one,X_60))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))),addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60)))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))) = addition(c(X_60),antidomain(multiplication(one,X_60))),
inference(resolve,[$cnf( $equal(antidomain(domain(X_60)),c(X_60)) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_204,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_23,refute_0_203]) ).
cnf(refute_0_205,plain,
( addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))) != addition(c(X_60),antidomain(multiplication(one,X_60)))
| addition(c(X_60),antidomain(multiplication(one,X_60))) != addition(c(X_60),antidomain(X_60))
| addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))) = addition(c(X_60),antidomain(X_60)) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))))),bind(Y,$fot(addition(c(X_60),antidomain(multiplication(one,X_60))))),bind(Z,$fot(addition(c(X_60),antidomain(X_60))))]]) ).
cnf(refute_0_206,plain,
( addition(c(X_60),antidomain(multiplication(one,X_60))) != addition(c(X_60),antidomain(X_60))
| addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))) = addition(c(X_60),antidomain(X_60)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))),addition(c(X_60),antidomain(multiplication(one,X_60)))) )],[refute_0_202,refute_0_205]) ).
cnf(refute_0_207,plain,
addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))) = addition(c(X_60),antidomain(X_60)),
inference(resolve,[$cnf( $equal(addition(c(X_60),antidomain(multiplication(one,X_60))),addition(c(X_60),antidomain(X_60))) )],[refute_0_197,refute_0_206]) ).
cnf(refute_0_208,plain,
( addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))) != addition(c(X_60),antidomain(X_60))
| addition(c(X_60),antidomain(X_60)) != addition(antidomain(X_60),c(X_60))
| addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))) = addition(antidomain(X_60),c(X_60)) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))))),bind(Y,$fot(addition(c(X_60),antidomain(X_60)))),bind(Z,$fot(addition(antidomain(X_60),c(X_60))))]]) ).
cnf(refute_0_209,plain,
( addition(c(X_60),antidomain(X_60)) != addition(antidomain(X_60),c(X_60))
| addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))) = addition(antidomain(X_60),c(X_60)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))),addition(c(X_60),antidomain(X_60))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))) = addition(antidomain(X_60),c(X_60)),
inference(resolve,[$cnf( $equal(addition(c(X_60),antidomain(X_60)),addition(antidomain(X_60),c(X_60))) )],[refute_0_188,refute_0_209]) ).
cnf(refute_0_211,plain,
addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))) = addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))),
inference(subst,[],[refute_0_47:[bind(A,$fot(antidomain(domain(X_60)))),bind(B,$fot(antidomain(multiplication(one,X_60))))]]) ).
cnf(refute_0_212,plain,
( addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))) != addition(antidomain(X_60),c(X_60))
| addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))) != addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60)))
| addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))) = addition(antidomain(X_60),c(X_60)) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))))),bind(Y,$fot(addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))))),bind(Z,$fot(addition(antidomain(X_60),c(X_60))))]]) ).
cnf(refute_0_213,plain,
( addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))) != addition(antidomain(X_60),c(X_60))
| addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))) = addition(antidomain(X_60),c(X_60)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))),addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60)))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))) = addition(antidomain(X_60),c(X_60)),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_60)),antidomain(multiplication(one,X_60))),addition(antidomain(X_60),c(X_60))) )],[refute_0_210,refute_0_213]) ).
cnf(refute_0_215,plain,
( addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))) != addition(antidomain(X_60),c(X_60))
| addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))) != antidomain(multiplication(one,domain(X_60)))
| addition(antidomain(X_60),c(X_60)) = antidomain(multiplication(one,domain(X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))),antidomain(multiplication(one,domain(X_60)))) ),[0],$fot(addition(antidomain(X_60),c(X_60)))]]) ).
cnf(refute_0_216,plain,
( addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))) != antidomain(multiplication(one,domain(X_60)))
| addition(antidomain(X_60),c(X_60)) = antidomain(multiplication(one,domain(X_60))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))),addition(antidomain(X_60),c(X_60))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
antidomain(multiplication(one,domain(X_60))) = antidomain(multiplication(one,domain(X_60))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(one,domain(X_60))))]]) ).
cnf(refute_0_218,plain,
( antidomain(multiplication(one,domain(X_60))) != antidomain(multiplication(one,domain(X_60)))
| multiplication(one,domain(X_60)) != domain(X_60)
| antidomain(multiplication(one,domain(X_60))) = antidomain(domain(X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(one,domain(X_60))),antidomain(multiplication(one,domain(X_60)))) ),[1,0],$fot(domain(X_60))]]) ).
cnf(refute_0_219,plain,
( multiplication(one,domain(X_60)) != domain(X_60)
| antidomain(multiplication(one,domain(X_60))) = antidomain(domain(X_60)) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,domain(X_60))),antidomain(multiplication(one,domain(X_60)))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
antidomain(multiplication(one,domain(X_60))) = antidomain(domain(X_60)),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_60)),domain(X_60)) )],[refute_0_184,refute_0_219]) ).
cnf(refute_0_221,plain,
( antidomain(domain(X_60)) != c(X_60)
| antidomain(multiplication(one,domain(X_60))) != antidomain(domain(X_60))
| antidomain(multiplication(one,domain(X_60))) = c(X_60) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(antidomain(multiplication(one,domain(X_60))))),bind(Y,$fot(antidomain(domain(X_60)))),bind(Z,$fot(c(X_60)))]]) ).
cnf(refute_0_222,plain,
( antidomain(domain(X_60)) != c(X_60)
| antidomain(multiplication(one,domain(X_60))) = c(X_60) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,domain(X_60))),antidomain(domain(X_60))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
antidomain(multiplication(one,domain(X_60))) = c(X_60),
inference(resolve,[$cnf( $equal(antidomain(domain(X_60)),c(X_60)) )],[refute_0_198,refute_0_222]) ).
cnf(refute_0_224,plain,
( addition(antidomain(X_60),c(X_60)) != antidomain(multiplication(one,domain(X_60)))
| antidomain(multiplication(one,domain(X_60))) != c(X_60)
| addition(antidomain(X_60),c(X_60)) = c(X_60) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(X_60),c(X_60)),c(X_60)) ),[0],$fot(antidomain(multiplication(one,domain(X_60))))]]) ).
cnf(refute_0_225,plain,
( addition(antidomain(X_60),c(X_60)) != antidomain(multiplication(one,domain(X_60)))
| addition(antidomain(X_60),c(X_60)) = c(X_60) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,domain(X_60))),c(X_60)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
( addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))) != antidomain(multiplication(one,domain(X_60)))
| addition(antidomain(X_60),c(X_60)) = c(X_60) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_60),c(X_60)),antidomain(multiplication(one,domain(X_60)))) )],[refute_0_216,refute_0_225]) ).
cnf(refute_0_227,plain,
addition(antidomain(X_60),c(X_60)) = c(X_60),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_60)),antidomain(domain(X_60))),antidomain(multiplication(one,domain(X_60)))) )],[refute_0_187,refute_0_226]) ).
cnf(refute_0_228,plain,
addition(antidomain(antidomain(X_16)),c(antidomain(X_16))) = c(antidomain(X_16)),
inference(subst,[],[refute_0_227:[bind(X_60,$fot(antidomain(X_16)))]]) ).
cnf(refute_0_229,plain,
c(antidomain(X_16)) = antidomain(domain(antidomain(X_16))),
inference(subst,[],[refute_0_139:[bind(X0,$fot(antidomain(X_16)))]]) ).
cnf(refute_0_230,plain,
domain(antidomain(X_8)) = antidomain(antidomain(antidomain(X_8))),
inference(subst,[],[refute_0_52:[bind(X0,$fot(antidomain(X_8)))]]) ).
cnf(refute_0_231,plain,
domain(X_8) = antidomain(antidomain(X_8)),
inference(subst,[],[refute_0_52:[bind(X0,$fot(X_8))]]) ).
cnf(refute_0_232,plain,
( domain(X_8) != antidomain(antidomain(X_8))
| antidomain(antidomain(X_8)) = domain(X_8) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(domain(X_8))),bind(Y,$fot(antidomain(antidomain(X_8))))]]) ).
cnf(refute_0_233,plain,
antidomain(antidomain(X_8)) = domain(X_8),
inference(resolve,[$cnf( $equal(domain(X_8),antidomain(antidomain(X_8))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
( antidomain(antidomain(X_8)) != domain(X_8)
| domain(antidomain(X_8)) != antidomain(antidomain(antidomain(X_8)))
| domain(antidomain(X_8)) = antidomain(domain(X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_8)),antidomain(antidomain(antidomain(X_8)))) ),[1,0],$fot(domain(X_8))]]) ).
cnf(refute_0_235,plain,
( domain(antidomain(X_8)) != antidomain(antidomain(antidomain(X_8)))
| domain(antidomain(X_8)) = antidomain(domain(X_8)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_8)),domain(X_8)) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
domain(antidomain(X_8)) = antidomain(domain(X_8)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_8)),antidomain(antidomain(antidomain(X_8)))) )],[refute_0_230,refute_0_235]) ).
cnf(refute_0_237,plain,
antidomain(domain(X_8)) = c(X_8),
inference(subst,[],[refute_0_141:[bind(X0,$fot(X_8))]]) ).
cnf(refute_0_238,plain,
( antidomain(domain(X_8)) != c(X_8)
| domain(antidomain(X_8)) != antidomain(domain(X_8))
| domain(antidomain(X_8)) = c(X_8) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_8)),antidomain(domain(X_8))) ),[1],$fot(c(X_8))]]) ).
cnf(refute_0_239,plain,
( domain(antidomain(X_8)) != antidomain(domain(X_8))
| domain(antidomain(X_8)) = c(X_8) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_8)),c(X_8)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
domain(antidomain(X_8)) = c(X_8),
inference(resolve,[$cnf( $equal(domain(antidomain(X_8)),antidomain(domain(X_8))) )],[refute_0_236,refute_0_239]) ).
cnf(refute_0_241,plain,
domain(antidomain(X_16)) = c(X_16),
inference(subst,[],[refute_0_240:[bind(X_8,$fot(X_16))]]) ).
cnf(refute_0_242,plain,
( c(antidomain(X_16)) != antidomain(domain(antidomain(X_16)))
| domain(antidomain(X_16)) != c(X_16)
| c(antidomain(X_16)) = antidomain(c(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(c(antidomain(X_16)),antidomain(domain(antidomain(X_16)))) ),[1,0],$fot(c(X_16))]]) ).
cnf(refute_0_243,plain,
( c(antidomain(X_16)) != antidomain(domain(antidomain(X_16)))
| c(antidomain(X_16)) = antidomain(c(X_16)) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_16)),c(X_16)) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
c(antidomain(X_16)) = antidomain(c(X_16)),
inference(resolve,[$cnf( $equal(c(antidomain(X_16)),antidomain(domain(antidomain(X_16)))) )],[refute_0_229,refute_0_243]) ).
cnf(refute_0_245,plain,
( addition(antidomain(antidomain(X_16)),c(antidomain(X_16))) != c(antidomain(X_16))
| c(antidomain(X_16)) != antidomain(c(X_16))
| addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) = c(antidomain(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_16)),c(antidomain(X_16))),c(antidomain(X_16))) ),[0,1],$fot(antidomain(c(X_16)))]]) ).
cnf(refute_0_246,plain,
( addition(antidomain(antidomain(X_16)),c(antidomain(X_16))) != c(antidomain(X_16))
| addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) = c(antidomain(X_16)) ),
inference(resolve,[$cnf( $equal(c(antidomain(X_16)),antidomain(c(X_16))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) = c(antidomain(X_16)),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_16)),c(antidomain(X_16))),c(antidomain(X_16))) )],[refute_0_228,refute_0_246]) ).
cnf(refute_0_248,plain,
antidomain(antidomain(X_16)) = domain(X_16),
inference(subst,[],[refute_0_54:[bind(X0,$fot(X_16))]]) ).
cnf(refute_0_249,plain,
addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) = addition(antidomain(antidomain(X_16)),antidomain(c(X_16))),
introduced(tautology,[refl,[$fot(addition(antidomain(antidomain(X_16)),antidomain(c(X_16))))]]) ).
cnf(refute_0_250,plain,
( addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) != addition(antidomain(antidomain(X_16)),antidomain(c(X_16)))
| antidomain(antidomain(X_16)) != domain(X_16)
| addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) = addition(domain(X_16),antidomain(c(X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(c(X_16))),addition(antidomain(antidomain(X_16)),antidomain(c(X_16)))) ),[1,0],$fot(domain(X_16))]]) ).
cnf(refute_0_251,plain,
( antidomain(antidomain(X_16)) != domain(X_16)
| addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) = addition(domain(X_16),antidomain(c(X_16))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(c(X_16))),addition(antidomain(antidomain(X_16)),antidomain(c(X_16)))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) = addition(domain(X_16),antidomain(c(X_16))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_16)),domain(X_16)) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
( addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) != addition(domain(X_16),antidomain(c(X_16)))
| addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) != c(antidomain(X_16))
| addition(domain(X_16),antidomain(c(X_16))) = c(antidomain(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(c(X_16))),c(antidomain(X_16))) ),[0],$fot(addition(domain(X_16),antidomain(c(X_16))))]]) ).
cnf(refute_0_254,plain,
( addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) != c(antidomain(X_16))
| addition(domain(X_16),antidomain(c(X_16))) = c(antidomain(X_16)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(c(X_16))),addition(domain(X_16),antidomain(c(X_16)))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
( addition(domain(X_16),antidomain(c(X_16))) != c(antidomain(X_16))
| c(antidomain(X_16)) != antidomain(c(X_16))
| addition(domain(X_16),antidomain(c(X_16))) = antidomain(c(X_16)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(domain(X_16),antidomain(c(X_16))),antidomain(c(X_16))) ),[0],$fot(c(antidomain(X_16)))]]) ).
cnf(refute_0_256,plain,
( addition(domain(X_16),antidomain(c(X_16))) != c(antidomain(X_16))
| addition(domain(X_16),antidomain(c(X_16))) = antidomain(c(X_16)) ),
inference(resolve,[$cnf( $equal(c(antidomain(X_16)),antidomain(c(X_16))) )],[refute_0_244,refute_0_255]) ).
cnf(refute_0_257,plain,
( addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) != c(antidomain(X_16))
| addition(domain(X_16),antidomain(c(X_16))) = antidomain(c(X_16)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_16),antidomain(c(X_16))),c(antidomain(X_16))) )],[refute_0_254,refute_0_256]) ).
cnf(refute_0_258,plain,
addition(domain(X_16),antidomain(c(X_16))) = antidomain(c(X_16)),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(c(X_16))),c(antidomain(X_16))) )],[refute_0_247,refute_0_257]) ).
cnf(refute_0_259,plain,
addition(domain(X_172),antidomain(c(X_172))) = antidomain(c(X_172)),
inference(subst,[],[refute_0_258:[bind(X_16,$fot(X_172))]]) ).
cnf(refute_0_260,plain,
( addition(antidomain(X_172),addition(domain(X_172),antidomain(c(X_172)))) != addition(one,antidomain(c(X_172)))
| addition(domain(X_172),antidomain(c(X_172))) != antidomain(c(X_172))
| addition(antidomain(X_172),antidomain(c(X_172))) = addition(one,antidomain(c(X_172))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_172),addition(domain(X_172),antidomain(c(X_172)))),addition(one,antidomain(c(X_172)))) ),[0,1],$fot(antidomain(c(X_172)))]]) ).
