TSTP Solution File: KLE100+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE100+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 02:15:16 EDT 2022
% Result : Theorem 77.46s 77.65s
% Output : CNFRefutation 77.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 172
% Syntax : Number of formulae : 717 ( 375 unt; 0 def)
% Number of atoms : 1206 (1205 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 981 ( 492 ~; 484 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 858 ( 21 sgn 84 !; 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_right_identity,axiom,
! [A] : multiplication(A,one) = A ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A ).
fof(right_distributivity,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ).
fof(left_distributivity,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ).
fof(domain1,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero ).
fof(domain2,axiom,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ).
fof(domain3,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one ).
fof(domain4,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)) ).
fof(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] :
( multiplication(antidomain(X2),multiplication(X0,domain(X1))) = zero
=> addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2) ) ).
fof(subgoal_0,plain,
! [X0,X1,X2] :
( multiplication(antidomain(X2),multiplication(X0,domain(X1))) = zero
=> addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1,X2] :
( multiplication(antidomain(X2),multiplication(X0,domain(X1))) = zero
=> addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[right_distributivity]) ).
fof(normalize_0_1,plain,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_3,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(canonicalize,[],[domain_difference]) ).
fof(normalize_0_5,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_7,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_9,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_11,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[domain4]) ).
fof(normalize_0_13,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(canonicalize,[],[complement]) ).
fof(normalize_0_15,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_17,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_19,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_21,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,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_23,plain,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
? [X0,X1,X2] :
( addition(forward_diamond(X0,domain(X1)),domain(X2)) != domain(X2)
& multiplication(antidomain(X2),multiplication(X0,domain(X1))) = zero ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_25,plain,
( addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) != domain(skolemFOFtoCNF_X2)
& multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = zero ),
inference(skolemize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = zero,
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[forward_diamond]) ).
fof(normalize_0_28,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_30,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_32,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) != domain(skolemFOFtoCNF_X2),
inference(conjunct,[],[normalize_0_25]) ).
cnf(refute_0_0,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
multiplication(X_141,addition(one,X_143)) = addition(multiplication(X_141,one),multiplication(X_141,X_143)),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_141)),bind(B,$fot(one)),bind(C,$fot(X_143))]]) ).
cnf(refute_0_2,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
multiplication(X_141,one) = X_141,
inference(subst,[],[refute_0_2:[bind(A,$fot(X_141))]]) ).
cnf(refute_0_4,plain,
( multiplication(X_141,addition(one,X_143)) != addition(multiplication(X_141,one),multiplication(X_141,X_143))
| multiplication(X_141,one) != X_141
| multiplication(X_141,addition(one,X_143)) = addition(X_141,multiplication(X_141,X_143)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_141,addition(one,X_143)),addition(multiplication(X_141,one),multiplication(X_141,X_143))) ),[1,0],$fot(X_141)]]) ).
cnf(refute_0_5,plain,
( multiplication(X_141,addition(one,X_143)) != addition(multiplication(X_141,one),multiplication(X_141,X_143))
| multiplication(X_141,addition(one,X_143)) = addition(X_141,multiplication(X_141,X_143)) ),
inference(resolve,[$cnf( $equal(multiplication(X_141,one),X_141) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
multiplication(X_141,addition(one,X_143)) = addition(X_141,multiplication(X_141,X_143)),
inference(resolve,[$cnf( $equal(multiplication(X_141,addition(one,X_143)),addition(multiplication(X_141,one),multiplication(X_141,X_143))) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
multiplication(domain(X0),addition(one,antidomain(X1))) = addition(domain(X0),multiplication(domain(X0),antidomain(X1))),
inference(subst,[],[refute_0_6:[bind(X_141,$fot(domain(X0))),bind(X_143,$fot(antidomain(X1)))]]) ).
cnf(refute_0_8,plain,
domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_9,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_10,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_11,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( domain_difference(X0,X1) != multiplication(domain(X0),antidomain(X1))
| multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(domain_difference(X0,X1))),bind(Y,$fot(multiplication(domain(X0),antidomain(X1))))]]) ).
cnf(refute_0_13,plain,
multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1),
inference(resolve,[$cnf( $equal(domain_difference(X0,X1),multiplication(domain(X0),antidomain(X1))) )],[refute_0_8,refute_0_12]) ).
cnf(refute_0_14,plain,
( multiplication(domain(X0),addition(one,antidomain(X1))) != addition(domain(X0),multiplication(domain(X0),antidomain(X1)))
| multiplication(domain(X0),antidomain(X1)) != domain_difference(X0,X1)
| multiplication(domain(X0),addition(one,antidomain(X1))) = addition(domain(X0),domain_difference(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X0),addition(one,antidomain(X1))),addition(domain(X0),multiplication(domain(X0),antidomain(X1)))) ),[1,1],$fot(domain_difference(X0,X1))]]) ).
cnf(refute_0_15,plain,
( multiplication(domain(X0),addition(one,antidomain(X1))) != addition(domain(X0),multiplication(domain(X0),antidomain(X1)))
| multiplication(domain(X0),addition(one,antidomain(X1))) = addition(domain(X0),domain_difference(X0,X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),antidomain(X1)),domain_difference(X0,X1)) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
multiplication(domain(X0),addition(one,antidomain(X1))) = addition(domain(X0),domain_difference(X0,X1)),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),addition(one,antidomain(X1))),addition(domain(X0),multiplication(domain(X0),antidomain(X1)))) )],[refute_0_7,refute_0_15]) ).
cnf(refute_0_17,plain,
multiplication(domain(X0),one) = domain(X0),
inference(subst,[],[refute_0_2:[bind(A,$fot(domain(X0)))]]) ).
cnf(refute_0_18,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_19,plain,
addition(c(X_13),addition(domain(X_13),X_157)) = addition(addition(c(X_13),domain(X_13)),X_157),
inference(subst,[],[refute_0_18:[bind(A,$fot(c(X_13))),bind(B,$fot(domain(X_13))),bind(C,$fot(X_157))]]) ).
cnf(refute_0_20,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_21,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_22,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_23,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(subst,[],[refute_0_23:[bind(A,$fot(antidomain(X0))),bind(B,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_25,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != addition(antidomain(X0),antidomain(antidomain(X0)))
| addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) ),[0],$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_26,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) )],[refute_0_20,refute_0_26]) ).
cnf(refute_0_28,plain,
domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_29,plain,
( domain(X0) != antidomain(antidomain(X0))
| antidomain(antidomain(X0)) = domain(X0) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(domain(X0))),bind(Y,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_30,plain,
antidomain(antidomain(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(domain(X0),antidomain(antidomain(X0))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(antidomain(X0))),
introduced(tautology,[refl,[$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_32,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_33,plain,
( antidomain(antidomain(X0)) != domain(X0)
| addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) ),[0],$fot(addition(antidomain(X0),domain(X0)))]]) ).
cnf(refute_0_36,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),domain(X0))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
addition(antidomain(X0),domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) )],[refute_0_27,refute_0_36]) ).
cnf(refute_0_38,plain,
addition(antidomain(antidomain(X_13)),domain(antidomain(X_13))) = one,
inference(subst,[],[refute_0_37:[bind(X0,$fot(antidomain(X_13)))]]) ).
cnf(refute_0_39,plain,
domain(X_13) = antidomain(antidomain(X_13)),
inference(subst,[],[refute_0_28:[bind(X0,$fot(X_13))]]) ).
cnf(refute_0_40,plain,
( domain(X_13) != antidomain(antidomain(X_13))
| antidomain(antidomain(X_13)) = domain(X_13) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(domain(X_13))),bind(Y,$fot(antidomain(antidomain(X_13))))]]) ).
cnf(refute_0_41,plain,
antidomain(antidomain(X_13)) = domain(X_13),
inference(resolve,[$cnf( $equal(domain(X_13),antidomain(antidomain(X_13))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
( addition(antidomain(antidomain(X_13)),domain(antidomain(X_13))) != one
| antidomain(antidomain(X_13)) != domain(X_13)
| addition(domain(X_13),domain(antidomain(X_13))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_13)),domain(antidomain(X_13))),one) ),[0,0],$fot(domain(X_13))]]) ).