cnf(refute_0_261,plain,
( addition(antidomain(X_172),addition(domain(X_172),antidomain(c(X_172)))) != addition(one,antidomain(c(X_172)))
| addition(antidomain(X_172),antidomain(c(X_172))) = addition(one,antidomain(c(X_172))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_172),antidomain(c(X_172))),antidomain(c(X_172))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
addition(antidomain(X_172),antidomain(c(X_172))) = addition(one,antidomain(c(X_172))),
inference(resolve,[$cnf( $equal(addition(antidomain(X_172),addition(domain(X_172),antidomain(c(X_172)))),addition(one,antidomain(c(X_172)))) )],[refute_0_162,refute_0_261]) ).
cnf(refute_0_263,plain,
one = addition(one,domain(domain(X0))),
inference(subst,[],[refute_0_73:[bind(X_172,$fot(domain(X0)))]]) ).
cnf(refute_0_264,plain,
( domain(domain(X0)) != antidomain(c(X0))
| one != addition(one,domain(domain(X0)))
| one = addition(one,antidomain(c(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,domain(domain(X0)))) ),[1,1],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_265,plain,
( one != addition(one,domain(domain(X0)))
| one = addition(one,antidomain(c(X0))) ),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_144,refute_0_264]) ).
cnf(refute_0_266,plain,
one = addition(one,antidomain(c(X0))),
inference(resolve,[$cnf( $equal(one,addition(one,domain(domain(X0)))) )],[refute_0_263,refute_0_265]) ).
cnf(refute_0_267,plain,
( one != addition(one,antidomain(c(X0)))
| addition(one,antidomain(c(X0))) = one ),
inference(subst,[],[refute_0_23:[bind(X,$fot(one)),bind(Y,$fot(addition(one,antidomain(c(X0)))))]]) ).
cnf(refute_0_268,plain,
addition(one,antidomain(c(X0))) = one,
inference(resolve,[$cnf( $equal(one,addition(one,antidomain(c(X0)))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
addition(one,antidomain(c(X_172))) = one,
inference(subst,[],[refute_0_268:[bind(X0,$fot(X_172))]]) ).
cnf(refute_0_270,plain,
( addition(antidomain(X_172),antidomain(c(X_172))) != addition(one,antidomain(c(X_172)))
| addition(one,antidomain(c(X_172))) != one
| addition(antidomain(X_172),antidomain(c(X_172))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(X_172),antidomain(c(X_172))),one) ),[0],$fot(addition(one,antidomain(c(X_172))))]]) ).
cnf(refute_0_271,plain,
( addition(antidomain(X_172),antidomain(c(X_172))) != addition(one,antidomain(c(X_172)))
| addition(antidomain(X_172),antidomain(c(X_172))) = one ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(c(X_172))),one) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
addition(antidomain(X_172),antidomain(c(X_172))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X_172),antidomain(c(X_172))),addition(one,antidomain(c(X_172)))) )],[refute_0_262,refute_0_271]) ).
cnf(refute_0_273,plain,
( addition(antidomain(X_172),antidomain(c(X_172))) != one
| multiplication(addition(antidomain(X_172),antidomain(c(X_172))),c(X_172)) != multiplication(antidomain(X_172),c(X_172))
| multiplication(one,c(X_172)) = multiplication(antidomain(X_172),c(X_172)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(X_172),antidomain(c(X_172))),c(X_172)),multiplication(antidomain(X_172),c(X_172))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_274,plain,
( multiplication(addition(antidomain(X_172),antidomain(c(X_172))),c(X_172)) != multiplication(antidomain(X_172),c(X_172))
| multiplication(one,c(X_172)) = multiplication(antidomain(X_172),c(X_172)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_172),antidomain(c(X_172))),one) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
multiplication(one,c(X_172)) = multiplication(antidomain(X_172),c(X_172)),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(X_172),antidomain(c(X_172))),c(X_172)),multiplication(antidomain(X_172),c(X_172))) )],[refute_0_161,refute_0_274]) ).
cnf(refute_0_276,plain,
multiplication(one,c(X_172)) = c(X_172),
inference(subst,[],[refute_0_38:[bind(A,$fot(c(X_172)))]]) ).
cnf(refute_0_277,plain,
( multiplication(one,c(X_172)) != c(X_172)
| multiplication(one,c(X_172)) != multiplication(antidomain(X_172),c(X_172))
| c(X_172) = multiplication(antidomain(X_172),c(X_172)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,c(X_172)),multiplication(antidomain(X_172),c(X_172))) ),[0],$fot(c(X_172))]]) ).
cnf(refute_0_278,plain,
( multiplication(one,c(X_172)) != multiplication(antidomain(X_172),c(X_172))
| c(X_172) = multiplication(antidomain(X_172),c(X_172)) ),
inference(resolve,[$cnf( $equal(multiplication(one,c(X_172)),c(X_172)) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
c(X_172) = multiplication(antidomain(X_172),c(X_172)),
inference(resolve,[$cnf( $equal(multiplication(one,c(X_172)),multiplication(antidomain(X_172),c(X_172))) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
c(X_284) = multiplication(antidomain(X_284),c(X_284)),
inference(subst,[],[refute_0_279:[bind(X_172,$fot(X_284))]]) ).
cnf(refute_0_281,plain,
( c(X_284) != multiplication(antidomain(X_284),c(X_284))
| multiplication(antidomain(X_284),c(X_284)) = c(X_284) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(c(X_284))),bind(Y,$fot(multiplication(antidomain(X_284),c(X_284))))]]) ).
cnf(refute_0_282,plain,
multiplication(antidomain(X_284),c(X_284)) = c(X_284),
inference(resolve,[$cnf( $equal(c(X_284),multiplication(antidomain(X_284),c(X_284))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
( multiplication(antidomain(X_284),addition(one,c(X_284))) != addition(antidomain(X_284),multiplication(antidomain(X_284),c(X_284)))
| multiplication(antidomain(X_284),c(X_284)) != c(X_284)
| multiplication(antidomain(X_284),addition(one,c(X_284))) = addition(antidomain(X_284),c(X_284)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_284),addition(one,c(X_284))),addition(antidomain(X_284),multiplication(antidomain(X_284),c(X_284)))) ),[1,1],$fot(c(X_284))]]) ).
cnf(refute_0_284,plain,
( multiplication(antidomain(X_284),addition(one,c(X_284))) != addition(antidomain(X_284),multiplication(antidomain(X_284),c(X_284)))
| multiplication(antidomain(X_284),addition(one,c(X_284))) = addition(antidomain(X_284),c(X_284)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_284),c(X_284)),c(X_284)) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
multiplication(antidomain(X_284),addition(one,c(X_284))) = addition(antidomain(X_284),c(X_284)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_284),addition(one,c(X_284))),addition(antidomain(X_284),multiplication(antidomain(X_284),c(X_284)))) )],[refute_0_151,refute_0_284]) ).
cnf(refute_0_286,plain,
multiplication(antidomain(X_284),one) = antidomain(X_284),
inference(subst,[],[refute_0_146:[bind(A,$fot(antidomain(X_284)))]]) ).
cnf(refute_0_287,plain,
one = addition(one,domain(antidomain(X_8))),
inference(subst,[],[refute_0_73:[bind(X_172,$fot(antidomain(X_8)))]]) ).
cnf(refute_0_288,plain,
( domain(antidomain(X_8)) != c(X_8)
| one != addition(one,domain(antidomain(X_8)))
| one = addition(one,c(X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,domain(antidomain(X_8)))) ),[1,1],$fot(c(X_8))]]) ).
cnf(refute_0_289,plain,
( one != addition(one,domain(antidomain(X_8)))
| one = addition(one,c(X_8)) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_8)),c(X_8)) )],[refute_0_240,refute_0_288]) ).
cnf(refute_0_290,plain,
one = addition(one,c(X_8)),
inference(resolve,[$cnf( $equal(one,addition(one,domain(antidomain(X_8)))) )],[refute_0_287,refute_0_289]) ).
cnf(refute_0_291,plain,
( one != addition(one,c(X_8))
| addition(one,c(X_8)) = one ),
inference(subst,[],[refute_0_23:[bind(X,$fot(one)),bind(Y,$fot(addition(one,c(X_8))))]]) ).
cnf(refute_0_292,plain,
addition(one,c(X_8)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,c(X_8))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
addition(one,c(X_284)) = one,
inference(subst,[],[refute_0_292:[bind(X_8,$fot(X_284))]]) ).
cnf(refute_0_294,plain,
multiplication(antidomain(X_284),addition(one,c(X_284))) = multiplication(antidomain(X_284),addition(one,c(X_284))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(X_284),addition(one,c(X_284))))]]) ).
cnf(refute_0_295,plain,
( addition(one,c(X_284)) != one
| multiplication(antidomain(X_284),addition(one,c(X_284))) != multiplication(antidomain(X_284),addition(one,c(X_284)))
| multiplication(antidomain(X_284),addition(one,c(X_284))) = multiplication(antidomain(X_284),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_284),addition(one,c(X_284))),multiplication(antidomain(X_284),addition(one,c(X_284)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_296,plain,
( addition(one,c(X_284)) != one
| multiplication(antidomain(X_284),addition(one,c(X_284))) = multiplication(antidomain(X_284),one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_284),addition(one,c(X_284))),multiplication(antidomain(X_284),addition(one,c(X_284)))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
multiplication(antidomain(X_284),addition(one,c(X_284))) = multiplication(antidomain(X_284),one),
inference(resolve,[$cnf( $equal(addition(one,c(X_284)),one) )],[refute_0_293,refute_0_296]) ).
cnf(refute_0_298,plain,
( multiplication(antidomain(X_284),addition(one,c(X_284))) != multiplication(antidomain(X_284),one)
| multiplication(antidomain(X_284),one) != antidomain(X_284)
| multiplication(antidomain(X_284),addition(one,c(X_284))) = antidomain(X_284) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(multiplication(antidomain(X_284),addition(one,c(X_284))))),bind(Y,$fot(multiplication(antidomain(X_284),one))),bind(Z,$fot(antidomain(X_284)))]]) ).
cnf(refute_0_299,plain,
( multiplication(antidomain(X_284),one) != antidomain(X_284)
| multiplication(antidomain(X_284),addition(one,c(X_284))) = antidomain(X_284) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_284),addition(one,c(X_284))),multiplication(antidomain(X_284),one)) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
multiplication(antidomain(X_284),addition(one,c(X_284))) = antidomain(X_284),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_284),one),antidomain(X_284)) )],[refute_0_286,refute_0_299]) ).
cnf(refute_0_301,plain,
( multiplication(antidomain(X_284),addition(one,c(X_284))) != addition(antidomain(X_284),c(X_284))
| multiplication(antidomain(X_284),addition(one,c(X_284))) != antidomain(X_284)
| antidomain(X_284) = addition(antidomain(X_284),c(X_284)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_284),addition(one,c(X_284))),addition(antidomain(X_284),c(X_284))) ),[0],$fot(antidomain(X_284))]]) ).
cnf(refute_0_302,plain,
( multiplication(antidomain(X_284),addition(one,c(X_284))) != addition(antidomain(X_284),c(X_284))
| antidomain(X_284) = addition(antidomain(X_284),c(X_284)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_284),addition(one,c(X_284))),antidomain(X_284)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
addition(antidomain(X_284),c(X_284)) = c(X_284),
inference(subst,[],[refute_0_227:[bind(X_60,$fot(X_284))]]) ).
cnf(refute_0_304,plain,
( addition(antidomain(X_284),c(X_284)) != c(X_284)
| antidomain(X_284) != addition(antidomain(X_284),c(X_284))
| antidomain(X_284) = c(X_284) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(X_284),addition(antidomain(X_284),c(X_284))) ),[1],$fot(c(X_284))]]) ).
cnf(refute_0_305,plain,
( antidomain(X_284) != addition(antidomain(X_284),c(X_284))
| antidomain(X_284) = c(X_284) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_284),c(X_284)),c(X_284)) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
( multiplication(antidomain(X_284),addition(one,c(X_284))) != addition(antidomain(X_284),c(X_284))
| antidomain(X_284) = c(X_284) ),
inference(resolve,[$cnf( $equal(antidomain(X_284),addition(antidomain(X_284),c(X_284))) )],[refute_0_302,refute_0_305]) ).
cnf(refute_0_307,plain,
antidomain(X_284) = c(X_284),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_284),addition(one,c(X_284))),addition(antidomain(X_284),c(X_284))) )],[refute_0_285,refute_0_306]) ).
cnf(refute_0_308,plain,
( antidomain(X_284) != c(X_284)
| c(X_284) = antidomain(X_284) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(antidomain(X_284))),bind(Y,$fot(c(X_284)))]]) ).
cnf(refute_0_309,plain,
c(X_284) = antidomain(X_284),
inference(resolve,[$cnf( $equal(antidomain(X_284),c(X_284)) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
c(X0) = antidomain(X0),
inference(subst,[],[refute_0_309:[bind(X_284,$fot(X0))]]) ).
cnf(refute_0_311,plain,
antidomain(c(X0)) = antidomain(c(X0)),
introduced(tautology,[refl,[$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_312,plain,
( antidomain(c(X0)) != antidomain(c(X0))
| c(X0) != antidomain(X0)
| antidomain(c(X0)) = antidomain(antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(X0)),antidomain(c(X0))) ),[1,0],$fot(antidomain(X0))]]) ).
cnf(refute_0_313,plain,
( c(X0) != antidomain(X0)
| antidomain(c(X0)) = antidomain(antidomain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(c(X0)),antidomain(c(X0))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
antidomain(c(X0)) = antidomain(antidomain(X0)),
inference(resolve,[$cnf( $equal(c(X0),antidomain(X0)) )],[refute_0_310,refute_0_313]) ).
cnf(refute_0_315,plain,
( antidomain(antidomain(X0)) != domain(X0)
| antidomain(c(X0)) != antidomain(antidomain(X0))
| antidomain(c(X0)) = domain(X0) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(antidomain(c(X0)))),bind(Y,$fot(antidomain(antidomain(X0)))),bind(Z,$fot(domain(X0)))]]) ).
cnf(refute_0_316,plain,
( antidomain(antidomain(X0)) != domain(X0)
| antidomain(c(X0)) = domain(X0) ),
inference(resolve,[$cnf( $equal(antidomain(c(X0)),antidomain(antidomain(X0))) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
antidomain(c(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_54,refute_0_316]) ).
cnf(refute_0_318,plain,
( antidomain(c(X0)) != domain(X0)
| domain(domain(X0)) != antidomain(c(X0))
| domain(domain(X0)) = domain(X0) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) ),[1],$fot(domain(X0))]]) ).
cnf(refute_0_319,plain,
( domain(domain(X0)) != antidomain(c(X0))
| domain(domain(X0)) = domain(X0) ),
inference(resolve,[$cnf( $equal(antidomain(c(X0)),domain(X0)) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
domain(domain(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_144,refute_0_319]) ).
cnf(refute_0_321,plain,
domain(domain(X_286)) = domain(X_286),
inference(subst,[],[refute_0_320:[bind(X0,$fot(X_286))]]) ).
cnf(refute_0_322,plain,
( domain(domain(X_286)) != domain(X_286)
| forward_diamond(X0,domain(X_286)) != domain(multiplication(X0,domain(domain(X_286))))
| forward_diamond(X0,domain(X_286)) = domain(multiplication(X0,domain(X_286))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X0,domain(X_286)),domain(multiplication(X0,domain(domain(X_286))))) ),[1,0,1],$fot(domain(X_286))]]) ).
cnf(refute_0_323,plain,
( forward_diamond(X0,domain(X_286)) != domain(multiplication(X0,domain(domain(X_286))))
| forward_diamond(X0,domain(X_286)) = domain(multiplication(X0,domain(X_286))) ),
inference(resolve,[$cnf( $equal(domain(domain(X_286)),domain(X_286)) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
forward_diamond(X0,domain(X_286)) = domain(multiplication(X0,domain(X_286))),
inference(resolve,[$cnf( $equal(forward_diamond(X0,domain(X_286)),domain(multiplication(X0,domain(domain(X_286))))) )],[refute_0_137,refute_0_323]) ).