cnf(refute_0_43,plain,
( addition(antidomain(antidomain(X_13)),domain(antidomain(X_13))) != one
| addition(domain(X_13),domain(antidomain(X_13))) = one ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_13)),domain(X_13)) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
addition(domain(X_13),domain(antidomain(X_13))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_13)),domain(antidomain(X_13))),one) )],[refute_0_38,refute_0_43]) ).
cnf(refute_0_45,plain,
addition(domain(X_13),c(X_13)) = addition(c(X_13),domain(X_13)),
inference(subst,[],[refute_0_23:[bind(A,$fot(c(X_13))),bind(B,$fot(domain(X_13)))]]) ).
cnf(refute_0_46,plain,
domain(antidomain(X_13)) = antidomain(antidomain(antidomain(X_13))),
inference(subst,[],[refute_0_28:[bind(X0,$fot(antidomain(X_13)))]]) ).
cnf(refute_0_47,plain,
( antidomain(antidomain(X_13)) != domain(X_13)
| domain(antidomain(X_13)) != antidomain(antidomain(antidomain(X_13)))
| domain(antidomain(X_13)) = antidomain(domain(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_13)),antidomain(antidomain(antidomain(X_13)))) ),[1,0],$fot(domain(X_13))]]) ).
cnf(refute_0_48,plain,
( domain(antidomain(X_13)) != antidomain(antidomain(antidomain(X_13)))
| domain(antidomain(X_13)) = antidomain(domain(X_13)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_13)),domain(X_13)) )],[refute_0_41,refute_0_47]) ).
cnf(refute_0_49,plain,
domain(antidomain(X_13)) = antidomain(domain(X_13)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_13)),antidomain(antidomain(antidomain(X_13)))) )],[refute_0_46,refute_0_48]) ).
cnf(refute_0_50,plain,
c(X0) = antidomain(domain(X0)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_51,plain,
( c(X0) != antidomain(domain(X0))
| antidomain(domain(X0)) = c(X0) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(c(X0))),bind(Y,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_52,plain,
antidomain(domain(X0)) = c(X0),
inference(resolve,[$cnf( $equal(c(X0),antidomain(domain(X0))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
antidomain(domain(X_13)) = c(X_13),
inference(subst,[],[refute_0_52:[bind(X0,$fot(X_13))]]) ).
cnf(refute_0_54,plain,
( antidomain(domain(X_13)) != c(X_13)
| domain(antidomain(X_13)) != antidomain(domain(X_13))
| domain(antidomain(X_13)) = c(X_13) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_13)),antidomain(domain(X_13))) ),[1],$fot(c(X_13))]]) ).
cnf(refute_0_55,plain,
( domain(antidomain(X_13)) != antidomain(domain(X_13))
| domain(antidomain(X_13)) = c(X_13) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_13)),c(X_13)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
domain(antidomain(X_13)) = c(X_13),
inference(resolve,[$cnf( $equal(domain(antidomain(X_13)),antidomain(domain(X_13))) )],[refute_0_49,refute_0_55]) ).
cnf(refute_0_57,plain,
addition(domain(X_13),domain(antidomain(X_13))) = addition(domain(X_13),domain(antidomain(X_13))),
introduced(tautology,[refl,[$fot(addition(domain(X_13),domain(antidomain(X_13))))]]) ).
cnf(refute_0_58,plain,
( addition(domain(X_13),domain(antidomain(X_13))) != addition(domain(X_13),domain(antidomain(X_13)))
| domain(antidomain(X_13)) != c(X_13)
| addition(domain(X_13),domain(antidomain(X_13))) = addition(domain(X_13),c(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_13),domain(antidomain(X_13))),addition(domain(X_13),domain(antidomain(X_13)))) ),[1,1],$fot(c(X_13))]]) ).
cnf(refute_0_59,plain,
( domain(antidomain(X_13)) != c(X_13)
| addition(domain(X_13),domain(antidomain(X_13))) = addition(domain(X_13),c(X_13)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_13),domain(antidomain(X_13))),addition(domain(X_13),domain(antidomain(X_13)))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
addition(domain(X_13),domain(antidomain(X_13))) = addition(domain(X_13),c(X_13)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_13)),c(X_13)) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_62,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_11,refute_0_61]) ).
cnf(refute_0_63,plain,
( addition(domain(X_13),c(X_13)) != addition(c(X_13),domain(X_13))
| addition(domain(X_13),domain(antidomain(X_13))) != addition(domain(X_13),c(X_13))
| addition(domain(X_13),domain(antidomain(X_13))) = addition(c(X_13),domain(X_13)) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(addition(domain(X_13),domain(antidomain(X_13))))),bind(Y,$fot(addition(domain(X_13),c(X_13)))),bind(Z,$fot(addition(c(X_13),domain(X_13))))]]) ).
cnf(refute_0_64,plain,
( addition(domain(X_13),c(X_13)) != addition(c(X_13),domain(X_13))
| addition(domain(X_13),domain(antidomain(X_13))) = addition(c(X_13),domain(X_13)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_13),domain(antidomain(X_13))),addition(domain(X_13),c(X_13))) )],[refute_0_60,refute_0_63]) ).
cnf(refute_0_65,plain,
addition(domain(X_13),domain(antidomain(X_13))) = addition(c(X_13),domain(X_13)),
inference(resolve,[$cnf( $equal(addition(domain(X_13),c(X_13)),addition(c(X_13),domain(X_13))) )],[refute_0_45,refute_0_64]) ).
cnf(refute_0_66,plain,
( addition(domain(X_13),domain(antidomain(X_13))) != addition(c(X_13),domain(X_13))
| addition(domain(X_13),domain(antidomain(X_13))) != one
| addition(c(X_13),domain(X_13)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(X_13),domain(antidomain(X_13))),one) ),[0],$fot(addition(c(X_13),domain(X_13)))]]) ).
cnf(refute_0_67,plain,
( addition(domain(X_13),domain(antidomain(X_13))) != one
| addition(c(X_13),domain(X_13)) = one ),
inference(resolve,[$cnf( $equal(addition(domain(X_13),domain(antidomain(X_13))),addition(c(X_13),domain(X_13))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
addition(c(X_13),domain(X_13)) = one,
inference(resolve,[$cnf( $equal(addition(domain(X_13),domain(antidomain(X_13))),one) )],[refute_0_44,refute_0_67]) ).
cnf(refute_0_69,plain,
( addition(c(X_13),addition(domain(X_13),X_157)) != addition(addition(c(X_13),domain(X_13)),X_157)
| addition(c(X_13),domain(X_13)) != one
| addition(c(X_13),addition(domain(X_13),X_157)) = addition(one,X_157) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_13),addition(domain(X_13),X_157)),addition(addition(c(X_13),domain(X_13)),X_157)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_70,plain,
( addition(c(X_13),addition(domain(X_13),X_157)) != addition(addition(c(X_13),domain(X_13)),X_157)
| addition(c(X_13),addition(domain(X_13),X_157)) = addition(one,X_157) ),
inference(resolve,[$cnf( $equal(addition(c(X_13),domain(X_13)),one) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
addition(c(X_13),addition(domain(X_13),X_157)) = addition(one,X_157),
inference(resolve,[$cnf( $equal(addition(c(X_13),addition(domain(X_13),X_157)),addition(addition(c(X_13),domain(X_13)),X_157)) )],[refute_0_19,refute_0_70]) ).
cnf(refute_0_72,plain,
addition(c(X_163),addition(domain(X_163),X_164)) = addition(one,X_164),
inference(subst,[],[refute_0_71:[bind(X_13,$fot(X_163)),bind(X_157,$fot(X_164))]]) ).
cnf(refute_0_73,plain,
addition(X_164,domain(X_163)) = addition(domain(X_163),X_164),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_164)),bind(B,$fot(domain(X_163)))]]) ).