cnf(refute_0_325,plain,
( forward_diamond(X0,X1) != domain(multiplication(X0,domain(X1)))
| domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(forward_diamond(X0,X1))),bind(Y,$fot(domain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_326,plain,
domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1),
inference(resolve,[$cnf( $equal(forward_diamond(X0,X1),domain(multiplication(X0,domain(X1)))) )],[refute_0_136,refute_0_325]) ).
cnf(refute_0_327,plain,
domain(multiplication(X0,domain(X_286))) = forward_diamond(X0,X_286),
inference(subst,[],[refute_0_326:[bind(X1,$fot(X_286))]]) ).
cnf(refute_0_328,plain,
( domain(multiplication(X0,domain(X_286))) != forward_diamond(X0,X_286)
| forward_diamond(X0,domain(X_286)) != domain(multiplication(X0,domain(X_286)))
| forward_diamond(X0,domain(X_286)) = forward_diamond(X0,X_286) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X0,domain(X_286)),domain(multiplication(X0,domain(X_286)))) ),[1],$fot(forward_diamond(X0,X_286))]]) ).
cnf(refute_0_329,plain,
( forward_diamond(X0,domain(X_286)) != domain(multiplication(X0,domain(X_286)))
| forward_diamond(X0,domain(X_286)) = forward_diamond(X0,X_286) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,domain(X_286))),forward_diamond(X0,X_286)) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
forward_diamond(X0,domain(X_286)) = forward_diamond(X0,X_286),
inference(resolve,[$cnf( $equal(forward_diamond(X0,domain(X_286)),domain(multiplication(X0,domain(X_286)))) )],[refute_0_324,refute_0_329]) ).
cnf(refute_0_331,plain,
forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)) = forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_330:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_286,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_332,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169) = addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169),
introduced(tautology,[refl,[$fot(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169))]]) ).
cnf(refute_0_333,plain,
( addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169) != addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)
| forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)) != forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169) = addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_169) ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)) ),[1,0],$fot(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_334,plain,
( forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)) != forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169) = addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_169) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169) = addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_169),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_331,refute_0_334]) ).
cnf(refute_0_336,plain,
addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)) = addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)),
introduced(tautology,[refl,[$fot(addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)))]]) ).
cnf(refute_0_337,plain,
( addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)) != addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169))
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169) != addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_169)
| addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)) = addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_169)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)),addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169))) ),[1,1],$fot(addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_169))]]) ).
cnf(refute_0_338,plain,
( addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169) != addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_169)
| addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)) = addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_169)) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)),addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)) = addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_169)),
inference(resolve,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169),addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_169)) )],[refute_0_335,refute_0_338]) ).
cnf(refute_0_340,plain,
( addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)) != addition(domain(skolemFOFtoCNF_X2),X_169)
| addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)) != addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_169))
| addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_169)) = addition(domain(skolemFOFtoCNF_X2),X_169) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)),addition(domain(skolemFOFtoCNF_X2),X_169)) ),[0],$fot(addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_169)))]]) ).
cnf(refute_0_341,plain,
( addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)) != addition(domain(skolemFOFtoCNF_X2),X_169)
| addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_169)) = addition(domain(skolemFOFtoCNF_X2),X_169) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)),addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_169))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),X_169)) = addition(domain(skolemFOFtoCNF_X2),X_169),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),X_169)),addition(domain(skolemFOFtoCNF_X2),X_169)) )],[refute_0_135,refute_0_341]) ).
cnf(refute_0_343,plain,
addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_342:[bind(X_169,$fot(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_344,plain,
addition(antidomain(antidomain(X0)),domain(antidomain(X0))) = one,
inference(subst,[],[refute_0_61:[bind(X0,$fot(antidomain(X0)))]]) ).
cnf(refute_0_345,plain,
( addition(antidomain(antidomain(X0)),domain(antidomain(X0))) != one
| antidomain(antidomain(X0)) != domain(X0)
| addition(domain(X0),domain(antidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X0)),domain(antidomain(X0))),one) ),[0,0],$fot(domain(X0))]]) ).
cnf(refute_0_346,plain,
( addition(antidomain(antidomain(X0)),domain(antidomain(X0))) != one
| addition(domain(X0),domain(antidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_54,refute_0_345]) ).
cnf(refute_0_347,plain,
addition(domain(X0),domain(antidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),domain(antidomain(X0))),one) )],[refute_0_344,refute_0_346]) ).
cnf(refute_0_348,plain,
addition(domain(X0),c(X0)) = addition(c(X0),domain(X0)),
inference(subst,[],[refute_0_47:[bind(A,$fot(c(X0))),bind(B,$fot(domain(X0)))]]) ).
cnf(refute_0_349,plain,
domain(antidomain(X0)) = c(X0),
inference(subst,[],[refute_0_240:[bind(X_8,$fot(X0))]]) ).
cnf(refute_0_350,plain,
addition(domain(X0),domain(antidomain(X0))) = addition(domain(X0),domain(antidomain(X0))),
introduced(tautology,[refl,[$fot(addition(domain(X0),domain(antidomain(X0))))]]) ).
cnf(refute_0_351,plain,
( addition(domain(X0),domain(antidomain(X0))) != addition(domain(X0),domain(antidomain(X0)))
| domain(antidomain(X0)) != c(X0)
| addition(domain(X0),domain(antidomain(X0))) = addition(domain(X0),c(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X0),domain(antidomain(X0))),addition(domain(X0),domain(antidomain(X0)))) ),[1,1],$fot(c(X0))]]) ).
cnf(refute_0_352,plain,
( domain(antidomain(X0)) != c(X0)
| addition(domain(X0),domain(antidomain(X0))) = addition(domain(X0),c(X0)) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(antidomain(X0))),addition(domain(X0),domain(antidomain(X0)))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
addition(domain(X0),domain(antidomain(X0))) = addition(domain(X0),c(X0)),
inference(resolve,[$cnf( $equal(domain(antidomain(X0)),c(X0)) )],[refute_0_349,refute_0_352]) ).
cnf(refute_0_354,plain,
( addition(domain(X0),c(X0)) != addition(c(X0),domain(X0))
| addition(domain(X0),domain(antidomain(X0))) != addition(domain(X0),c(X0))
| addition(domain(X0),domain(antidomain(X0))) = addition(c(X0),domain(X0)) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(addition(domain(X0),domain(antidomain(X0))))),bind(Y,$fot(addition(domain(X0),c(X0)))),bind(Z,$fot(addition(c(X0),domain(X0))))]]) ).
cnf(refute_0_355,plain,
( addition(domain(X0),c(X0)) != addition(c(X0),domain(X0))
| addition(domain(X0),domain(antidomain(X0))) = addition(c(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(antidomain(X0))),addition(domain(X0),c(X0))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
addition(domain(X0),domain(antidomain(X0))) = addition(c(X0),domain(X0)),
inference(resolve,[$cnf( $equal(addition(domain(X0),c(X0)),addition(c(X0),domain(X0))) )],[refute_0_348,refute_0_355]) ).
cnf(refute_0_357,plain,
( addition(domain(X0),domain(antidomain(X0))) != addition(c(X0),domain(X0))
| addition(domain(X0),domain(antidomain(X0))) != one
| addition(c(X0),domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X0),domain(antidomain(X0))),one) ),[0],$fot(addition(c(X0),domain(X0)))]]) ).
cnf(refute_0_358,plain,
( addition(domain(X0),domain(antidomain(X0))) != one
| addition(c(X0),domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(antidomain(X0))),addition(c(X0),domain(X0))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
addition(c(X0),domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(domain(X0),domain(antidomain(X0))),one) )],[refute_0_347,refute_0_358]) ).
cnf(refute_0_360,plain,
addition(c(multiplication(X_70,domain(X_71))),domain(multiplication(X_70,domain(X_71)))) = one,
inference(subst,[],[refute_0_359:[bind(X0,$fot(multiplication(X_70,domain(X_71))))]]) ).
cnf(refute_0_361,plain,
forward_diamond(X_70,X_71) = domain(multiplication(X_70,domain(X_71))),
inference(subst,[],[refute_0_136:[bind(X0,$fot(X_70)),bind(X1,$fot(X_71))]]) ).
cnf(refute_0_362,plain,
( forward_diamond(X_70,X_71) != domain(multiplication(X_70,domain(X_71)))
| domain(multiplication(X_70,domain(X_71))) = forward_diamond(X_70,X_71) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(forward_diamond(X_70,X_71))),bind(Y,$fot(domain(multiplication(X_70,domain(X_71)))))]]) ).
cnf(refute_0_363,plain,
domain(multiplication(X_70,domain(X_71))) = forward_diamond(X_70,X_71),
inference(resolve,[$cnf( $equal(forward_diamond(X_70,X_71),domain(multiplication(X_70,domain(X_71)))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
( addition(c(multiplication(X_70,domain(X_71))),domain(multiplication(X_70,domain(X_71)))) != one
| domain(multiplication(X_70,domain(X_71))) != forward_diamond(X_70,X_71)
| addition(c(multiplication(X_70,domain(X_71))),forward_diamond(X_70,X_71)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(multiplication(X_70,domain(X_71))),domain(multiplication(X_70,domain(X_71)))),one) ),[0,1],$fot(forward_diamond(X_70,X_71))]]) ).
cnf(refute_0_365,plain,
( addition(c(multiplication(X_70,domain(X_71))),domain(multiplication(X_70,domain(X_71)))) != one
| addition(c(multiplication(X_70,domain(X_71))),forward_diamond(X_70,X_71)) = one ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_70,domain(X_71))),forward_diamond(X_70,X_71)) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
addition(c(multiplication(X_70,domain(X_71))),forward_diamond(X_70,X_71)) = one,
inference(resolve,[$cnf( $equal(addition(c(multiplication(X_70,domain(X_71))),domain(multiplication(X_70,domain(X_71)))),one) )],[refute_0_360,refute_0_365]) ).
cnf(refute_0_367,plain,
addition(c(multiplication(X_70,domain(X_71))),forward_diamond(X_70,X_71)) = addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))),
inference(subst,[],[refute_0_47:[bind(A,$fot(forward_diamond(X_70,X_71))),bind(B,$fot(c(multiplication(X_70,domain(X_71)))))]]) ).
cnf(refute_0_368,plain,
( addition(c(multiplication(X_70,domain(X_71))),forward_diamond(X_70,X_71)) != addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71))))
| addition(c(multiplication(X_70,domain(X_71))),forward_diamond(X_70,X_71)) != one
| addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(multiplication(X_70,domain(X_71))),forward_diamond(X_70,X_71)),one) ),[0],$fot(addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))))]]) ).
cnf(refute_0_369,plain,
( addition(c(multiplication(X_70,domain(X_71))),forward_diamond(X_70,X_71)) != one
| addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))) = one ),
inference(resolve,[$cnf( $equal(addition(c(multiplication(X_70,domain(X_71))),forward_diamond(X_70,X_71)),addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71))))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))) = one,
inference(resolve,[$cnf( $equal(addition(c(multiplication(X_70,domain(X_71))),forward_diamond(X_70,X_71)),one) )],[refute_0_366,refute_0_369]) ).
cnf(refute_0_371,plain,
c(multiplication(X_70,domain(X_71))) = antidomain(domain(multiplication(X_70,domain(X_71)))),
inference(subst,[],[refute_0_139:[bind(X0,$fot(multiplication(X_70,domain(X_71))))]]) ).
cnf(refute_0_372,plain,
( c(multiplication(X_70,domain(X_71))) != antidomain(domain(multiplication(X_70,domain(X_71))))
| domain(multiplication(X_70,domain(X_71))) != forward_diamond(X_70,X_71)
| c(multiplication(X_70,domain(X_71))) = antidomain(forward_diamond(X_70,X_71)) ),
introduced(tautology,[equality,[$cnf( $equal(c(multiplication(X_70,domain(X_71))),antidomain(domain(multiplication(X_70,domain(X_71))))) ),[1,0],$fot(forward_diamond(X_70,X_71))]]) ).
cnf(refute_0_373,plain,
( c(multiplication(X_70,domain(X_71))) != antidomain(domain(multiplication(X_70,domain(X_71))))
| c(multiplication(X_70,domain(X_71))) = antidomain(forward_diamond(X_70,X_71)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_70,domain(X_71))),forward_diamond(X_70,X_71)) )],[refute_0_363,refute_0_372]) ).
cnf(refute_0_374,plain,
c(multiplication(X_70,domain(X_71))) = antidomain(forward_diamond(X_70,X_71)),
inference(resolve,[$cnf( $equal(c(multiplication(X_70,domain(X_71))),antidomain(domain(multiplication(X_70,domain(X_71))))) )],[refute_0_371,refute_0_373]) ).
cnf(refute_0_375,plain,
addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))) = addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))),
introduced(tautology,[refl,[$fot(addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))))]]) ).
cnf(refute_0_376,plain,
( addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))) != addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71))))
| c(multiplication(X_70,domain(X_71))) != antidomain(forward_diamond(X_70,X_71))
| addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))) = addition(forward_diamond(X_70,X_71),antidomain(forward_diamond(X_70,X_71))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))),addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71))))) ),[1,1],$fot(antidomain(forward_diamond(X_70,X_71)))]]) ).
cnf(refute_0_377,plain,
( c(multiplication(X_70,domain(X_71))) != antidomain(forward_diamond(X_70,X_71))
| addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))) = addition(forward_diamond(X_70,X_71),antidomain(forward_diamond(X_70,X_71))) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))),addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71))))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))) = addition(forward_diamond(X_70,X_71),antidomain(forward_diamond(X_70,X_71))),
inference(resolve,[$cnf( $equal(c(multiplication(X_70,domain(X_71))),antidomain(forward_diamond(X_70,X_71))) )],[refute_0_374,refute_0_377]) ).
cnf(refute_0_379,plain,
( addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))) != addition(forward_diamond(X_70,X_71),antidomain(forward_diamond(X_70,X_71)))
| addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))) != one
| addition(forward_diamond(X_70,X_71),antidomain(forward_diamond(X_70,X_71))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))),one) ),[0],$fot(addition(forward_diamond(X_70,X_71),antidomain(forward_diamond(X_70,X_71))))]]) ).
cnf(refute_0_380,plain,
( addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))) != one
| addition(forward_diamond(X_70,X_71),antidomain(forward_diamond(X_70,X_71))) = one ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))),addition(forward_diamond(X_70,X_71),antidomain(forward_diamond(X_70,X_71)))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
addition(forward_diamond(X_70,X_71),antidomain(forward_diamond(X_70,X_71))) = one,
inference(resolve,[$cnf( $equal(addition(forward_diamond(X_70,X_71),c(multiplication(X_70,domain(X_71)))),one) )],[refute_0_370,refute_0_380]) ).
cnf(refute_0_382,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = one,
inference(subst,[],[refute_0_381:[bind(X_70,$fot(skolemFOFtoCNF_X0)),bind(X_71,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_383,plain,
( addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != one
| addition(domain(skolemFOFtoCNF_X2),one) = addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_384,plain,
( addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| addition(domain(skolemFOFtoCNF_X2),one) = addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),one) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
addition(domain(skolemFOFtoCNF_X2),one) = addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),addition(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_343,refute_0_384]) ).