cnf(refute_0_74,plain,
( addition(X_164,domain(X_163)) != addition(domain(X_163),X_164)
| addition(domain(X_163),X_164) = addition(X_164,domain(X_163)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(addition(X_164,domain(X_163)))),bind(Y,$fot(addition(domain(X_163),X_164)))]]) ).
cnf(refute_0_75,plain,
addition(domain(X_163),X_164) = addition(X_164,domain(X_163)),
inference(resolve,[$cnf( $equal(addition(X_164,domain(X_163)),addition(domain(X_163),X_164)) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( addition(c(X_163),addition(domain(X_163),X_164)) != addition(one,X_164)
| addition(domain(X_163),X_164) != addition(X_164,domain(X_163))
| addition(c(X_163),addition(X_164,domain(X_163))) = addition(one,X_164) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_163),addition(domain(X_163),X_164)),addition(one,X_164)) ),[0,1],$fot(addition(X_164,domain(X_163)))]]) ).
cnf(refute_0_77,plain,
( addition(c(X_163),addition(domain(X_163),X_164)) != addition(one,X_164)
| addition(c(X_163),addition(X_164,domain(X_163))) = addition(one,X_164) ),
inference(resolve,[$cnf( $equal(addition(domain(X_163),X_164),addition(X_164,domain(X_163))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
addition(c(X_163),addition(X_164,domain(X_163))) = addition(one,X_164),
inference(resolve,[$cnf( $equal(addition(c(X_163),addition(domain(X_163),X_164)),addition(one,X_164)) )],[refute_0_72,refute_0_77]) ).
cnf(refute_0_79,plain,
addition(c(X_265),addition(antidomain(X_265),domain(X_265))) = addition(one,antidomain(X_265)),
inference(subst,[],[refute_0_78:[bind(X_163,$fot(X_265)),bind(X_164,$fot(antidomain(X_265)))]]) ).
cnf(refute_0_80,plain,
addition(antidomain(X_265),domain(X_265)) = one,
inference(subst,[],[refute_0_37:[bind(X0,$fot(X_265))]]) ).
cnf(refute_0_81,plain,
( addition(antidomain(X_265),domain(X_265)) != one
| addition(c(X_265),addition(antidomain(X_265),domain(X_265))) != addition(one,antidomain(X_265))
| addition(c(X_265),one) = addition(one,antidomain(X_265)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_265),addition(antidomain(X_265),domain(X_265))),addition(one,antidomain(X_265))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_82,plain,
( addition(c(X_265),addition(antidomain(X_265),domain(X_265))) != addition(one,antidomain(X_265))
| addition(c(X_265),one) = addition(one,antidomain(X_265)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_265),domain(X_265)),one) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
addition(c(X_265),one) = addition(one,antidomain(X_265)),
inference(resolve,[$cnf( $equal(addition(c(X_265),addition(antidomain(X_265),domain(X_265))),addition(one,antidomain(X_265))) )],[refute_0_79,refute_0_82]) ).
cnf(refute_0_84,plain,
addition(antidomain(X0),addition(domain(X0),X_157)) = addition(addition(antidomain(X0),domain(X0)),X_157),
inference(subst,[],[refute_0_18:[bind(A,$fot(antidomain(X0))),bind(B,$fot(domain(X0))),bind(C,$fot(X_157))]]) ).
cnf(refute_0_85,plain,
( addition(antidomain(X0),addition(domain(X0),X_157)) != addition(addition(antidomain(X0),domain(X0)),X_157)
| addition(antidomain(X0),domain(X0)) != one
| addition(antidomain(X0),addition(domain(X0),X_157)) = addition(one,X_157) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),X_157)),addition(addition(antidomain(X0),domain(X0)),X_157)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_86,plain,
( addition(antidomain(X0),addition(domain(X0),X_157)) != addition(addition(antidomain(X0),domain(X0)),X_157)
| addition(antidomain(X0),addition(domain(X0),X_157)) = addition(one,X_157) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),domain(X0)),one) )],[refute_0_37,refute_0_85]) ).
cnf(refute_0_87,plain,
addition(antidomain(X0),addition(domain(X0),X_157)) = addition(one,X_157),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),addition(domain(X0),X_157)),addition(addition(antidomain(X0),domain(X0)),X_157)) )],[refute_0_84,refute_0_86]) ).
cnf(refute_0_88,plain,
addition(antidomain(X_158),addition(domain(X_158),domain(X_158))) = addition(one,domain(X_158)),
inference(subst,[],[refute_0_87:[bind(X0,$fot(X_158)),bind(X_157,$fot(domain(X_158)))]]) ).
cnf(refute_0_89,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_90,plain,
addition(domain(X_158),domain(X_158)) = domain(X_158),
inference(subst,[],[refute_0_89:[bind(A,$fot(domain(X_158)))]]) ).
cnf(refute_0_91,plain,
( addition(antidomain(X_158),addition(domain(X_158),domain(X_158))) != addition(one,domain(X_158))
| addition(domain(X_158),domain(X_158)) != domain(X_158)
| addition(antidomain(X_158),domain(X_158)) = addition(one,domain(X_158)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_158),addition(domain(X_158),domain(X_158))),addition(one,domain(X_158))) ),[0,1],$fot(domain(X_158))]]) ).
cnf(refute_0_92,plain,
( addition(antidomain(X_158),addition(domain(X_158),domain(X_158))) != addition(one,domain(X_158))
| addition(antidomain(X_158),domain(X_158)) = addition(one,domain(X_158)) ),
inference(resolve,[$cnf( $equal(addition(domain(X_158),domain(X_158)),domain(X_158)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
addition(antidomain(X_158),domain(X_158)) = addition(one,domain(X_158)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_158),addition(domain(X_158),domain(X_158))),addition(one,domain(X_158))) )],[refute_0_88,refute_0_92]) ).
cnf(refute_0_94,plain,
addition(antidomain(X_158),domain(X_158)) = one,
inference(subst,[],[refute_0_37:[bind(X0,$fot(X_158))]]) ).
cnf(refute_0_95,plain,
( addition(antidomain(X_158),domain(X_158)) != addition(one,domain(X_158))
| addition(antidomain(X_158),domain(X_158)) != one
| one = addition(one,domain(X_158)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X_158),domain(X_158)),addition(one,domain(X_158))) ),[0],$fot(one)]]) ).
cnf(refute_0_96,plain,
( addition(antidomain(X_158),domain(X_158)) != addition(one,domain(X_158))
| one = addition(one,domain(X_158)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_158),domain(X_158)),one) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
one = addition(one,domain(X_158)),
inference(resolve,[$cnf( $equal(addition(antidomain(X_158),domain(X_158)),addition(one,domain(X_158))) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
one = addition(one,domain(antidomain(X_13))),
inference(subst,[],[refute_0_97:[bind(X_158,$fot(antidomain(X_13)))]]) ).
cnf(refute_0_99,plain,
( domain(antidomain(X_13)) != c(X_13)
| one != addition(one,domain(antidomain(X_13)))
| one = addition(one,c(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(one,domain(antidomain(X_13)))) ),[1,1],$fot(c(X_13))]]) ).
cnf(refute_0_100,plain,
( one != addition(one,domain(antidomain(X_13)))
| one = addition(one,c(X_13)) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_13)),c(X_13)) )],[refute_0_56,refute_0_99]) ).
cnf(refute_0_101,plain,
one = addition(one,c(X_13)),
inference(resolve,[$cnf( $equal(one,addition(one,domain(antidomain(X_13)))) )],[refute_0_98,refute_0_100]) ).
cnf(refute_0_102,plain,
( one != addition(one,c(X_13))
| addition(one,c(X_13)) = one ),
inference(subst,[],[refute_0_11:[bind(X,$fot(one)),bind(Y,$fot(addition(one,c(X_13))))]]) ).
cnf(refute_0_103,plain,
addition(one,c(X_13)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,c(X_13))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
addition(one,c(X_265)) = one,
inference(subst,[],[refute_0_103:[bind(X_13,$fot(X_265))]]) ).