cnf(refute_0_386,plain,
addition(one,domain(skolemFOFtoCNF_X2)) = one,
inference(subst,[],[refute_0_75:[bind(X_172,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_387,plain,
addition(domain(skolemFOFtoCNF_X2),one) = addition(one,domain(skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_47:[bind(A,$fot(one)),bind(B,$fot(domain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_388,plain,
( addition(domain(skolemFOFtoCNF_X2),one) != addition(one,domain(skolemFOFtoCNF_X2))
| addition(one,domain(skolemFOFtoCNF_X2)) != one
| addition(domain(skolemFOFtoCNF_X2),one) = one ),
inference(subst,[],[refute_0_204:[bind(X,$fot(addition(domain(skolemFOFtoCNF_X2),one))),bind(Y,$fot(addition(one,domain(skolemFOFtoCNF_X2)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_389,plain,
( addition(one,domain(skolemFOFtoCNF_X2)) != one
| addition(domain(skolemFOFtoCNF_X2),one) = one ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),one),addition(one,domain(skolemFOFtoCNF_X2))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
addition(domain(skolemFOFtoCNF_X2),one) = one,
inference(resolve,[$cnf( $equal(addition(one,domain(skolemFOFtoCNF_X2)),one) )],[refute_0_386,refute_0_389]) ).
cnf(refute_0_391,plain,
( addition(domain(skolemFOFtoCNF_X2),one) != addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| addition(domain(skolemFOFtoCNF_X2),one) != one
| one = addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),one),addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),[0],$fot(one)]]) ).
cnf(refute_0_392,plain,
( addition(domain(skolemFOFtoCNF_X2),one) != addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| one = addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),one),one) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
one = addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),one),addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_385,refute_0_392]) ).
cnf(refute_0_394,plain,
( one != addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = one ),
inference(subst,[],[refute_0_23:[bind(X,$fot(one)),bind(Y,$fot(addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_395,plain,
addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = one,
inference(resolve,[$cnf( $equal(one,addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
( addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != one
| multiplication(antidomain(domain(skolemFOFtoCNF_X2)),addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one) = multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(skolemFOFtoCNF_X2)),addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_397,plain,
( multiplication(antidomain(domain(skolemFOFtoCNF_X2)),addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one) = multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),one) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one) = multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(skolemFOFtoCNF_X2)),addition(domain(skolemFOFtoCNF_X2),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_126,refute_0_397]) ).
cnf(refute_0_399,plain,
( c(X0) != antidomain(X0)
| c(X0) != antidomain(domain(X0))
| antidomain(X0) = antidomain(domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(c(X0),antidomain(domain(X0))) ),[0],$fot(antidomain(X0))]]) ).
cnf(refute_0_400,plain,
( c(X0) != antidomain(domain(X0))
| antidomain(X0) = antidomain(domain(X0)) ),
inference(resolve,[$cnf( $equal(c(X0),antidomain(X0)) )],[refute_0_310,refute_0_399]) ).
cnf(refute_0_401,plain,
antidomain(X0) = antidomain(domain(X0)),
inference(resolve,[$cnf( $equal(c(X0),antidomain(domain(X0))) )],[refute_0_139,refute_0_400]) ).
cnf(refute_0_402,plain,
( antidomain(X0) != antidomain(domain(X0))
| antidomain(domain(X0)) = antidomain(X0) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(antidomain(X0))),bind(Y,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_403,plain,
antidomain(domain(X0)) = antidomain(X0),
inference(resolve,[$cnf( $equal(antidomain(X0),antidomain(domain(X0))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
antidomain(domain(skolemFOFtoCNF_X2)) = antidomain(skolemFOFtoCNF_X2),
inference(subst,[],[refute_0_403:[bind(X0,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_405,plain,
multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one) = antidomain(domain(skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_146:[bind(A,$fot(antidomain(domain(skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_406,plain,
( antidomain(domain(skolemFOFtoCNF_X2)) != antidomain(skolemFOFtoCNF_X2)
| multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one) != antidomain(domain(skolemFOFtoCNF_X2))
| multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one) = antidomain(skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one))),bind(Y,$fot(antidomain(domain(skolemFOFtoCNF_X2)))),bind(Z,$fot(antidomain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_407,plain,
( antidomain(domain(skolemFOFtoCNF_X2)) != antidomain(skolemFOFtoCNF_X2)
| multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one) = antidomain(skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one),antidomain(domain(skolemFOFtoCNF_X2))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one) = antidomain(skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(skolemFOFtoCNF_X2)) )],[refute_0_404,refute_0_407]) ).
cnf(refute_0_409,plain,
( multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one) != antidomain(skolemFOFtoCNF_X2)
| multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one) != multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| antidomain(skolemFOFtoCNF_X2) = multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one),multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),[0],$fot(antidomain(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_410,plain,
( multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one) != multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| antidomain(skolemFOFtoCNF_X2) = multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one),antidomain(skolemFOFtoCNF_X2)) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
introduced(tautology,[refl,[$fot(domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_412,plain,
( antidomain(domain(skolemFOFtoCNF_X2)) != antidomain(skolemFOFtoCNF_X2)
| domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),[1,0],$fot(antidomain(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_413,plain,
( antidomain(domain(skolemFOFtoCNF_X2)) != antidomain(skolemFOFtoCNF_X2)
| domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(skolemFOFtoCNF_X2)) )],[refute_0_404,refute_0_413]) ).
cnf(refute_0_415,plain,
domain_difference(antidomain(X_8),X_45) = multiplication(domain(antidomain(X_8)),antidomain(X_45)),
inference(subst,[],[refute_0_99:[bind(X0,$fot(antidomain(X_8))),bind(X1,$fot(X_45))]]) ).
cnf(refute_0_416,plain,
( domain(antidomain(X_8)) != c(X_8)
| domain_difference(antidomain(X_8),X_45) != multiplication(domain(antidomain(X_8)),antidomain(X_45))
| domain_difference(antidomain(X_8),X_45) = multiplication(c(X_8),antidomain(X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(antidomain(X_8),X_45),multiplication(domain(antidomain(X_8)),antidomain(X_45))) ),[1,0],$fot(c(X_8))]]) ).
cnf(refute_0_417,plain,
( domain_difference(antidomain(X_8),X_45) != multiplication(domain(antidomain(X_8)),antidomain(X_45))
| domain_difference(antidomain(X_8),X_45) = multiplication(c(X_8),antidomain(X_45)) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_8)),c(X_8)) )],[refute_0_240,refute_0_416]) ).
cnf(refute_0_418,plain,
domain_difference(antidomain(X_8),X_45) = multiplication(c(X_8),antidomain(X_45)),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X_8),X_45),multiplication(domain(antidomain(X_8)),antidomain(X_45))) )],[refute_0_415,refute_0_417]) ).
cnf(refute_0_419,plain,
c(X_8) = antidomain(X_8),
inference(subst,[],[refute_0_309:[bind(X_284,$fot(X_8))]]) ).
cnf(refute_0_420,plain,
multiplication(c(X_8),antidomain(X_45)) = multiplication(c(X_8),antidomain(X_45)),
introduced(tautology,[refl,[$fot(multiplication(c(X_8),antidomain(X_45)))]]) ).
cnf(refute_0_421,plain,
( c(X_8) != antidomain(X_8)
| multiplication(c(X_8),antidomain(X_45)) != multiplication(c(X_8),antidomain(X_45))
| multiplication(c(X_8),antidomain(X_45)) = multiplication(antidomain(X_8),antidomain(X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(X_8),antidomain(X_45)),multiplication(c(X_8),antidomain(X_45))) ),[1,0],$fot(antidomain(X_8))]]) ).
cnf(refute_0_422,plain,
( c(X_8) != antidomain(X_8)
| multiplication(c(X_8),antidomain(X_45)) = multiplication(antidomain(X_8),antidomain(X_45)) ),
inference(resolve,[$cnf( $equal(multiplication(c(X_8),antidomain(X_45)),multiplication(c(X_8),antidomain(X_45))) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
multiplication(c(X_8),antidomain(X_45)) = multiplication(antidomain(X_8),antidomain(X_45)),
inference(resolve,[$cnf( $equal(c(X_8),antidomain(X_8)) )],[refute_0_419,refute_0_422]) ).
cnf(refute_0_424,plain,
( domain_difference(antidomain(X_8),X_45) != multiplication(c(X_8),antidomain(X_45))
| multiplication(c(X_8),antidomain(X_45)) != multiplication(antidomain(X_8),antidomain(X_45))
| domain_difference(antidomain(X_8),X_45) = multiplication(antidomain(X_8),antidomain(X_45)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain_difference(antidomain(X_8),X_45),multiplication(antidomain(X_8),antidomain(X_45))) ),[0],$fot(multiplication(c(X_8),antidomain(X_45)))]]) ).
cnf(refute_0_425,plain,
( domain_difference(antidomain(X_8),X_45) != multiplication(c(X_8),antidomain(X_45))
| domain_difference(antidomain(X_8),X_45) = multiplication(antidomain(X_8),antidomain(X_45)) ),
inference(resolve,[$cnf( $equal(multiplication(c(X_8),antidomain(X_45)),multiplication(antidomain(X_8),antidomain(X_45))) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
domain_difference(antidomain(X_8),X_45) = multiplication(antidomain(X_8),antidomain(X_45)),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X_8),X_45),multiplication(c(X_8),antidomain(X_45))) )],[refute_0_418,refute_0_425]) ).
cnf(refute_0_427,plain,
( domain_difference(antidomain(X_8),X_45) != multiplication(antidomain(X_8),antidomain(X_45))
| multiplication(antidomain(X_8),antidomain(X_45)) = domain_difference(antidomain(X_8),X_45) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(domain_difference(antidomain(X_8),X_45))),bind(Y,$fot(multiplication(antidomain(X_8),antidomain(X_45))))]]) ).
cnf(refute_0_428,plain,
multiplication(antidomain(X_8),antidomain(X_45)) = domain_difference(antidomain(X_8),X_45),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(X_8),X_45),multiplication(antidomain(X_8),antidomain(X_45))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_428:[bind(X_45,$fot(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),bind(X_8,$fot(domain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_430,plain,
( domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),bind(Y,$fot(domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),bind(Z,$fot(domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_431,plain,
( domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_414,refute_0_431]) ).
cnf(refute_0_433,plain,
( antidomain(skolemFOFtoCNF_X2) != multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| antidomain(skolemFOFtoCNF_X2) = domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(skolemFOFtoCNF_X2),domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),[0],$fot(multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_434,plain,
( antidomain(skolemFOFtoCNF_X2) != multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| antidomain(skolemFOFtoCNF_X2) = domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
( multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one) != multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| antidomain(skolemFOFtoCNF_X2) = domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(antidomain(skolemFOFtoCNF_X2),multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_410,refute_0_434]) ).
cnf(refute_0_436,plain,
antidomain(skolemFOFtoCNF_X2) = domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(domain(skolemFOFtoCNF_X2)),one),multiplication(antidomain(domain(skolemFOFtoCNF_X2)),antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_398,refute_0_435]) ).
cnf(refute_0_437,plain,
( antidomain(skolemFOFtoCNF_X2) != domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = antidomain(skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(antidomain(skolemFOFtoCNF_X2))),bind(Y,$fot(domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_438,plain,
domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = antidomain(skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(antidomain(skolemFOFtoCNF_X2),domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
( domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != antidomain(skolemFOFtoCNF_X2)
| ~ leq(multiplication(domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),X_2196),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),X_2196))
| leq(multiplication(antidomain(skolemFOFtoCNF_X2),X_2196),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),X_2196)) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),X_2196),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),X_2196)) ),[0,0],$fot(antidomain(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_440,plain,
( ~ leq(multiplication(domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),X_2196),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),X_2196))
| leq(multiplication(antidomain(skolemFOFtoCNF_X2),X_2196),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),X_2196)) ),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),antidomain(skolemFOFtoCNF_X2)) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
leq(multiplication(antidomain(skolemFOFtoCNF_X2),X_2196),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),X_2196)),
inference(resolve,[$cnf( leq(multiplication(domain_difference(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),X_2196),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),X_2196)) )],[refute_0_109,refute_0_440]) ).
cnf(refute_0_442,plain,
leq(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))),
inference(subst,[],[refute_0_441:[bind(X_2196,$fot(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_443,plain,
multiplication(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),multiplication(X0,domain(X1))) = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))),
inference(subst,[],[refute_0_160:[bind(X_277,$fot(antidomain(multiplication(X0,X1)))),bind(X_279,$fot(multiplication(X0,domain(X1))))]]) ).
cnf(refute_0_444,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| multiplication(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),multiplication(X0,domain(X1))) != multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))
| multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))) = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),multiplication(X0,domain(X1))),multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))) ),[0,0],$fot(antidomain(multiplication(X0,domain(X1))))]]) ).
cnf(refute_0_445,plain,
( multiplication(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),multiplication(X0,domain(X1))) != multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))
| multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))) = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_182,refute_0_444]) ).
cnf(refute_0_446,plain,
multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))) = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),multiplication(X0,domain(X1))),multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))) )],[refute_0_443,refute_0_445]) ).
cnf(refute_0_447,plain,
multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))) = zero,
inference(subst,[],[refute_0_112:[bind(X0,$fot(multiplication(X0,domain(X1))))]]) ).
cnf(refute_0_448,plain,
( multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))) != multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))
| multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))) != zero
| zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))),multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_449,plain,
( multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))) != multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))
| zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))),zero) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X0,domain(X1))),multiplication(X0,domain(X1))),multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,domain(X1)))) )],[refute_0_446,refute_0_449]) ).
cnf(refute_0_451,plain,
zero = multiplication(antidomain(multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))),
inference(subst,[],[refute_0_450:[bind(X0,$fot(addition(X_2603,antidomain(X_2602)))),bind(X1,$fot(domain(X_2602)))]]) ).
cnf(refute_0_452,plain,
multiplication(addition(X_277,antidomain(X_182)),domain(X_182)) = addition(multiplication(X_277,domain(X_182)),multiplication(antidomain(X_182),domain(X_182))),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_277)),bind(B,$fot(antidomain(X_182))),bind(C,$fot(domain(X_182)))]]) ).
cnf(refute_0_453,plain,
multiplication(antidomain(multiplication(antidomain(X_182),domain(X_182))),multiplication(antidomain(X_182),domain(X_182))) = zero,
inference(subst,[],[refute_0_112:[bind(X0,$fot(multiplication(antidomain(X_182),domain(X_182))))]]) ).
cnf(refute_0_454,plain,
addition(antidomain(multiplication(antidomain(X_60),X_60)),antidomain(multiplication(antidomain(X_60),domain(X_60)))) = antidomain(multiplication(antidomain(X_60),domain(X_60))),
inference(subst,[],[refute_0_182:[bind(X0,$fot(antidomain(X_60))),bind(X1,$fot(X_60))]]) ).
cnf(refute_0_455,plain,
multiplication(antidomain(X_60),X_60) = zero,
inference(subst,[],[refute_0_112:[bind(X0,$fot(X_60))]]) ).