cnf(refute_0_105,plain,
addition(c(X_265),one) = addition(one,c(X_265)),
inference(subst,[],[refute_0_23:[bind(A,$fot(one)),bind(B,$fot(c(X_265)))]]) ).
cnf(refute_0_106,plain,
( addition(c(X_265),one) != addition(one,c(X_265))
| addition(one,c(X_265)) != one
| addition(c(X_265),one) = one ),
inference(subst,[],[refute_0_62:[bind(X,$fot(addition(c(X_265),one))),bind(Y,$fot(addition(one,c(X_265)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_107,plain,
( addition(one,c(X_265)) != one
| addition(c(X_265),one) = one ),
inference(resolve,[$cnf( $equal(addition(c(X_265),one),addition(one,c(X_265))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
addition(c(X_265),one) = one,
inference(resolve,[$cnf( $equal(addition(one,c(X_265)),one) )],[refute_0_104,refute_0_107]) ).
cnf(refute_0_109,plain,
( addition(c(X_265),one) != addition(one,antidomain(X_265))
| addition(c(X_265),one) != one
| one = addition(one,antidomain(X_265)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_265),one),addition(one,antidomain(X_265))) ),[0],$fot(one)]]) ).
cnf(refute_0_110,plain,
( addition(c(X_265),one) != addition(one,antidomain(X_265))
| one = addition(one,antidomain(X_265)) ),
inference(resolve,[$cnf( $equal(addition(c(X_265),one),one) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
one = addition(one,antidomain(X_265)),
inference(resolve,[$cnf( $equal(addition(c(X_265),one),addition(one,antidomain(X_265))) )],[refute_0_83,refute_0_110]) ).
cnf(refute_0_112,plain,
( one != addition(one,antidomain(X_265))
| addition(one,antidomain(X_265)) = one ),
inference(subst,[],[refute_0_11:[bind(X,$fot(one)),bind(Y,$fot(addition(one,antidomain(X_265))))]]) ).
cnf(refute_0_113,plain,
addition(one,antidomain(X_265)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,antidomain(X_265))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
addition(one,antidomain(X1)) = one,
inference(subst,[],[refute_0_113:[bind(X_265,$fot(X1))]]) ).
cnf(refute_0_115,plain,
multiplication(domain(X0),addition(one,antidomain(X1))) = multiplication(domain(X0),addition(one,antidomain(X1))),
introduced(tautology,[refl,[$fot(multiplication(domain(X0),addition(one,antidomain(X1))))]]) ).
cnf(refute_0_116,plain,
( addition(one,antidomain(X1)) != one
| multiplication(domain(X0),addition(one,antidomain(X1))) != multiplication(domain(X0),addition(one,antidomain(X1)))
| multiplication(domain(X0),addition(one,antidomain(X1))) = multiplication(domain(X0),one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X0),addition(one,antidomain(X1))),multiplication(domain(X0),addition(one,antidomain(X1)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_117,plain,
( addition(one,antidomain(X1)) != one
| multiplication(domain(X0),addition(one,antidomain(X1))) = multiplication(domain(X0),one) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),addition(one,antidomain(X1))),multiplication(domain(X0),addition(one,antidomain(X1)))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
multiplication(domain(X0),addition(one,antidomain(X1))) = multiplication(domain(X0),one),
inference(resolve,[$cnf( $equal(addition(one,antidomain(X1)),one) )],[refute_0_114,refute_0_117]) ).
cnf(refute_0_119,plain,
( multiplication(domain(X0),addition(one,antidomain(X1))) != multiplication(domain(X0),one)
| multiplication(domain(X0),one) != domain(X0)
| multiplication(domain(X0),addition(one,antidomain(X1))) = domain(X0) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(multiplication(domain(X0),addition(one,antidomain(X1))))),bind(Y,$fot(multiplication(domain(X0),one))),bind(Z,$fot(domain(X0)))]]) ).
cnf(refute_0_120,plain,
( multiplication(domain(X0),one) != domain(X0)
| multiplication(domain(X0),addition(one,antidomain(X1))) = domain(X0) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),addition(one,antidomain(X1))),multiplication(domain(X0),one)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
multiplication(domain(X0),addition(one,antidomain(X1))) = domain(X0),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),one),domain(X0)) )],[refute_0_17,refute_0_120]) ).
cnf(refute_0_122,plain,
( multiplication(domain(X0),addition(one,antidomain(X1))) != addition(domain(X0),domain_difference(X0,X1))
| multiplication(domain(X0),addition(one,antidomain(X1))) != domain(X0)
| domain(X0) = addition(domain(X0),domain_difference(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X0),addition(one,antidomain(X1))),addition(domain(X0),domain_difference(X0,X1))) ),[0],$fot(domain(X0))]]) ).
cnf(refute_0_123,plain,
( multiplication(domain(X0),addition(one,antidomain(X1))) != addition(domain(X0),domain_difference(X0,X1))
| domain(X0) = addition(domain(X0),domain_difference(X0,X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),addition(one,antidomain(X1))),domain(X0)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
domain(X0) = addition(domain(X0),domain_difference(X0,X1)),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),addition(one,antidomain(X1))),addition(domain(X0),domain_difference(X0,X1))) )],[refute_0_16,refute_0_123]) ).
cnf(refute_0_125,plain,
domain(skolemFOFtoCNF_X2) = addition(domain(skolemFOFtoCNF_X2),domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),
inference(subst,[],[refute_0_124:[bind(X0,$fot(skolemFOFtoCNF_X2)),bind(X1,$fot(antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_126,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_127,plain,
multiplication(addition(antidomain(skolemFOFtoCNF_X2),B),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = addition(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_126:[bind(A,$fot(antidomain(skolemFOFtoCNF_X2))),bind(C,$fot(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_128,plain,
multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_129,plain,
multiplication(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = zero,
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_130,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_131,plain,
antidomain(antidomain(X1)) = domain(X1),
inference(subst,[],[refute_0_30:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_132,plain,
multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,antidomain(antidomain(X1))),
introduced(tautology,[refl,[$fot(multiplication(X0,antidomain(antidomain(X1))))]]) ).
cnf(refute_0_133,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_134,plain,
( antidomain(antidomain(X1)) != domain(X1)
| multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
multiplication(X0,antidomain(antidomain(X1))) = multiplication(X0,domain(X1)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X1)),domain(X1)) )],[refute_0_131,refute_0_134]) ).
cnf(refute_0_136,plain,
antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(X0,antidomain(antidomain(X1)))))]]) ).
cnf(refute_0_137,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_138,plain,
( multiplication(X0,antidomain(antidomain(X1))) != multiplication(X0,domain(X1))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
antidomain(multiplication(X0,antidomain(antidomain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,domain(X1))) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
introduced(tautology,[refl,[$fot(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))))]]) ).
cnf(refute_0_141,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_142,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( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))) ),
introduced(tautology,[equality,[$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_145,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( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1))))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| antidomain(multiplication(X0,antidomain(antidomain(X1)))) != antidomain(multiplication(X0,domain(X1)))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
introduced(tautology,[equality,[$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_147,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( $equal(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,domain(X1)))) )],[refute_0_139,refute_0_146]) ).
cnf(refute_0_148,plain,
( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) != antidomain(multiplication(X0,antidomain(antidomain(X1))))
| addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_145,refute_0_147]) ).
cnf(refute_0_149,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) )],[refute_0_130,refute_0_148]) ).
cnf(refute_0_150,plain,
addition(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))),
inference(subst,[],[refute_0_149:[bind(X0,$fot(antidomain(skolemFOFtoCNF_X2))),bind(X1,$fot(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_151,plain,
multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = zero,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_152,plain,
( addition(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) != antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))
| multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) != zero
| addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_153,plain,
( addition(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) != antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))
| addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),zero) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) )],[refute_0_150,refute_0_153]) ).
cnf(refute_0_155,plain,
addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = one,
inference(subst,[],[refute_0_113:[bind(X_265,$fot(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_156,plain,
forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_157,plain,
( forward_diamond(X0,X1) != domain(multiplication(X0,domain(X1)))
| domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(forward_diamond(X0,X1))),bind(Y,$fot(domain(multiplication(X0,domain(X1)))))]]) ).
cnf(refute_0_158,plain,
domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1),
inference(resolve,[$cnf( $equal(forward_diamond(X0,X1),domain(multiplication(X0,domain(X1)))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_158:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_160,plain,
multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) = multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))),
introduced(tautology,[refl,[$fot(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_161,plain,
( domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) != forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) != multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))
| multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) = multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))),multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))) ),[1,1],$fot(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_162,plain,
( domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) != forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) = multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))),multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) = multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_159,refute_0_162]) ).
cnf(refute_0_164,plain,
antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))) = antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_165,plain,
( antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))) != antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))
| multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) != multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))) = antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) ),[1,0],$fot(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_166,plain,
( multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) != multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))) = antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))) = antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))),multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))),
introduced(tautology,[refl,[$fot(addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))))]]) ).
cnf(refute_0_169,plain,
( addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) != addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))))
| antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))) != antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))),addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))))) ),[1,1],$fot(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_170,plain,
( antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))) != antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))),addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),
inference(resolve,[$cnf( $equal(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
addition(zero,antidomain(zero)) = addition(antidomain(zero),zero),
inference(subst,[],[refute_0_21:[bind(A,$fot(zero)),bind(B,$fot(antidomain(zero)))]]) ).
cnf(refute_0_173,plain,
addition(antidomain(one),domain(one)) = one,
inference(subst,[],[refute_0_37:[bind(X0,$fot(one))]]) ).
cnf(refute_0_174,plain,
multiplication(antidomain(one),one) = antidomain(one),
inference(subst,[],[refute_0_2:[bind(A,$fot(antidomain(one)))]]) ).
cnf(refute_0_175,plain,
multiplication(antidomain(one),one) = zero,
inference(subst,[],[refute_0_128:[bind(X0,$fot(one))]]) ).
cnf(refute_0_176,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| multiplication(antidomain(one),one) != zero
| zero = antidomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) ),[0],$fot(zero)]]) ).
cnf(refute_0_177,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| zero = antidomain(one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),zero) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
zero = antidomain(one),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) )],[refute_0_174,refute_0_177]) ).
cnf(refute_0_179,plain,
( zero != antidomain(one)
| antidomain(one) = zero ),
inference(subst,[],[refute_0_11:[bind(X,$fot(zero)),bind(Y,$fot(antidomain(one)))]]) ).
cnf(refute_0_180,plain,
antidomain(one) = zero,
inference(resolve,[$cnf( $equal(zero,antidomain(one)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
( addition(antidomain(one),domain(one)) != one
| antidomain(one) != zero
| addition(zero,domain(one)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),domain(one)),one) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_182,plain,
( addition(antidomain(one),domain(one)) != one
| addition(zero,domain(one)) = one ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
addition(zero,domain(one)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(one)),one) )],[refute_0_173,refute_0_182]) ).
cnf(refute_0_184,plain,
domain(one) = antidomain(antidomain(one)),
inference(subst,[],[refute_0_28:[bind(X0,$fot(one))]]) ).
cnf(refute_0_185,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_186,plain,
( domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_180,refute_0_185]) ).
cnf(refute_0_187,plain,
domain(one) = antidomain(zero),
inference(resolve,[$cnf( $equal(domain(one),antidomain(antidomain(one))) )],[refute_0_184,refute_0_186]) ).
cnf(refute_0_188,plain,
addition(zero,domain(one)) = addition(zero,domain(one)),
introduced(tautology,[refl,[$fot(addition(zero,domain(one)))]]) ).
cnf(refute_0_189,plain,
( addition(zero,domain(one)) != addition(zero,domain(one))
| domain(one) != antidomain(zero)
| addition(zero,domain(one)) = addition(zero,antidomain(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,domain(one)),addition(zero,domain(one))) ),[1,1],$fot(antidomain(zero))]]) ).
cnf(refute_0_190,plain,
( domain(one) != antidomain(zero)
| addition(zero,domain(one)) = addition(zero,antidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(zero,domain(one)),addition(zero,domain(one))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
addition(zero,domain(one)) = addition(zero,antidomain(zero)),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_187,refute_0_190]) ).
cnf(refute_0_192,plain,
( addition(zero,domain(one)) != addition(zero,antidomain(zero))
| addition(zero,domain(one)) != one
| addition(zero,antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,domain(one)),one) ),[0],$fot(addition(zero,antidomain(zero)))]]) ).
cnf(refute_0_193,plain,
( addition(zero,domain(one)) != one
| addition(zero,antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(addition(zero,domain(one)),addition(zero,antidomain(zero))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
addition(zero,antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(zero,domain(one)),one) )],[refute_0_183,refute_0_193]) ).
cnf(refute_0_195,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| addition(zero,antidomain(zero)) != one
| one = addition(antidomain(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) ),[0],$fot(one)]]) ).
cnf(refute_0_196,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| one = addition(antidomain(zero),zero) ),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),one) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
one = addition(antidomain(zero),zero),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) )],[refute_0_172,refute_0_196]) ).
cnf(refute_0_198,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_199,plain,
addition(antidomain(zero),zero) = antidomain(zero),
inference(subst,[],[refute_0_198:[bind(A,$fot(antidomain(zero)))]]) ).
cnf(refute_0_200,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_201,plain,
( one != addition(antidomain(zero),zero)
| one = antidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),zero),antidomain(zero)) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
one = antidomain(zero),
inference(resolve,[$cnf( $equal(one,addition(antidomain(zero),zero)) )],[refute_0_197,refute_0_201]) ).
cnf(refute_0_203,plain,
( one != antidomain(zero)
| antidomain(zero) = one ),
inference(subst,[],[refute_0_11:[bind(X,$fot(one)),bind(Y,$fot(antidomain(zero)))]]) ).
cnf(refute_0_204,plain,
antidomain(zero) = one,
inference(resolve,[$cnf( $equal(one,antidomain(zero)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))),
introduced(tautology,[refl,[$fot(addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))))]]) ).
cnf(refute_0_206,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) != addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))))
| antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))),addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_207,plain,
( antidomain(zero) != one
| addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))),addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_204,refute_0_207]) ).
cnf(refute_0_209,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) != addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))))
| addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) != addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
| addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))))),bind(Y,$fot(addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))))),bind(Z,$fot(addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_210,plain,
( addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) != addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
| addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))),addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),
inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))),addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) )],[refute_0_171,refute_0_210]) ).
cnf(refute_0_212,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) != addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
| addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != one
| addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = one ),
inference(subst,[],[refute_0_62:[bind(X,$fot(addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))))),bind(Y,$fot(addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_213,plain,
( addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != one
| addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))),addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) = one,
inference(resolve,[$cnf( $equal(addition(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),one) )],[refute_0_155,refute_0_213]) ).
cnf(refute_0_215,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) != antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))
| addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) != one
| one = antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) ),[0],$fot(one)]]) ).
cnf(refute_0_216,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) != antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))
| one = antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))),one) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
( antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))) != antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| one != antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))
| one = antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) ),[1],$fot(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_218,plain,
( one != antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))
| one = antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_167,refute_0_217]) ).
cnf(refute_0_219,plain,
( addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) != antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))
| one = antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) )],[refute_0_216,refute_0_218]) ).
cnf(refute_0_220,plain,
one = antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))),antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),domain(multiplication(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))))) )],[refute_0_154,refute_0_219]) ).