cnf(refute_0_456,plain,
( addition(antidomain(multiplication(antidomain(X_60),X_60)),antidomain(multiplication(antidomain(X_60),domain(X_60)))) != antidomain(multiplication(antidomain(X_60),domain(X_60)))
| multiplication(antidomain(X_60),X_60) != zero
| addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))) = antidomain(multiplication(antidomain(X_60),domain(X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(antidomain(X_60),X_60)),antidomain(multiplication(antidomain(X_60),domain(X_60)))),antidomain(multiplication(antidomain(X_60),domain(X_60)))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_457,plain,
( addition(antidomain(multiplication(antidomain(X_60),X_60)),antidomain(multiplication(antidomain(X_60),domain(X_60)))) != antidomain(multiplication(antidomain(X_60),domain(X_60)))
| addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))) = antidomain(multiplication(antidomain(X_60),domain(X_60))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_60),X_60),zero) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))) = antidomain(multiplication(antidomain(X_60),domain(X_60))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(antidomain(X_60),X_60)),antidomain(multiplication(antidomain(X_60),domain(X_60)))),antidomain(multiplication(antidomain(X_60),domain(X_60)))) )],[refute_0_454,refute_0_457]) ).
cnf(refute_0_459,plain,
addition(zero,antidomain(zero)) = addition(antidomain(zero),zero),
inference(subst,[],[refute_0_18:[bind(A,$fot(zero)),bind(B,$fot(antidomain(zero)))]]) ).
cnf(refute_0_460,plain,
addition(antidomain(one),domain(one)) = one,
inference(subst,[],[refute_0_61:[bind(X0,$fot(one))]]) ).
cnf(refute_0_461,plain,
domain(one) = antidomain(antidomain(one)),
inference(subst,[],[refute_0_52:[bind(X0,$fot(one))]]) ).
cnf(refute_0_462,plain,
multiplication(antidomain(one),one) = zero,
inference(subst,[],[refute_0_112:[bind(X0,$fot(one))]]) ).
cnf(refute_0_463,plain,
multiplication(antidomain(one),one) = antidomain(one),
inference(subst,[],[refute_0_146:[bind(A,$fot(antidomain(one)))]]) ).
cnf(refute_0_464,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| multiplication(antidomain(one),one) != zero
| antidomain(one) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(one),one),zero) ),[0],$fot(antidomain(one))]]) ).
cnf(refute_0_465,plain,
( multiplication(antidomain(one),one) != zero
| antidomain(one) = zero ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
antidomain(one) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),zero) )],[refute_0_462,refute_0_465]) ).
cnf(refute_0_467,plain,
( antidomain(one) != zero
| domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(domain(one),antidomain(antidomain(one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_468,plain,
( domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
domain(one) = antidomain(zero),
inference(resolve,[$cnf( $equal(domain(one),antidomain(antidomain(one))) )],[refute_0_461,refute_0_468]) ).
cnf(refute_0_470,plain,
( addition(antidomain(one),domain(one)) != one
| domain(one) != antidomain(zero)
| addition(antidomain(one),antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),domain(one)),one) ),[0,1],$fot(antidomain(zero))]]) ).
cnf(refute_0_471,plain,
( addition(antidomain(one),domain(one)) != one
| addition(antidomain(one),antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
addition(antidomain(one),antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(one)),one) )],[refute_0_460,refute_0_471]) ).
cnf(refute_0_473,plain,
addition(antidomain(one),antidomain(zero)) = addition(antidomain(one),antidomain(zero)),
introduced(tautology,[refl,[$fot(addition(antidomain(one),antidomain(zero)))]]) ).
cnf(refute_0_474,plain,
( addition(antidomain(one),antidomain(zero)) != addition(antidomain(one),antidomain(zero))
| antidomain(one) != zero
| addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(antidomain(one),antidomain(zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_475,plain,
( antidomain(one) != zero
| addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(antidomain(one),antidomain(zero))) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_466,refute_0_475]) ).
cnf(refute_0_477,plain,
( addition(antidomain(one),antidomain(zero)) != addition(zero,antidomain(zero))
| addition(antidomain(one),antidomain(zero)) != one
| addition(zero,antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) ),[0],$fot(addition(zero,antidomain(zero)))]]) ).
cnf(refute_0_478,plain,
( addition(antidomain(one),antidomain(zero)) != one
| addition(zero,antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(zero,antidomain(zero))) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
addition(zero,antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) )],[refute_0_472,refute_0_478]) ).
cnf(refute_0_480,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| addition(zero,antidomain(zero)) != one
| one = addition(antidomain(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) ),[0],$fot(one)]]) ).
cnf(refute_0_481,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| one = addition(antidomain(zero),zero) ),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),one) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
one = addition(antidomain(zero),zero),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) )],[refute_0_459,refute_0_481]) ).
cnf(refute_0_483,plain,
addition(antidomain(zero),zero) = antidomain(zero),
inference(subst,[],[refute_0_117:[bind(A,$fot(antidomain(zero)))]]) ).
cnf(refute_0_484,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_485,plain,
( one != addition(antidomain(zero),zero)
| one = antidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),zero),antidomain(zero)) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
one = antidomain(zero),
inference(resolve,[$cnf( $equal(one,addition(antidomain(zero),zero)) )],[refute_0_482,refute_0_485]) ).
cnf(refute_0_487,plain,
( one != antidomain(zero)
| antidomain(zero) = one ),
inference(subst,[],[refute_0_23:[bind(X,$fot(one)),bind(Y,$fot(antidomain(zero)))]]) ).
cnf(refute_0_488,plain,
antidomain(zero) = one,
inference(resolve,[$cnf( $equal(one,antidomain(zero)) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))) = addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))),
introduced(tautology,[refl,[$fot(addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))))]]) ).
cnf(refute_0_490,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))) != addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60))))
| antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))) = addition(one,antidomain(multiplication(antidomain(X_60),domain(X_60)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))),addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_491,plain,
( antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))) = addition(one,antidomain(multiplication(antidomain(X_60),domain(X_60)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))),addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60))))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))) = addition(one,antidomain(multiplication(antidomain(X_60),domain(X_60)))),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_488,refute_0_491]) ).
cnf(refute_0_493,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))) != addition(one,antidomain(multiplication(antidomain(X_60),domain(X_60))))
| addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))) != antidomain(multiplication(antidomain(X_60),domain(X_60)))
| addition(one,antidomain(multiplication(antidomain(X_60),domain(X_60)))) = antidomain(multiplication(antidomain(X_60),domain(X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))),antidomain(multiplication(antidomain(X_60),domain(X_60)))) ),[0],$fot(addition(one,antidomain(multiplication(antidomain(X_60),domain(X_60)))))]]) ).
cnf(refute_0_494,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))) != antidomain(multiplication(antidomain(X_60),domain(X_60)))
| addition(one,antidomain(multiplication(antidomain(X_60),domain(X_60)))) = antidomain(multiplication(antidomain(X_60),domain(X_60))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))),addition(one,antidomain(multiplication(antidomain(X_60),domain(X_60))))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
addition(one,antidomain(multiplication(antidomain(X_60),domain(X_60)))) = antidomain(multiplication(antidomain(X_60),domain(X_60))),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(X_60),domain(X_60)))),antidomain(multiplication(antidomain(X_60),domain(X_60)))) )],[refute_0_458,refute_0_494]) ).
cnf(refute_0_496,plain,
addition(antidomain(X0),addition(domain(X0),c(domain(X0)))) = addition(one,c(domain(X0))),
inference(subst,[],[refute_0_64:[bind(X_169,$fot(c(domain(X0))))]]) ).
cnf(refute_0_497,plain,
addition(antidomain(antidomain(X_16)),antidomain(c(antidomain(X_16)))) = one,
inference(subst,[],[refute_0_272:[bind(X_172,$fot(antidomain(X_16)))]]) ).
cnf(refute_0_498,plain,
( addition(antidomain(antidomain(X_16)),antidomain(c(antidomain(X_16)))) != one
| c(antidomain(X_16)) != antidomain(c(X_16))
| addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(c(antidomain(X_16)))),one) ),[0,1,0],$fot(antidomain(c(X_16)))]]) ).
cnf(refute_0_499,plain,
( addition(antidomain(antidomain(X_16)),antidomain(c(antidomain(X_16)))) != one
| addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))) = one ),
inference(resolve,[$cnf( $equal(c(antidomain(X_16)),antidomain(c(X_16))) )],[refute_0_244,refute_0_498]) ).
cnf(refute_0_500,plain,
addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(c(antidomain(X_16)))),one) )],[refute_0_497,refute_0_499]) ).
cnf(refute_0_501,plain,
domain(antidomain(domain(X0))) = c(domain(X0)),
inference(subst,[],[refute_0_240:[bind(X_8,$fot(domain(X0)))]]) ).
cnf(refute_0_502,plain,
( antidomain(domain(X0)) != c(X0)
| domain(antidomain(domain(X0))) != c(domain(X0))
| domain(c(X0)) = c(domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(domain(X0))),c(domain(X0))) ),[0,0],$fot(c(X0))]]) ).
cnf(refute_0_503,plain,
( domain(antidomain(domain(X0))) != c(domain(X0))
| domain(c(X0)) = c(domain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_141,refute_0_502]) ).
cnf(refute_0_504,plain,
domain(c(X0)) = c(domain(X0)),
inference(resolve,[$cnf( $equal(domain(antidomain(domain(X0))),c(domain(X0))) )],[refute_0_501,refute_0_503]) ).
cnf(refute_0_505,plain,
domain(c(X_16)) = c(domain(X_16)),
inference(subst,[],[refute_0_504:[bind(X0,$fot(X_16))]]) ).
cnf(refute_0_506,plain,
antidomain(antidomain(c(X_16))) = domain(c(X_16)),
inference(subst,[],[refute_0_54:[bind(X0,$fot(c(X_16)))]]) ).
cnf(refute_0_507,plain,
( antidomain(antidomain(c(X_16))) != domain(c(X_16))
| domain(c(X_16)) != c(domain(X_16))
| antidomain(antidomain(c(X_16))) = c(domain(X_16)) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(antidomain(antidomain(c(X_16))))),bind(Y,$fot(domain(c(X_16)))),bind(Z,$fot(c(domain(X_16))))]]) ).
cnf(refute_0_508,plain,
( domain(c(X_16)) != c(domain(X_16))
| antidomain(antidomain(c(X_16))) = c(domain(X_16)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(c(X_16))),domain(c(X_16))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
antidomain(antidomain(c(X_16))) = c(domain(X_16)),
inference(resolve,[$cnf( $equal(domain(c(X_16)),c(domain(X_16))) )],[refute_0_505,refute_0_508]) ).
cnf(refute_0_510,plain,
addition(domain(X_16),antidomain(antidomain(c(X_16)))) = addition(domain(X_16),antidomain(antidomain(c(X_16)))),
introduced(tautology,[refl,[$fot(addition(domain(X_16),antidomain(antidomain(c(X_16)))))]]) ).
cnf(refute_0_511,plain,
( addition(domain(X_16),antidomain(antidomain(c(X_16)))) != addition(domain(X_16),antidomain(antidomain(c(X_16))))
| antidomain(antidomain(c(X_16))) != c(domain(X_16))
| addition(domain(X_16),antidomain(antidomain(c(X_16)))) = addition(domain(X_16),c(domain(X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_16),antidomain(antidomain(c(X_16)))),addition(domain(X_16),antidomain(antidomain(c(X_16))))) ),[1,1],$fot(c(domain(X_16)))]]) ).
cnf(refute_0_512,plain,
( antidomain(antidomain(c(X_16))) != c(domain(X_16))
| addition(domain(X_16),antidomain(antidomain(c(X_16)))) = addition(domain(X_16),c(domain(X_16))) ),
inference(resolve,[$cnf( $equal(addition(domain(X_16),antidomain(antidomain(c(X_16)))),addition(domain(X_16),antidomain(antidomain(c(X_16))))) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
addition(domain(X_16),antidomain(antidomain(c(X_16)))) = addition(domain(X_16),c(domain(X_16))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(c(X_16))),c(domain(X_16))) )],[refute_0_509,refute_0_512]) ).
cnf(refute_0_514,plain,
addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))) = addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))),
introduced(tautology,[refl,[$fot(addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))))]]) ).
cnf(refute_0_515,plain,
( addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))) != addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16))))
| antidomain(antidomain(X_16)) != domain(X_16)
| addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))) = addition(domain(X_16),antidomain(antidomain(c(X_16)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))),addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16))))) ),[1,0],$fot(domain(X_16))]]) ).
cnf(refute_0_516,plain,
( antidomain(antidomain(X_16)) != domain(X_16)
| addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))) = addition(domain(X_16),antidomain(antidomain(c(X_16)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))),addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16))))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))) = addition(domain(X_16),antidomain(antidomain(c(X_16)))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_16)),domain(X_16)) )],[refute_0_248,refute_0_516]) ).
cnf(refute_0_518,plain,
( addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))) != addition(domain(X_16),antidomain(antidomain(c(X_16))))
| addition(domain(X_16),antidomain(antidomain(c(X_16)))) != addition(domain(X_16),c(domain(X_16)))
| addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))) = addition(domain(X_16),c(domain(X_16))) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))))),bind(Y,$fot(addition(domain(X_16),antidomain(antidomain(c(X_16)))))),bind(Z,$fot(addition(domain(X_16),c(domain(X_16)))))]]) ).
cnf(refute_0_519,plain,
( addition(domain(X_16),antidomain(antidomain(c(X_16)))) != addition(domain(X_16),c(domain(X_16)))
| addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))) = addition(domain(X_16),c(domain(X_16))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))),addition(domain(X_16),antidomain(antidomain(c(X_16))))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))) = addition(domain(X_16),c(domain(X_16))),
inference(resolve,[$cnf( $equal(addition(domain(X_16),antidomain(antidomain(c(X_16)))),addition(domain(X_16),c(domain(X_16)))) )],[refute_0_513,refute_0_519]) ).
cnf(refute_0_521,plain,
( addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))) != addition(domain(X_16),c(domain(X_16)))
| addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))) != one
| addition(domain(X_16),c(domain(X_16))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))),one) ),[0],$fot(addition(domain(X_16),c(domain(X_16))))]]) ).
cnf(refute_0_522,plain,
( addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))) != one
| addition(domain(X_16),c(domain(X_16))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))),addition(domain(X_16),c(domain(X_16)))) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
addition(domain(X_16),c(domain(X_16))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(antidomain(c(X_16)))),one) )],[refute_0_500,refute_0_522]) ).
cnf(refute_0_524,plain,
addition(domain(X0),c(domain(X0))) = one,
inference(subst,[],[refute_0_523:[bind(X_16,$fot(X0))]]) ).
cnf(refute_0_525,plain,
( addition(antidomain(X0),addition(domain(X0),c(domain(X0)))) != addition(one,c(domain(X0)))
| addition(domain(X0),c(domain(X0))) != one
| addition(antidomain(X0),one) = addition(one,c(domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),c(domain(X0)))),addition(one,c(domain(X0)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_526,plain,
( addition(antidomain(X0),addition(domain(X0),c(domain(X0)))) != addition(one,c(domain(X0)))
| addition(antidomain(X0),one) = addition(one,c(domain(X0))) ),
inference(resolve,[$cnf( $equal(addition(domain(X0),c(domain(X0))),one) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
addition(antidomain(X0),one) = addition(one,c(domain(X0))),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),c(domain(X0)))),addition(one,c(domain(X0)))) )],[refute_0_496,refute_0_526]) ).
cnf(refute_0_528,plain,
addition(antidomain(X0),one) = addition(one,antidomain(X0)),
inference(subst,[],[refute_0_47:[bind(A,$fot(one)),bind(B,$fot(antidomain(X0)))]]) ).
cnf(refute_0_529,plain,
( addition(antidomain(X0),one) != addition(one,antidomain(X0))
| addition(antidomain(X0),one) != addition(one,c(domain(X0)))
| addition(one,antidomain(X0)) = addition(one,c(domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),one),addition(one,c(domain(X0)))) ),[0],$fot(addition(one,antidomain(X0)))]]) ).