cnf(refute_0_221,plain,
( one != antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = one ),
inference(subst,[],[refute_0_11:[bind(X,$fot(one)),bind(Y,$fot(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_222,plain,
antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = one,
inference(resolve,[$cnf( $equal(one,antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
( antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != one
| multiplication(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != zero
| multiplication(one,multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),zero) ),[0,0],$fot(one)]]) ).
cnf(refute_0_224,plain,
( multiplication(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != zero
| multiplication(one,multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = zero ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),one) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
multiplication(one,multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),zero) )],[refute_0_129,refute_0_224]) ).
cnf(refute_0_226,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_227,plain,
multiplication(one,multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_226:[bind(A,$fot(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_228,plain,
( multiplication(one,multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| multiplication(one,multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != zero
| multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),zero) ),[0],$fot(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_229,plain,
( multiplication(one,multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != zero
| multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = zero ),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = zero,
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),zero) )],[refute_0_225,refute_0_229]) ).
cnf(refute_0_231,plain,
( multiplication(addition(antidomain(skolemFOFtoCNF_X2),B),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != addition(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != zero
| multiplication(addition(antidomain(skolemFOFtoCNF_X2),B),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = addition(zero,multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(skolemFOFtoCNF_X2),B),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),addition(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_232,plain,
( multiplication(addition(antidomain(skolemFOFtoCNF_X2),B),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != addition(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| multiplication(addition(antidomain(skolemFOFtoCNF_X2),B),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = addition(zero,multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),zero) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
multiplication(addition(antidomain(skolemFOFtoCNF_X2),B),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = addition(zero,multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(skolemFOFtoCNF_X2),B),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),addition(multiplication(antidomain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_127,refute_0_232]) ).
cnf(refute_0_234,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_21:[bind(B,$fot(zero))]]) ).
cnf(refute_0_235,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_236,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_198,refute_0_236]) ).
cnf(refute_0_238,plain,
addition(zero,multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_237:[bind(A,$fot(multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_239,plain,
( addition(zero,multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| multiplication(addition(antidomain(skolemFOFtoCNF_X2),B),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != addition(zero,multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| multiplication(addition(antidomain(skolemFOFtoCNF_X2),B),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(skolemFOFtoCNF_X2),B),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),addition(zero,multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),[1],$fot(multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_240,plain,
( multiplication(addition(antidomain(skolemFOFtoCNF_X2),B),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != addition(zero,multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| multiplication(addition(antidomain(skolemFOFtoCNF_X2),B),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
multiplication(addition(antidomain(skolemFOFtoCNF_X2),B),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(skolemFOFtoCNF_X2),B),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),addition(zero,multiplication(B,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_233,refute_0_240]) ).
cnf(refute_0_242,plain,
multiplication(addition(antidomain(skolemFOFtoCNF_X2),domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_241:[bind(B,$fot(domain(skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_243,plain,
addition(antidomain(skolemFOFtoCNF_X2),domain(skolemFOFtoCNF_X2)) = one,
inference(subst,[],[refute_0_37:[bind(X0,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_244,plain,
( addition(antidomain(skolemFOFtoCNF_X2),domain(skolemFOFtoCNF_X2)) != one
| multiplication(addition(antidomain(skolemFOFtoCNF_X2),domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| multiplication(one,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(antidomain(skolemFOFtoCNF_X2),domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_245,plain,
( multiplication(addition(antidomain(skolemFOFtoCNF_X2),domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| multiplication(one,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(skolemFOFtoCNF_X2),domain(skolemFOFtoCNF_X2)),one) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
multiplication(one,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(antidomain(skolemFOFtoCNF_X2),domain(skolemFOFtoCNF_X2)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_242,refute_0_245]) ).
cnf(refute_0_247,plain,
multiplication(one,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_226:[bind(A,$fot(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_248,plain,
( multiplication(one,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| multiplication(one,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),[0],$fot(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_249,plain,
( multiplication(one,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(multiplication(one,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
domain_difference(X_31,antidomain(X0)) = multiplication(domain(X_31),antidomain(antidomain(X0))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(X_31)),bind(X1,$fot(antidomain(X0)))]]) ).
cnf(refute_0_251,plain,
( antidomain(antidomain(X0)) != domain(X0)
| domain_difference(X_31,antidomain(X0)) != multiplication(domain(X_31),antidomain(antidomain(X0)))
| domain_difference(X_31,antidomain(X0)) = multiplication(domain(X_31),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(X_31,antidomain(X0)),multiplication(domain(X_31),antidomain(antidomain(X0)))) ),[1,1],$fot(domain(X0))]]) ).
cnf(refute_0_252,plain,
( domain_difference(X_31,antidomain(X0)) != multiplication(domain(X_31),antidomain(antidomain(X0)))
| domain_difference(X_31,antidomain(X0)) = multiplication(domain(X_31),domain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_30,refute_0_251]) ).
cnf(refute_0_253,plain,
domain_difference(X_31,antidomain(X0)) = multiplication(domain(X_31),domain(X0)),
inference(resolve,[$cnf( $equal(domain_difference(X_31,antidomain(X0)),multiplication(domain(X_31),antidomain(antidomain(X0)))) )],[refute_0_250,refute_0_252]) ).
cnf(refute_0_254,plain,
domain_difference(X_31,antidomain(forward_diamond(X_820,X_821))) = multiplication(domain(X_31),domain(forward_diamond(X_820,X_821))),
inference(subst,[],[refute_0_253:[bind(X0,$fot(forward_diamond(X_820,X_821)))]]) ).
cnf(refute_0_255,plain,
multiplication(addition(X_236,one),X_238) = addition(multiplication(X_236,X_238),multiplication(one,X_238)),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_236)),bind(B,$fot(one)),bind(C,$fot(X_238))]]) ).
cnf(refute_0_256,plain,
multiplication(one,X_238) = X_238,
inference(subst,[],[refute_0_226:[bind(A,$fot(X_238))]]) ).
cnf(refute_0_257,plain,
( multiplication(addition(X_236,one),X_238) != addition(multiplication(X_236,X_238),multiplication(one,X_238))
| multiplication(one,X_238) != X_238
| multiplication(addition(X_236,one),X_238) = addition(multiplication(X_236,X_238),X_238) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_236,one),X_238),addition(multiplication(X_236,X_238),multiplication(one,X_238))) ),[1,1],$fot(X_238)]]) ).
cnf(refute_0_258,plain,
( multiplication(addition(X_236,one),X_238) != addition(multiplication(X_236,X_238),multiplication(one,X_238))
| multiplication(addition(X_236,one),X_238) = addition(multiplication(X_236,X_238),X_238) ),
inference(resolve,[$cnf( $equal(multiplication(one,X_238),X_238) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
multiplication(addition(X_236,one),X_238) = addition(multiplication(X_236,X_238),X_238),
inference(resolve,[$cnf( $equal(multiplication(addition(X_236,one),X_238),addition(multiplication(X_236,X_238),multiplication(one,X_238))) )],[refute_0_255,refute_0_258]) ).
cnf(refute_0_260,plain,
addition(multiplication(X_236,X_238),X_238) = addition(X_238,multiplication(X_236,X_238)),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_238)),bind(B,$fot(multiplication(X_236,X_238)))]]) ).
cnf(refute_0_261,plain,
( addition(multiplication(X_236,X_238),X_238) != addition(X_238,multiplication(X_236,X_238))
| multiplication(addition(X_236,one),X_238) != addition(multiplication(X_236,X_238),X_238)
| multiplication(addition(X_236,one),X_238) = addition(X_238,multiplication(X_236,X_238)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_236,one),X_238),addition(multiplication(X_236,X_238),X_238)) ),[1],$fot(addition(X_238,multiplication(X_236,X_238)))]]) ).
cnf(refute_0_262,plain,
( multiplication(addition(X_236,one),X_238) != addition(multiplication(X_236,X_238),X_238)
| multiplication(addition(X_236,one),X_238) = addition(X_238,multiplication(X_236,X_238)) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_236,X_238),X_238),addition(X_238,multiplication(X_236,X_238))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
multiplication(addition(X_236,one),X_238) = addition(X_238,multiplication(X_236,X_238)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_236,one),X_238),addition(multiplication(X_236,X_238),X_238)) )],[refute_0_259,refute_0_262]) ).