cnf(refute_0_530,plain,
( addition(antidomain(X0),one) != addition(one,c(domain(X0)))
| addition(one,antidomain(X0)) = addition(one,c(domain(X0))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),one),addition(one,antidomain(X0))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
addition(one,c(domain(X0))) = one,
inference(subst,[],[refute_0_292:[bind(X_8,$fot(domain(X0)))]]) ).
cnf(refute_0_532,plain,
( addition(one,antidomain(X0)) != addition(one,c(domain(X0)))
| addition(one,c(domain(X0))) != one
| addition(one,antidomain(X0)) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(one,antidomain(X0)),one) ),[0],$fot(addition(one,c(domain(X0))))]]) ).
cnf(refute_0_533,plain,
( addition(one,antidomain(X0)) != addition(one,c(domain(X0)))
| addition(one,antidomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(one,c(domain(X0))),one) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
( addition(antidomain(X0),one) != addition(one,c(domain(X0)))
| addition(one,antidomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X0)),addition(one,c(domain(X0)))) )],[refute_0_530,refute_0_533]) ).
cnf(refute_0_535,plain,
addition(one,antidomain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),one),addition(one,c(domain(X0)))) )],[refute_0_527,refute_0_534]) ).
cnf(refute_0_536,plain,
addition(one,antidomain(multiplication(antidomain(X_60),domain(X_60)))) = one,
inference(subst,[],[refute_0_535:[bind(X0,$fot(multiplication(antidomain(X_60),domain(X_60))))]]) ).
cnf(refute_0_537,plain,
( addition(one,antidomain(multiplication(antidomain(X_60),domain(X_60)))) != antidomain(multiplication(antidomain(X_60),domain(X_60)))
| addition(one,antidomain(multiplication(antidomain(X_60),domain(X_60)))) != one
| one = antidomain(multiplication(antidomain(X_60),domain(X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,antidomain(multiplication(antidomain(X_60),domain(X_60)))),antidomain(multiplication(antidomain(X_60),domain(X_60)))) ),[0],$fot(one)]]) ).
cnf(refute_0_538,plain,
( addition(one,antidomain(multiplication(antidomain(X_60),domain(X_60)))) != antidomain(multiplication(antidomain(X_60),domain(X_60)))
| one = antidomain(multiplication(antidomain(X_60),domain(X_60))) ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(antidomain(X_60),domain(X_60)))),one) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
one = antidomain(multiplication(antidomain(X_60),domain(X_60))),
inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(antidomain(X_60),domain(X_60)))),antidomain(multiplication(antidomain(X_60),domain(X_60)))) )],[refute_0_495,refute_0_538]) ).
cnf(refute_0_540,plain,
one = antidomain(multiplication(antidomain(X_182),domain(X_182))),
inference(subst,[],[refute_0_539:[bind(X_60,$fot(X_182))]]) ).
cnf(refute_0_541,plain,
( one != antidomain(multiplication(antidomain(X_182),domain(X_182)))
| antidomain(multiplication(antidomain(X_182),domain(X_182))) = one ),
inference(subst,[],[refute_0_23:[bind(X,$fot(one)),bind(Y,$fot(antidomain(multiplication(antidomain(X_182),domain(X_182)))))]]) ).
cnf(refute_0_542,plain,
antidomain(multiplication(antidomain(X_182),domain(X_182))) = one,
inference(resolve,[$cnf( $equal(one,antidomain(multiplication(antidomain(X_182),domain(X_182)))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
( antidomain(multiplication(antidomain(X_182),domain(X_182))) != one
| multiplication(antidomain(multiplication(antidomain(X_182),domain(X_182))),multiplication(antidomain(X_182),domain(X_182))) != zero
| multiplication(one,multiplication(antidomain(X_182),domain(X_182))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(antidomain(X_182),domain(X_182))),multiplication(antidomain(X_182),domain(X_182))),zero) ),[0,0],$fot(one)]]) ).
cnf(refute_0_544,plain,
( multiplication(antidomain(multiplication(antidomain(X_182),domain(X_182))),multiplication(antidomain(X_182),domain(X_182))) != zero
| multiplication(one,multiplication(antidomain(X_182),domain(X_182))) = zero ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(antidomain(X_182),domain(X_182))),one) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
multiplication(one,multiplication(antidomain(X_182),domain(X_182))) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(antidomain(X_182),domain(X_182))),multiplication(antidomain(X_182),domain(X_182))),zero) )],[refute_0_453,refute_0_544]) ).
cnf(refute_0_546,plain,
multiplication(one,multiplication(antidomain(X_182),domain(X_182))) = multiplication(antidomain(X_182),domain(X_182)),
inference(subst,[],[refute_0_38:[bind(A,$fot(multiplication(antidomain(X_182),domain(X_182))))]]) ).
cnf(refute_0_547,plain,
( multiplication(one,multiplication(antidomain(X_182),domain(X_182))) != multiplication(antidomain(X_182),domain(X_182))
| multiplication(one,multiplication(antidomain(X_182),domain(X_182))) != zero
| multiplication(antidomain(X_182),domain(X_182)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,multiplication(antidomain(X_182),domain(X_182))),zero) ),[0],$fot(multiplication(antidomain(X_182),domain(X_182)))]]) ).
cnf(refute_0_548,plain,
( multiplication(one,multiplication(antidomain(X_182),domain(X_182))) != zero
| multiplication(antidomain(X_182),domain(X_182)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(antidomain(X_182),domain(X_182))),multiplication(antidomain(X_182),domain(X_182))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
multiplication(antidomain(X_182),domain(X_182)) = zero,
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(antidomain(X_182),domain(X_182))),zero) )],[refute_0_545,refute_0_548]) ).
cnf(refute_0_550,plain,
( multiplication(addition(X_277,antidomain(X_182)),domain(X_182)) != addition(multiplication(X_277,domain(X_182)),multiplication(antidomain(X_182),domain(X_182)))
| multiplication(antidomain(X_182),domain(X_182)) != zero
| multiplication(addition(X_277,antidomain(X_182)),domain(X_182)) = addition(multiplication(X_277,domain(X_182)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_277,antidomain(X_182)),domain(X_182)),addition(multiplication(X_277,domain(X_182)),multiplication(antidomain(X_182),domain(X_182)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_551,plain,
( multiplication(addition(X_277,antidomain(X_182)),domain(X_182)) != addition(multiplication(X_277,domain(X_182)),multiplication(antidomain(X_182),domain(X_182)))
| multiplication(addition(X_277,antidomain(X_182)),domain(X_182)) = addition(multiplication(X_277,domain(X_182)),zero) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_182),domain(X_182)),zero) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
multiplication(addition(X_277,antidomain(X_182)),domain(X_182)) = addition(multiplication(X_277,domain(X_182)),zero),
inference(resolve,[$cnf( $equal(multiplication(addition(X_277,antidomain(X_182)),domain(X_182)),addition(multiplication(X_277,domain(X_182)),multiplication(antidomain(X_182),domain(X_182)))) )],[refute_0_452,refute_0_551]) ).
cnf(refute_0_553,plain,
addition(multiplication(X_277,domain(X_182)),zero) = multiplication(X_277,domain(X_182)),
inference(subst,[],[refute_0_117:[bind(A,$fot(multiplication(X_277,domain(X_182))))]]) ).
cnf(refute_0_554,plain,
( addition(multiplication(X_277,domain(X_182)),zero) != multiplication(X_277,domain(X_182))
| multiplication(addition(X_277,antidomain(X_182)),domain(X_182)) != addition(multiplication(X_277,domain(X_182)),zero)
| multiplication(addition(X_277,antidomain(X_182)),domain(X_182)) = multiplication(X_277,domain(X_182)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_277,antidomain(X_182)),domain(X_182)),addition(multiplication(X_277,domain(X_182)),zero)) ),[1],$fot(multiplication(X_277,domain(X_182)))]]) ).
cnf(refute_0_555,plain,
( multiplication(addition(X_277,antidomain(X_182)),domain(X_182)) != addition(multiplication(X_277,domain(X_182)),zero)
| multiplication(addition(X_277,antidomain(X_182)),domain(X_182)) = multiplication(X_277,domain(X_182)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_277,domain(X_182)),zero),multiplication(X_277,domain(X_182))) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
multiplication(addition(X_277,antidomain(X_182)),domain(X_182)) = multiplication(X_277,domain(X_182)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_277,antidomain(X_182)),domain(X_182)),addition(multiplication(X_277,domain(X_182)),zero)) )],[refute_0_552,refute_0_555]) ).
cnf(refute_0_557,plain,
multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602)) = multiplication(X_2603,domain(X_2602)),
inference(subst,[],[refute_0_556:[bind(X_182,$fot(X_2602)),bind(X_277,$fot(X_2603))]]) ).
cnf(refute_0_558,plain,
( multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602)) != multiplication(X_2603,domain(X_2602))
| zero != multiplication(antidomain(multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))
| zero = multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(antidomain(multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))) ),[1,0,0],$fot(multiplication(X_2603,domain(X_2602)))]]) ).
cnf(refute_0_559,plain,
( zero != multiplication(antidomain(multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))
| zero = multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602)),multiplication(X_2603,domain(X_2602))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
zero = multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))),
inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))) )],[refute_0_451,refute_0_559]) ).
cnf(refute_0_561,plain,
domain(domain(X_2602)) = domain(X_2602),
inference(subst,[],[refute_0_320:[bind(X0,$fot(X_2602))]]) ).
cnf(refute_0_562,plain,
multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))) = multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))),
introduced(tautology,[refl,[$fot(multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))]]) ).
cnf(refute_0_563,plain,
( domain(domain(X_2602)) != domain(X_2602)
| multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))) != multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))
| multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))) = multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) ),[1,1],$fot(domain(X_2602))]]) ).
cnf(refute_0_564,plain,
( domain(domain(X_2602)) != domain(X_2602)
| multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))) = multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))) = multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602)),
inference(resolve,[$cnf( $equal(domain(domain(X_2602)),domain(X_2602)) )],[refute_0_561,refute_0_564]) ).
cnf(refute_0_566,plain,
( multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602)) != multiplication(X_2603,domain(X_2602))
| multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))) != multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602))
| multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))) = multiplication(X_2603,domain(X_2602)) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))),bind(Y,$fot(multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602)))),bind(Z,$fot(multiplication(X_2603,domain(X_2602))))]]) ).
cnf(refute_0_567,plain,
( multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602)) != multiplication(X_2603,domain(X_2602))
| multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))) = multiplication(X_2603,domain(X_2602)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602))) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))) = multiplication(X_2603,domain(X_2602)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_2603,antidomain(X_2602)),domain(X_2602)),multiplication(X_2603,domain(X_2602))) )],[refute_0_557,refute_0_567]) ).
cnf(refute_0_569,plain,
multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) = multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))))]]) ).
cnf(refute_0_570,plain,
( multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))) != multiplication(X_2603,domain(X_2602))
| multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) != multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))
| multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) = multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(X_2603,domain(X_2602))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))),multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))) ),[1,1],$fot(multiplication(X_2603,domain(X_2602)))]]) ).
cnf(refute_0_571,plain,
( multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))) != multiplication(X_2603,domain(X_2602))
| multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) = multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(X_2603,domain(X_2602))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))),multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) = multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(X_2603,domain(X_2602))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))),multiplication(X_2603,domain(X_2602))) )],[refute_0_568,refute_0_571]) ).
cnf(refute_0_573,plain,
c(multiplication(X_70,domain(X_71))) = multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71)))),
inference(subst,[],[refute_0_279:[bind(X_172,$fot(multiplication(X_70,domain(X_71))))]]) ).
cnf(refute_0_574,plain,
( c(multiplication(X_70,domain(X_71))) != antidomain(forward_diamond(X_70,X_71))
| c(multiplication(X_70,domain(X_71))) != multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71))))
| antidomain(forward_diamond(X_70,X_71)) = multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71)))) ),
introduced(tautology,[equality,[$cnf( $equal(c(multiplication(X_70,domain(X_71))),multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71))))) ),[0],$fot(antidomain(forward_diamond(X_70,X_71)))]]) ).
cnf(refute_0_575,plain,
( c(multiplication(X_70,domain(X_71))) != multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71))))
| antidomain(forward_diamond(X_70,X_71)) = multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71)))) ),
inference(resolve,[$cnf( $equal(c(multiplication(X_70,domain(X_71))),antidomain(forward_diamond(X_70,X_71))) )],[refute_0_374,refute_0_574]) ).
cnf(refute_0_576,plain,
antidomain(forward_diamond(X_70,X_71)) = multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71)))),
inference(resolve,[$cnf( $equal(c(multiplication(X_70,domain(X_71))),multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71))))) )],[refute_0_573,refute_0_575]) ).
cnf(refute_0_577,plain,
c(multiplication(X_70,domain(X_71))) = antidomain(multiplication(X_70,domain(X_71))),
inference(subst,[],[refute_0_309:[bind(X_284,$fot(multiplication(X_70,domain(X_71))))]]) ).
cnf(refute_0_578,plain,
( c(X_172) != multiplication(antidomain(X_172),c(X_172))
| multiplication(antidomain(X_172),c(X_172)) = c(X_172) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(c(X_172))),bind(Y,$fot(multiplication(antidomain(X_172),c(X_172))))]]) ).
cnf(refute_0_579,plain,
multiplication(antidomain(X_172),c(X_172)) = c(X_172),
inference(resolve,[$cnf( $equal(c(X_172),multiplication(antidomain(X_172),c(X_172))) )],[refute_0_279,refute_0_578]) ).
cnf(refute_0_580,plain,
multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71)))) = c(multiplication(X_70,domain(X_71))),
inference(subst,[],[refute_0_579:[bind(X_172,$fot(multiplication(X_70,domain(X_71))))]]) ).
cnf(refute_0_581,plain,
( c(multiplication(X_70,domain(X_71))) != antidomain(multiplication(X_70,domain(X_71)))
| multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71)))) != c(multiplication(X_70,domain(X_71)))
| multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71)))) = antidomain(multiplication(X_70,domain(X_71))) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71)))))),bind(Y,$fot(c(multiplication(X_70,domain(X_71))))),bind(Z,$fot(antidomain(multiplication(X_70,domain(X_71)))))]]) ).
cnf(refute_0_582,plain,
( c(multiplication(X_70,domain(X_71))) != antidomain(multiplication(X_70,domain(X_71)))
| multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71)))) = antidomain(multiplication(X_70,domain(X_71))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71)))),c(multiplication(X_70,domain(X_71)))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71)))) = antidomain(multiplication(X_70,domain(X_71))),
inference(resolve,[$cnf( $equal(c(multiplication(X_70,domain(X_71))),antidomain(multiplication(X_70,domain(X_71)))) )],[refute_0_577,refute_0_582]) ).
cnf(refute_0_584,plain,
( antidomain(forward_diamond(X_70,X_71)) != multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71))))
| multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71)))) != antidomain(multiplication(X_70,domain(X_71)))
| antidomain(forward_diamond(X_70,X_71)) = antidomain(multiplication(X_70,domain(X_71))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(forward_diamond(X_70,X_71)),antidomain(multiplication(X_70,domain(X_71)))) ),[0],$fot(multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71)))))]]) ).
cnf(refute_0_585,plain,
( antidomain(forward_diamond(X_70,X_71)) != multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71))))
| antidomain(forward_diamond(X_70,X_71)) = antidomain(multiplication(X_70,domain(X_71))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71)))),antidomain(multiplication(X_70,domain(X_71)))) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
antidomain(forward_diamond(X_70,X_71)) = antidomain(multiplication(X_70,domain(X_71))),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(X_70,X_71)),multiplication(antidomain(multiplication(X_70,domain(X_71))),c(multiplication(X_70,domain(X_71))))) )],[refute_0_576,refute_0_585]) ).