cnf(refute_0_264,plain,
multiplication(addition(domain(X0),one),antidomain(X1)) = addition(antidomain(X1),multiplication(domain(X0),antidomain(X1))),
inference(subst,[],[refute_0_263:[bind(X_236,$fot(domain(X0))),bind(X_238,$fot(antidomain(X1)))]]) ).
cnf(refute_0_265,plain,
( multiplication(addition(domain(X0),one),antidomain(X1)) != addition(antidomain(X1),multiplication(domain(X0),antidomain(X1)))
| multiplication(domain(X0),antidomain(X1)) != domain_difference(X0,X1)
| multiplication(addition(domain(X0),one),antidomain(X1)) = addition(antidomain(X1),domain_difference(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),addition(antidomain(X1),multiplication(domain(X0),antidomain(X1)))) ),[1,1],$fot(domain_difference(X0,X1))]]) ).
cnf(refute_0_266,plain,
( multiplication(addition(domain(X0),one),antidomain(X1)) != addition(antidomain(X1),multiplication(domain(X0),antidomain(X1)))
| multiplication(addition(domain(X0),one),antidomain(X1)) = addition(antidomain(X1),domain_difference(X0,X1)) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),antidomain(X1)),domain_difference(X0,X1)) )],[refute_0_13,refute_0_265]) ).
cnf(refute_0_267,plain,
multiplication(addition(domain(X0),one),antidomain(X1)) = addition(antidomain(X1),domain_difference(X0,X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),addition(antidomain(X1),multiplication(domain(X0),antidomain(X1)))) )],[refute_0_264,refute_0_266]) ).
cnf(refute_0_268,plain,
multiplication(one,antidomain(X1)) = antidomain(X1),
inference(subst,[],[refute_0_226:[bind(A,$fot(antidomain(X1)))]]) ).
cnf(refute_0_269,plain,
( one != addition(one,domain(X_158))
| addition(one,domain(X_158)) = one ),
inference(subst,[],[refute_0_11:[bind(X,$fot(one)),bind(Y,$fot(addition(one,domain(X_158))))]]) ).
cnf(refute_0_270,plain,
addition(one,domain(X_158)) = one,
inference(resolve,[$cnf( $equal(one,addition(one,domain(X_158))) )],[refute_0_97,refute_0_269]) ).
cnf(refute_0_271,plain,
addition(one,domain(X0)) = one,
inference(subst,[],[refute_0_270:[bind(X_158,$fot(X0))]]) ).
cnf(refute_0_272,plain,
multiplication(addition(one,domain(X0)),antidomain(X1)) = multiplication(addition(one,domain(X0)),antidomain(X1)),
introduced(tautology,[refl,[$fot(multiplication(addition(one,domain(X0)),antidomain(X1)))]]) ).
cnf(refute_0_273,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),antidomain(X1)) != multiplication(addition(one,domain(X0)),antidomain(X1))
| multiplication(addition(one,domain(X0)),antidomain(X1)) = multiplication(one,antidomain(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(one,domain(X0)),antidomain(X1)),multiplication(addition(one,domain(X0)),antidomain(X1))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_274,plain,
( addition(one,domain(X0)) != one
| multiplication(addition(one,domain(X0)),antidomain(X1)) = multiplication(one,antidomain(X1)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),antidomain(X1)),multiplication(addition(one,domain(X0)),antidomain(X1))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
multiplication(addition(one,domain(X0)),antidomain(X1)) = multiplication(one,antidomain(X1)),
inference(resolve,[$cnf( $equal(addition(one,domain(X0)),one) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
( multiplication(addition(one,domain(X0)),antidomain(X1)) != multiplication(one,antidomain(X1))
| multiplication(one,antidomain(X1)) != antidomain(X1)
| multiplication(addition(one,domain(X0)),antidomain(X1)) = antidomain(X1) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(multiplication(addition(one,domain(X0)),antidomain(X1)))),bind(Y,$fot(multiplication(one,antidomain(X1)))),bind(Z,$fot(antidomain(X1)))]]) ).
cnf(refute_0_277,plain,
( multiplication(one,antidomain(X1)) != antidomain(X1)
| multiplication(addition(one,domain(X0)),antidomain(X1)) = antidomain(X1) ),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),antidomain(X1)),multiplication(one,antidomain(X1))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
multiplication(addition(one,domain(X0)),antidomain(X1)) = antidomain(X1),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X1)),antidomain(X1)) )],[refute_0_268,refute_0_277]) ).
cnf(refute_0_279,plain,
addition(multiplication(X_237,X_238),multiplication(X_236,X_238)) = addition(multiplication(X_236,X_238),multiplication(X_237,X_238)),
inference(subst,[],[refute_0_21:[bind(A,$fot(multiplication(X_237,X_238))),bind(B,$fot(multiplication(X_236,X_238)))]]) ).
cnf(refute_0_280,plain,
multiplication(addition(X_236,X_237),X_238) = addition(multiplication(X_236,X_238),multiplication(X_237,X_238)),
inference(subst,[],[refute_0_126:[bind(A,$fot(X_236)),bind(B,$fot(X_237)),bind(C,$fot(X_238))]]) ).
cnf(refute_0_281,plain,
( multiplication(addition(X_236,X_237),X_238) != addition(multiplication(X_236,X_238),multiplication(X_237,X_238))
| addition(multiplication(X_236,X_238),multiplication(X_237,X_238)) = multiplication(addition(X_236,X_237),X_238) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(multiplication(addition(X_236,X_237),X_238))),bind(Y,$fot(addition(multiplication(X_236,X_238),multiplication(X_237,X_238))))]]) ).
cnf(refute_0_282,plain,
addition(multiplication(X_236,X_238),multiplication(X_237,X_238)) = multiplication(addition(X_236,X_237),X_238),
inference(resolve,[$cnf( $equal(multiplication(addition(X_236,X_237),X_238),addition(multiplication(X_236,X_238),multiplication(X_237,X_238))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
( addition(multiplication(X_236,X_238),multiplication(X_237,X_238)) != multiplication(addition(X_236,X_237),X_238)
| addition(multiplication(X_237,X_238),multiplication(X_236,X_238)) != addition(multiplication(X_236,X_238),multiplication(X_237,X_238))
| addition(multiplication(X_237,X_238),multiplication(X_236,X_238)) = multiplication(addition(X_236,X_237),X_238) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_237,X_238),multiplication(X_236,X_238)),addition(multiplication(X_236,X_238),multiplication(X_237,X_238))) ),[1],$fot(multiplication(addition(X_236,X_237),X_238))]]) ).
cnf(refute_0_284,plain,
( addition(multiplication(X_237,X_238),multiplication(X_236,X_238)) != addition(multiplication(X_236,X_238),multiplication(X_237,X_238))
| addition(multiplication(X_237,X_238),multiplication(X_236,X_238)) = multiplication(addition(X_236,X_237),X_238) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_236,X_238),multiplication(X_237,X_238)),multiplication(addition(X_236,X_237),X_238)) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
addition(multiplication(X_237,X_238),multiplication(X_236,X_238)) = multiplication(addition(X_236,X_237),X_238),
inference(resolve,[$cnf( $equal(addition(multiplication(X_237,X_238),multiplication(X_236,X_238)),addition(multiplication(X_236,X_238),multiplication(X_237,X_238))) )],[refute_0_279,refute_0_284]) ).
cnf(refute_0_286,plain,
( multiplication(addition(A,B),C) != addition(multiplication(A,C),multiplication(B,C))
| addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(multiplication(addition(A,B),C))),bind(Y,$fot(addition(multiplication(A,C),multiplication(B,C))))]]) ).