cnf(refute_0_587,plain,
( antidomain(forward_diamond(X_70,X_71)) != antidomain(multiplication(X_70,domain(X_71)))
| antidomain(multiplication(X_70,domain(X_71))) = antidomain(forward_diamond(X_70,X_71)) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(antidomain(forward_diamond(X_70,X_71)))),bind(Y,$fot(antidomain(multiplication(X_70,domain(X_71)))))]]) ).
cnf(refute_0_588,plain,
antidomain(multiplication(X_70,domain(X_71))) = antidomain(forward_diamond(X_70,X_71)),
inference(resolve,[$cnf( $equal(antidomain(forward_diamond(X_70,X_71)),antidomain(multiplication(X_70,domain(X_71)))) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
antidomain(multiplication(X_2603,domain(X_2602))) = antidomain(forward_diamond(X_2603,X_2602)),
inference(subst,[],[refute_0_588:[bind(X_70,$fot(X_2603)),bind(X_71,$fot(X_2602))]]) ).
cnf(refute_0_590,plain,
multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) = multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))))]]) ).
cnf(refute_0_591,plain,
( antidomain(multiplication(X_2603,domain(X_2602))) != antidomain(forward_diamond(X_2603,X_2602))
| multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) != multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))
| multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) = multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))),multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))) ),[1,0],$fot(antidomain(forward_diamond(X_2603,X_2602)))]]) ).
cnf(refute_0_592,plain,
( antidomain(multiplication(X_2603,domain(X_2602))) != antidomain(forward_diamond(X_2603,X_2602))
| multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) = multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))),multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) = multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X_2603,domain(X_2602))),antidomain(forward_diamond(X_2603,X_2602))) )],[refute_0_589,refute_0_592]) ).
cnf(refute_0_594,plain,
( multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) != multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(X_2603,domain(X_2602)))
| multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) != multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))
| multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) = multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(X_2603,domain(X_2602))) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))))),bind(Y,$fot(multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))))),bind(Z,$fot(multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(X_2603,domain(X_2602)))))]]) ).
cnf(refute_0_595,plain,
( multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) != multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(X_2603,domain(X_2602)))
| multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) = multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(X_2603,domain(X_2602))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))),multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) = multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(X_2603,domain(X_2602))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))),multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(X_2603,domain(X_2602)))) )],[refute_0_572,refute_0_595]) ).
cnf(refute_0_597,plain,
( multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))) != multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(X_2603,domain(X_2602)))
| zero != multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))
| zero = multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(X_2603,domain(X_2602))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))) ),[1],$fot(multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(X_2603,domain(X_2602))))]]) ).
cnf(refute_0_598,plain,
( zero != multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))
| zero = multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(X_2603,domain(X_2602))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602)))),multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(X_2603,domain(X_2602)))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
zero = multiplication(antidomain(forward_diamond(X_2603,X_2602)),multiplication(X_2603,domain(X_2602))),
inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(multiplication(X_2603,domain(X_2602))),multiplication(addition(X_2603,antidomain(X_2602)),domain(domain(X_2602))))) )],[refute_0_560,refute_0_598]) ).
cnf(refute_0_600,plain,
zero = multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_599:[bind(X_2602,$fot(skolemFOFtoCNF_X1)),bind(X_2603,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_601,plain,
( zero != multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))
| multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = zero ),
inference(subst,[],[refute_0_23:[bind(X,$fot(zero)),bind(Y,$fot(multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_602,plain,
multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = zero,
inference(resolve,[$cnf( $equal(zero,multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
( multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) != zero
| ~ leq(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))
| leq(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) ),[1],$fot(zero)]]) ).
cnf(refute_0_604,plain,
( ~ leq(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))
| leq(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
leq(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero),
inference(resolve,[$cnf( leq(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),multiplication(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) )],[refute_0_442,refute_0_604]) ).
cnf(refute_0_606,plain,
addition(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) = zero,
inference(resolve,[$cnf( leq(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) )],[refute_0_605,refute_0_1]) ).
cnf(refute_0_607,plain,
addition(zero,multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) = multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_121:[bind(A,$fot(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_608,plain,
multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) = addition(addition(X_667,X_668),multiplication(antidomain(X_668),addition(X_667,X_668))),
inference(subst,[],[refute_0_42:[bind(X_278,$fot(antidomain(X_668))),bind(X_279,$fot(addition(X_667,X_668)))]]) ).
cnf(refute_0_609,plain,
multiplication(antidomain(X_241),addition(X_240,X_241)) = addition(multiplication(antidomain(X_241),X_240),multiplication(antidomain(X_241),X_241)),
inference(subst,[],[refute_0_110:[bind(A,$fot(antidomain(X_241))),bind(B,$fot(X_240)),bind(C,$fot(X_241))]]) ).
cnf(refute_0_610,plain,
multiplication(antidomain(X_241),X_241) = zero,
inference(subst,[],[refute_0_112:[bind(X0,$fot(X_241))]]) ).
cnf(refute_0_611,plain,
( multiplication(antidomain(X_241),X_241) != zero
| multiplication(antidomain(X_241),addition(X_240,X_241)) != addition(multiplication(antidomain(X_241),X_240),multiplication(antidomain(X_241),X_241))
| multiplication(antidomain(X_241),addition(X_240,X_241)) = addition(multiplication(antidomain(X_241),X_240),zero) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_241),addition(X_240,X_241)),addition(multiplication(antidomain(X_241),X_240),multiplication(antidomain(X_241),X_241))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_612,plain,
( multiplication(antidomain(X_241),addition(X_240,X_241)) != addition(multiplication(antidomain(X_241),X_240),multiplication(antidomain(X_241),X_241))
| multiplication(antidomain(X_241),addition(X_240,X_241)) = addition(multiplication(antidomain(X_241),X_240),zero) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_241),X_241),zero) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
multiplication(antidomain(X_241),addition(X_240,X_241)) = addition(multiplication(antidomain(X_241),X_240),zero),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_241),addition(X_240,X_241)),addition(multiplication(antidomain(X_241),X_240),multiplication(antidomain(X_241),X_241))) )],[refute_0_609,refute_0_612]) ).
cnf(refute_0_614,plain,
addition(multiplication(antidomain(X_241),X_240),zero) = multiplication(antidomain(X_241),X_240),
inference(subst,[],[refute_0_117:[bind(A,$fot(multiplication(antidomain(X_241),X_240)))]]) ).
cnf(refute_0_615,plain,
( addition(multiplication(antidomain(X_241),X_240),zero) != multiplication(antidomain(X_241),X_240)
| multiplication(antidomain(X_241),addition(X_240,X_241)) != addition(multiplication(antidomain(X_241),X_240),zero)
| multiplication(antidomain(X_241),addition(X_240,X_241)) = multiplication(antidomain(X_241),X_240) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_241),addition(X_240,X_241)),addition(multiplication(antidomain(X_241),X_240),zero)) ),[1],$fot(multiplication(antidomain(X_241),X_240))]]) ).
cnf(refute_0_616,plain,
( multiplication(antidomain(X_241),addition(X_240,X_241)) != addition(multiplication(antidomain(X_241),X_240),zero)
| multiplication(antidomain(X_241),addition(X_240,X_241)) = multiplication(antidomain(X_241),X_240) ),
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(X_241),X_240),zero),multiplication(antidomain(X_241),X_240)) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
multiplication(antidomain(X_241),addition(X_240,X_241)) = multiplication(antidomain(X_241),X_240),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_241),addition(X_240,X_241)),addition(multiplication(antidomain(X_241),X_240),zero)) )],[refute_0_613,refute_0_616]) ).
cnf(refute_0_618,plain,
multiplication(antidomain(X_668),addition(X_667,X_668)) = multiplication(antidomain(X_668),X_667),
inference(subst,[],[refute_0_617:[bind(X_240,$fot(X_667)),bind(X_241,$fot(X_668))]]) ).
cnf(refute_0_619,plain,
( multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) != addition(addition(X_667,X_668),multiplication(antidomain(X_668),addition(X_667,X_668)))
| multiplication(antidomain(X_668),addition(X_667,X_668)) != multiplication(antidomain(X_668),X_667)
| multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) = addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)),addition(addition(X_667,X_668),multiplication(antidomain(X_668),addition(X_667,X_668)))) ),[1,1],$fot(multiplication(antidomain(X_668),X_667))]]) ).
cnf(refute_0_620,plain,
( multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) != addition(addition(X_667,X_668),multiplication(antidomain(X_668),addition(X_667,X_668)))
| multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) = addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_668),addition(X_667,X_668)),multiplication(antidomain(X_668),X_667)) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) = addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)),addition(addition(X_667,X_668),multiplication(antidomain(X_668),addition(X_667,X_668)))) )],[refute_0_608,refute_0_620]) ).
cnf(refute_0_622,plain,
multiplication(one,addition(X_667,X_668)) = addition(X_667,X_668),
inference(subst,[],[refute_0_38:[bind(A,$fot(addition(X_667,X_668)))]]) ).
cnf(refute_0_623,plain,
addition(one,antidomain(X_668)) = one,
inference(subst,[],[refute_0_535:[bind(X0,$fot(X_668))]]) ).
cnf(refute_0_624,plain,
multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) = multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)))]]) ).
cnf(refute_0_625,plain,
( addition(one,antidomain(X_668)) != one
| multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) != multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668))
| multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) = multiplication(one,addition(X_667,X_668)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)),multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_626,plain,
( addition(one,antidomain(X_668)) != one
| multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) = multiplication(one,addition(X_667,X_668)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)),multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668))) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) = multiplication(one,addition(X_667,X_668)),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X_668)),one) )],[refute_0_623,refute_0_626]) ).
cnf(refute_0_628,plain,
( multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) != multiplication(one,addition(X_667,X_668))
| multiplication(one,addition(X_667,X_668)) != addition(X_667,X_668)
| multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) = addition(X_667,X_668) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)))),bind(Y,$fot(multiplication(one,addition(X_667,X_668)))),bind(Z,$fot(addition(X_667,X_668)))]]) ).
cnf(refute_0_629,plain,
( multiplication(one,addition(X_667,X_668)) != addition(X_667,X_668)
| multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) = addition(X_667,X_668) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)),multiplication(one,addition(X_667,X_668))) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) = addition(X_667,X_668),
inference(resolve,[$cnf( $equal(multiplication(one,addition(X_667,X_668)),addition(X_667,X_668)) )],[refute_0_622,refute_0_629]) ).
cnf(refute_0_631,plain,
( multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) != addition(X_667,X_668)
| multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) != addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667))
| addition(X_667,X_668) = addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)),addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667))) ),[0],$fot(addition(X_667,X_668))]]) ).
cnf(refute_0_632,plain,
( multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) != addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667))
| addition(X_667,X_668) = addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)),addition(X_667,X_668)) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
( addition(A,addition(B,C)) != addition(addition(A,B),C)
| addition(addition(A,B),C) = addition(A,addition(B,C)) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(addition(A,addition(B,C)))),bind(Y,$fot(addition(addition(A,B),C)))]]) ).
cnf(refute_0_634,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(resolve,[$cnf( $equal(addition(A,addition(B,C)),addition(addition(A,B),C)) )],[refute_0_4,refute_0_633]) ).
cnf(refute_0_635,plain,
addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667)) = addition(X_667,addition(X_668,multiplication(antidomain(X_668),X_667))),
inference(subst,[],[refute_0_634:[bind(A,$fot(X_667)),bind(B,$fot(X_668)),bind(C,$fot(multiplication(antidomain(X_668),X_667)))]]) ).
cnf(refute_0_636,plain,
( addition(X_667,X_668) != addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667))
| addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667)) != addition(X_667,addition(X_668,multiplication(antidomain(X_668),X_667)))
| addition(X_667,X_668) = addition(X_667,addition(X_668,multiplication(antidomain(X_668),X_667))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_667,X_668),addition(X_667,addition(X_668,multiplication(antidomain(X_668),X_667)))) ),[0],$fot(addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667)))]]) ).
cnf(refute_0_637,plain,
( addition(X_667,X_668) != addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667))
| addition(X_667,X_668) = addition(X_667,addition(X_668,multiplication(antidomain(X_668),X_667))) ),
inference(resolve,[$cnf( $equal(addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667)),addition(X_667,addition(X_668,multiplication(antidomain(X_668),X_667)))) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
( multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)) != addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667))
| addition(X_667,X_668) = addition(X_667,addition(X_668,multiplication(antidomain(X_668),X_667))) ),
inference(resolve,[$cnf( $equal(addition(X_667,X_668),addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667))) )],[refute_0_632,refute_0_637]) ).
cnf(refute_0_639,plain,
addition(X_667,X_668) = addition(X_667,addition(X_668,multiplication(antidomain(X_668),X_667))),
inference(resolve,[$cnf( $equal(multiplication(addition(one,antidomain(X_668)),addition(X_667,X_668)),addition(addition(X_667,X_668),multiplication(antidomain(X_668),X_667))) )],[refute_0_621,refute_0_638]) ).
cnf(refute_0_640,plain,
addition(X_167,addition(X_168,X_169)) = addition(addition(X_167,X_168),X_169),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_167)),bind(B,$fot(X_168)),bind(C,$fot(X_169))]]) ).
cnf(refute_0_641,plain,
addition(X_168,X_167) = addition(X_167,X_168),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_168)),bind(B,$fot(X_167))]]) ).
cnf(refute_0_642,plain,
( addition(X_168,X_167) != addition(X_167,X_168)
| addition(X_167,X_168) = addition(X_168,X_167) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(addition(X_168,X_167))),bind(Y,$fot(addition(X_167,X_168)))]]) ).
cnf(refute_0_643,plain,
addition(X_167,X_168) = addition(X_168,X_167),
inference(resolve,[$cnf( $equal(addition(X_168,X_167),addition(X_167,X_168)) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
( addition(X_167,X_168) != addition(X_168,X_167)
| addition(X_167,addition(X_168,X_169)) != addition(addition(X_167,X_168),X_169)
| addition(X_167,addition(X_168,X_169)) = addition(addition(X_168,X_167),X_169) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_167,addition(X_168,X_169)),addition(addition(X_167,X_168),X_169)) ),[1,0],$fot(addition(X_168,X_167))]]) ).
cnf(refute_0_645,plain,
( addition(X_167,addition(X_168,X_169)) != addition(addition(X_167,X_168),X_169)
| addition(X_167,addition(X_168,X_169)) = addition(addition(X_168,X_167),X_169) ),
inference(resolve,[$cnf( $equal(addition(X_167,X_168),addition(X_168,X_167)) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
addition(X_167,addition(X_168,X_169)) = addition(addition(X_168,X_167),X_169),
inference(resolve,[$cnf( $equal(addition(X_167,addition(X_168,X_169)),addition(addition(X_167,X_168),X_169)) )],[refute_0_640,refute_0_645]) ).
cnf(refute_0_647,plain,
addition(addition(X_168,X_167),X_169) = addition(X_168,addition(X_167,X_169)),
inference(subst,[],[refute_0_634:[bind(A,$fot(X_168)),bind(B,$fot(X_167)),bind(C,$fot(X_169))]]) ).
cnf(refute_0_648,plain,
( addition(X_167,addition(X_168,X_169)) != addition(addition(X_168,X_167),X_169)
| addition(addition(X_168,X_167),X_169) != addition(X_168,addition(X_167,X_169))
| addition(X_167,addition(X_168,X_169)) = addition(X_168,addition(X_167,X_169)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_167,addition(X_168,X_169)),addition(X_168,addition(X_167,X_169))) ),[0],$fot(addition(addition(X_168,X_167),X_169))]]) ).
cnf(refute_0_649,plain,
( addition(X_167,addition(X_168,X_169)) != addition(addition(X_168,X_167),X_169)
| addition(X_167,addition(X_168,X_169)) = addition(X_168,addition(X_167,X_169)) ),
inference(resolve,[$cnf( $equal(addition(addition(X_168,X_167),X_169),addition(X_168,addition(X_167,X_169))) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
addition(X_167,addition(X_168,X_169)) = addition(X_168,addition(X_167,X_169)),
inference(resolve,[$cnf( $equal(addition(X_167,addition(X_168,X_169)),addition(addition(X_168,X_167),X_169)) )],[refute_0_646,refute_0_649]) ).
cnf(refute_0_651,plain,
addition(X_167,addition(X_168,multiplication(antidomain(X_2113),X_167))) = addition(X_168,addition(X_167,multiplication(antidomain(X_2113),X_167))),
inference(subst,[],[refute_0_650:[bind(X_169,$fot(multiplication(antidomain(X_2113),X_167)))]]) ).
cnf(refute_0_652,plain,
multiplication(addition(one,multiplication(one,antidomain(X0))),X_298) = addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)),
inference(subst,[],[refute_0_42:[bind(X_278,$fot(multiplication(one,antidomain(X0)))),bind(X_279,$fot(X_298))]]) ).
cnf(refute_0_653,plain,
multiplication(X_247,addition(one,antidomain(X0))) = addition(X_247,multiplication(X_247,antidomain(X0))),
inference(subst,[],[refute_0_150:[bind(X_239,$fot(X_247)),bind(X_241,$fot(antidomain(X0)))]]) ).
cnf(refute_0_654,plain,
( addition(one,antidomain(X0)) != one
| multiplication(X_247,addition(one,antidomain(X0))) != addition(X_247,multiplication(X_247,antidomain(X0)))
| multiplication(X_247,one) = addition(X_247,multiplication(X_247,antidomain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_247,addition(one,antidomain(X0))),addition(X_247,multiplication(X_247,antidomain(X0)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_655,plain,
( multiplication(X_247,addition(one,antidomain(X0))) != addition(X_247,multiplication(X_247,antidomain(X0)))
| multiplication(X_247,one) = addition(X_247,multiplication(X_247,antidomain(X0))) ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X0)),one) )],[refute_0_535,refute_0_654]) ).
cnf(refute_0_656,plain,
multiplication(X_247,one) = addition(X_247,multiplication(X_247,antidomain(X0))),
inference(resolve,[$cnf( $equal(multiplication(X_247,addition(one,antidomain(X0))),addition(X_247,multiplication(X_247,antidomain(X0)))) )],[refute_0_653,refute_0_655]) ).
cnf(refute_0_657,plain,
multiplication(X_247,one) = X_247,
inference(subst,[],[refute_0_146:[bind(A,$fot(X_247))]]) ).
cnf(refute_0_658,plain,
( multiplication(X_247,one) != X_247
| multiplication(X_247,one) != addition(X_247,multiplication(X_247,antidomain(X0)))
| X_247 = addition(X_247,multiplication(X_247,antidomain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_247,one),addition(X_247,multiplication(X_247,antidomain(X0)))) ),[0],$fot(X_247)]]) ).
cnf(refute_0_659,plain,
( multiplication(X_247,one) != addition(X_247,multiplication(X_247,antidomain(X0)))
| X_247 = addition(X_247,multiplication(X_247,antidomain(X0))) ),
inference(resolve,[$cnf( $equal(multiplication(X_247,one),X_247) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
X_247 = addition(X_247,multiplication(X_247,antidomain(X0))),
inference(resolve,[$cnf( $equal(multiplication(X_247,one),addition(X_247,multiplication(X_247,antidomain(X0)))) )],[refute_0_656,refute_0_659]) ).
cnf(refute_0_661,plain,
one = addition(one,multiplication(one,antidomain(X0))),
inference(subst,[],[refute_0_660:[bind(X_247,$fot(one))]]) ).
cnf(refute_0_662,plain,
( one != addition(one,multiplication(one,antidomain(X0)))
| addition(one,multiplication(one,antidomain(X0))) = one ),
inference(subst,[],[refute_0_23:[bind(X,$fot(one)),bind(Y,$fot(addition(one,multiplication(one,antidomain(X0)))))]]) ).
cnf(refute_0_663,plain,
addition(one,multiplication(one,antidomain(X0))) = one,
inference(resolve,[$cnf( $equal(one,addition(one,multiplication(one,antidomain(X0)))) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
( addition(one,multiplication(one,antidomain(X0))) != one
| multiplication(addition(one,multiplication(one,antidomain(X0))),X_298) != addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298))
| multiplication(one,X_298) = addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,multiplication(one,antidomain(X0))),X_298),addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_665,plain,
( multiplication(addition(one,multiplication(one,antidomain(X0))),X_298) != addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298))
| multiplication(one,X_298) = addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(one,antidomain(X0))),one) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
multiplication(one,X_298) = addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)),
inference(resolve,[$cnf( $equal(multiplication(addition(one,multiplication(one,antidomain(X0))),X_298),addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298))) )],[refute_0_652,refute_0_665]) ).
cnf(refute_0_667,plain,
( multiplication(one,X_298) != X_298
| multiplication(one,X_298) != addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298))
| X_298 = addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,X_298),addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298))) ),[0],$fot(X_298)]]) ).
cnf(refute_0_668,plain,
( multiplication(one,X_298) != addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298))
| X_298 = addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_298),X_298) )],[refute_0_79,refute_0_667]) ).
cnf(refute_0_669,plain,
multiplication(one,multiplication(antidomain(X0),X_298)) = multiplication(antidomain(X0),X_298),
inference(subst,[],[refute_0_38:[bind(A,$fot(multiplication(antidomain(X0),X_298)))]]) ).
cnf(refute_0_670,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_23:[bind(X,$fot(multiplication(A,multiplication(B,C)))),bind(Y,$fot(multiplication(multiplication(A,B),C)))]]) ).
cnf(refute_0_671,plain,
multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,multiplication(B,C)),multiplication(multiplication(A,B),C)) )],[refute_0_97,refute_0_670]) ).
cnf(refute_0_672,plain,
multiplication(multiplication(one,antidomain(X0)),X_298) = multiplication(one,multiplication(antidomain(X0),X_298)),
inference(subst,[],[refute_0_671:[bind(A,$fot(one)),bind(B,$fot(antidomain(X0))),bind(C,$fot(X_298))]]) ).
cnf(refute_0_673,plain,
( multiplication(multiplication(one,antidomain(X0)),X_298) != multiplication(one,multiplication(antidomain(X0),X_298))
| multiplication(one,multiplication(antidomain(X0),X_298)) != multiplication(antidomain(X0),X_298)
| multiplication(multiplication(one,antidomain(X0)),X_298) = multiplication(antidomain(X0),X_298) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(multiplication(multiplication(one,antidomain(X0)),X_298))),bind(Y,$fot(multiplication(one,multiplication(antidomain(X0),X_298)))),bind(Z,$fot(multiplication(antidomain(X0),X_298)))]]) ).
cnf(refute_0_674,plain,
( multiplication(one,multiplication(antidomain(X0),X_298)) != multiplication(antidomain(X0),X_298)
| multiplication(multiplication(one,antidomain(X0)),X_298) = multiplication(antidomain(X0),X_298) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(one,antidomain(X0)),X_298),multiplication(one,multiplication(antidomain(X0),X_298))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
multiplication(multiplication(one,antidomain(X0)),X_298) = multiplication(antidomain(X0),X_298),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(antidomain(X0),X_298)),multiplication(antidomain(X0),X_298)) )],[refute_0_669,refute_0_674]) ).
cnf(refute_0_676,plain,
addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)) = addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)),
introduced(tautology,[refl,[$fot(addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)))]]) ).
cnf(refute_0_677,plain,
( addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)) != addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298))
| multiplication(multiplication(one,antidomain(X0)),X_298) != multiplication(antidomain(X0),X_298)
| addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)) = addition(X_298,multiplication(antidomain(X0),X_298)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)),addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298))) ),[1,1],$fot(multiplication(antidomain(X0),X_298))]]) ).
cnf(refute_0_678,plain,
( multiplication(multiplication(one,antidomain(X0)),X_298) != multiplication(antidomain(X0),X_298)
| addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)) = addition(X_298,multiplication(antidomain(X0),X_298)) ),
inference(resolve,[$cnf( $equal(addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)),addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)) = addition(X_298,multiplication(antidomain(X0),X_298)),
inference(resolve,[$cnf( $equal(multiplication(multiplication(one,antidomain(X0)),X_298),multiplication(antidomain(X0),X_298)) )],[refute_0_675,refute_0_678]) ).
cnf(refute_0_680,plain,
( X_298 != addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298))
| addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)) != addition(X_298,multiplication(antidomain(X0),X_298))
| X_298 = addition(X_298,multiplication(antidomain(X0),X_298)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_298,addition(X_298,multiplication(antidomain(X0),X_298))) ),[0],$fot(addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)))]]) ).
cnf(refute_0_681,plain,
( X_298 != addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298))
| X_298 = addition(X_298,multiplication(antidomain(X0),X_298)) ),
inference(resolve,[$cnf( $equal(addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298)),addition(X_298,multiplication(antidomain(X0),X_298))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
( multiplication(one,X_298) != addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298))
| X_298 = addition(X_298,multiplication(antidomain(X0),X_298)) ),
inference(resolve,[$cnf( $equal(X_298,addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298))) )],[refute_0_668,refute_0_681]) ).
cnf(refute_0_683,plain,
X_298 = addition(X_298,multiplication(antidomain(X0),X_298)),
inference(resolve,[$cnf( $equal(multiplication(one,X_298),addition(X_298,multiplication(multiplication(one,antidomain(X0)),X_298))) )],[refute_0_666,refute_0_682]) ).
cnf(refute_0_684,plain,
X_167 = addition(X_167,multiplication(antidomain(X_2113),X_167)),
inference(subst,[],[refute_0_683:[bind(X0,$fot(X_2113)),bind(X_298,$fot(X_167))]]) ).
cnf(refute_0_685,plain,
( X_167 != addition(X_167,multiplication(antidomain(X_2113),X_167))
| addition(X_167,multiplication(antidomain(X_2113),X_167)) = X_167 ),
inference(subst,[],[refute_0_23:[bind(X,$fot(X_167)),bind(Y,$fot(addition(X_167,multiplication(antidomain(X_2113),X_167))))]]) ).
cnf(refute_0_686,plain,
addition(X_167,multiplication(antidomain(X_2113),X_167)) = X_167,
inference(resolve,[$cnf( $equal(X_167,addition(X_167,multiplication(antidomain(X_2113),X_167))) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
( addition(X_167,addition(X_168,multiplication(antidomain(X_2113),X_167))) != addition(X_168,addition(X_167,multiplication(antidomain(X_2113),X_167)))
| addition(X_167,multiplication(antidomain(X_2113),X_167)) != X_167
| addition(X_167,addition(X_168,multiplication(antidomain(X_2113),X_167))) = addition(X_168,X_167) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_167,addition(X_168,multiplication(antidomain(X_2113),X_167))),addition(X_168,addition(X_167,multiplication(antidomain(X_2113),X_167)))) ),[1,1],$fot(X_167)]]) ).
cnf(refute_0_688,plain,
( addition(X_167,addition(X_168,multiplication(antidomain(X_2113),X_167))) != addition(X_168,addition(X_167,multiplication(antidomain(X_2113),X_167)))
| addition(X_167,addition(X_168,multiplication(antidomain(X_2113),X_167))) = addition(X_168,X_167) ),
inference(resolve,[$cnf( $equal(addition(X_167,multiplication(antidomain(X_2113),X_167)),X_167) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
addition(X_167,addition(X_168,multiplication(antidomain(X_2113),X_167))) = addition(X_168,X_167),
inference(resolve,[$cnf( $equal(addition(X_167,addition(X_168,multiplication(antidomain(X_2113),X_167))),addition(X_168,addition(X_167,multiplication(antidomain(X_2113),X_167)))) )],[refute_0_651,refute_0_688]) ).
cnf(refute_0_690,plain,
addition(X_667,addition(X_668,multiplication(antidomain(X_668),X_667))) = addition(X_668,X_667),
inference(subst,[],[refute_0_689:[bind(X_167,$fot(X_667)),bind(X_168,$fot(X_668)),bind(X_2113,$fot(X_668))]]) ).
cnf(refute_0_691,plain,
( addition(X_667,X_668) != addition(X_667,addition(X_668,multiplication(antidomain(X_668),X_667)))
| addition(X_667,addition(X_668,multiplication(antidomain(X_668),X_667))) != addition(X_668,X_667)
| addition(X_667,X_668) = addition(X_668,X_667) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(X_667,X_668),addition(X_668,X_667)) ),[0],$fot(addition(X_667,addition(X_668,multiplication(antidomain(X_668),X_667))))]]) ).
cnf(refute_0_692,plain,
( addition(X_667,X_668) != addition(X_667,addition(X_668,multiplication(antidomain(X_668),X_667)))
| addition(X_667,X_668) = addition(X_668,X_667) ),
inference(resolve,[$cnf( $equal(addition(X_667,addition(X_668,multiplication(antidomain(X_668),X_667))),addition(X_668,X_667)) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
addition(X_667,X_668) = addition(X_668,X_667),
inference(resolve,[$cnf( $equal(addition(X_667,X_668),addition(X_667,addition(X_668,multiplication(antidomain(X_668),X_667)))) )],[refute_0_639,refute_0_692]) ).
cnf(refute_0_694,plain,
( addition(X_667,X_668) != addition(X_668,X_667)
| addition(X_668,X_667) = addition(X_667,X_668) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(addition(X_667,X_668))),bind(Y,$fot(addition(X_668,X_667)))]]) ).
cnf(refute_0_695,plain,
addition(X_668,X_667) = addition(X_667,X_668),
inference(resolve,[$cnf( $equal(addition(X_667,X_668),addition(X_668,X_667)) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
addition(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) = addition(zero,multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))),
inference(subst,[],[refute_0_695:[bind(X_667,$fot(zero)),bind(X_668,$fot(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_697,plain,
( addition(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) != addition(zero,multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))
| addition(zero,multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) != multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))
| addition(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) = multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) ),
inference(subst,[],[refute_0_204:[bind(X,$fot(addition(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero))),bind(Y,$fot(addition(zero,multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))),bind(Z,$fot(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_698,plain,
( addition(zero,multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) != multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))
| addition(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) = multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero),addition(zero,multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
addition(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) = multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))),multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) )],[refute_0_607,refute_0_698]) ).
cnf(refute_0_700,plain,
( addition(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) != multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))
| addition(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) != zero
| multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero),zero) ),[0],$fot(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_701,plain,
( addition(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) != zero
| multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = zero ),
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero),multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = zero,
inference(resolve,[$cnf( $equal(addition(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero),zero) )],[refute_0_606,refute_0_701]) ).
cnf(refute_0_703,plain,
multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) != zero,
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_704,plain,
$false,
inference(resolve,[$cnf( $equal(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) )],[refute_0_702,refute_0_703]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE099+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 15:19:08 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 23.33/23.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.33/23.52
% 23.33/23.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 23.41/23.58
%------------------------------------------------------------------------------