cnf(refute_0_287,plain,
addition(multiplication(A,C),multiplication(B,C)) = multiplication(addition(A,B),C),
inference(resolve,[$cnf( $equal(multiplication(addition(A,B),C),addition(multiplication(A,C),multiplication(B,C))) )],[refute_0_126,refute_0_286]) ).
cnf(refute_0_288,plain,
addition(multiplication(X_237,X_238),multiplication(X_236,X_238)) = multiplication(addition(X_237,X_236),X_238),
inference(subst,[],[refute_0_287:[bind(A,$fot(X_237)),bind(B,$fot(X_236)),bind(C,$fot(X_238))]]) ).
cnf(refute_0_289,plain,
( addition(multiplication(X_237,X_238),multiplication(X_236,X_238)) != multiplication(addition(X_236,X_237),X_238)
| addition(multiplication(X_237,X_238),multiplication(X_236,X_238)) != multiplication(addition(X_237,X_236),X_238)
| multiplication(addition(X_237,X_236),X_238) = multiplication(addition(X_236,X_237),X_238) ),
introduced(tautology,[equality,[$cnf( $equal(addition(multiplication(X_237,X_238),multiplication(X_236,X_238)),multiplication(addition(X_236,X_237),X_238)) ),[0],$fot(multiplication(addition(X_237,X_236),X_238))]]) ).
cnf(refute_0_290,plain,
( addition(multiplication(X_237,X_238),multiplication(X_236,X_238)) != multiplication(addition(X_236,X_237),X_238)
| multiplication(addition(X_237,X_236),X_238) = multiplication(addition(X_236,X_237),X_238) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_237,X_238),multiplication(X_236,X_238)),multiplication(addition(X_237,X_236),X_238)) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
multiplication(addition(X_237,X_236),X_238) = multiplication(addition(X_236,X_237),X_238),
inference(resolve,[$cnf( $equal(addition(multiplication(X_237,X_238),multiplication(X_236,X_238)),multiplication(addition(X_236,X_237),X_238)) )],[refute_0_285,refute_0_290]) ).
cnf(refute_0_292,plain,
( multiplication(addition(X_237,X_236),X_238) != multiplication(addition(X_236,X_237),X_238)
| multiplication(addition(X_236,X_237),X_238) = multiplication(addition(X_237,X_236),X_238) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(multiplication(addition(X_237,X_236),X_238))),bind(Y,$fot(multiplication(addition(X_236,X_237),X_238)))]]) ).
cnf(refute_0_293,plain,
multiplication(addition(X_236,X_237),X_238) = multiplication(addition(X_237,X_236),X_238),
inference(resolve,[$cnf( $equal(multiplication(addition(X_237,X_236),X_238),multiplication(addition(X_236,X_237),X_238)) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
multiplication(addition(domain(X0),one),antidomain(X1)) = multiplication(addition(one,domain(X0)),antidomain(X1)),
inference(subst,[],[refute_0_293:[bind(X_236,$fot(domain(X0))),bind(X_237,$fot(one)),bind(X_238,$fot(antidomain(X1)))]]) ).
cnf(refute_0_295,plain,
( multiplication(addition(domain(X0),one),antidomain(X1)) != multiplication(addition(one,domain(X0)),antidomain(X1))
| multiplication(addition(one,domain(X0)),antidomain(X1)) != antidomain(X1)
| multiplication(addition(domain(X0),one),antidomain(X1)) = antidomain(X1) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(multiplication(addition(domain(X0),one),antidomain(X1)))),bind(Y,$fot(multiplication(addition(one,domain(X0)),antidomain(X1)))),bind(Z,$fot(antidomain(X1)))]]) ).
cnf(refute_0_296,plain,
( multiplication(addition(one,domain(X0)),antidomain(X1)) != antidomain(X1)
| multiplication(addition(domain(X0),one),antidomain(X1)) = antidomain(X1) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),multiplication(addition(one,domain(X0)),antidomain(X1))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
multiplication(addition(domain(X0),one),antidomain(X1)) = antidomain(X1),
inference(resolve,[$cnf( $equal(multiplication(addition(one,domain(X0)),antidomain(X1)),antidomain(X1)) )],[refute_0_278,refute_0_296]) ).
cnf(refute_0_298,plain,
( multiplication(addition(domain(X0),one),antidomain(X1)) != addition(antidomain(X1),domain_difference(X0,X1))
| multiplication(addition(domain(X0),one),antidomain(X1)) != antidomain(X1)
| antidomain(X1) = addition(antidomain(X1),domain_difference(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),addition(antidomain(X1),domain_difference(X0,X1))) ),[0],$fot(antidomain(X1))]]) ).
cnf(refute_0_299,plain,
( multiplication(addition(domain(X0),one),antidomain(X1)) != addition(antidomain(X1),domain_difference(X0,X1))
| antidomain(X1) = addition(antidomain(X1),domain_difference(X0,X1)) ),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),antidomain(X1)) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
antidomain(X1) = addition(antidomain(X1),domain_difference(X0,X1)),
inference(resolve,[$cnf( $equal(multiplication(addition(domain(X0),one),antidomain(X1)),addition(antidomain(X1),domain_difference(X0,X1))) )],[refute_0_267,refute_0_299]) ).
cnf(refute_0_301,plain,
antidomain(c(domain(X_443))) = addition(antidomain(c(domain(X_443))),domain_difference(domain(X_443),c(domain(X_443)))),
inference(subst,[],[refute_0_300:[bind(X0,$fot(domain(X_443))),bind(X1,$fot(c(domain(X_443))))]]) ).
cnf(refute_0_302,plain,
multiplication(antidomain(X_142),addition(X_142,X_143)) = addition(multiplication(antidomain(X_142),X_142),multiplication(antidomain(X_142),X_143)),
inference(subst,[],[refute_0_0:[bind(A,$fot(antidomain(X_142))),bind(B,$fot(X_142)),bind(C,$fot(X_143))]]) ).
cnf(refute_0_303,plain,
multiplication(antidomain(X_142),X_142) = zero,
inference(subst,[],[refute_0_128:[bind(X0,$fot(X_142))]]) ).
cnf(refute_0_304,plain,
( multiplication(antidomain(X_142),X_142) != zero
| multiplication(antidomain(X_142),addition(X_142,X_143)) != addition(multiplication(antidomain(X_142),X_142),multiplication(antidomain(X_142),X_143))
| multiplication(antidomain(X_142),addition(X_142,X_143)) = addition(zero,multiplication(antidomain(X_142),X_143)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_142),addition(X_142,X_143)),addition(multiplication(antidomain(X_142),X_142),multiplication(antidomain(X_142),X_143))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_305,plain,
( multiplication(antidomain(X_142),addition(X_142,X_143)) != addition(multiplication(antidomain(X_142),X_142),multiplication(antidomain(X_142),X_143))
| multiplication(antidomain(X_142),addition(X_142,X_143)) = addition(zero,multiplication(antidomain(X_142),X_143)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_142),X_142),zero) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
multiplication(antidomain(X_142),addition(X_142,X_143)) = addition(zero,multiplication(antidomain(X_142),X_143)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_142),addition(X_142,X_143)),addition(multiplication(antidomain(X_142),X_142),multiplication(antidomain(X_142),X_143))) )],[refute_0_302,refute_0_305]) ).
cnf(refute_0_307,plain,
addition(zero,multiplication(antidomain(X_142),X_143)) = multiplication(antidomain(X_142),X_143),
inference(subst,[],[refute_0_237:[bind(A,$fot(multiplication(antidomain(X_142),X_143)))]]) ).
cnf(refute_0_308,plain,
( addition(zero,multiplication(antidomain(X_142),X_143)) != multiplication(antidomain(X_142),X_143)
| multiplication(antidomain(X_142),addition(X_142,X_143)) != addition(zero,multiplication(antidomain(X_142),X_143))
| multiplication(antidomain(X_142),addition(X_142,X_143)) = multiplication(antidomain(X_142),X_143) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(X_142),addition(X_142,X_143)),addition(zero,multiplication(antidomain(X_142),X_143))) ),[1],$fot(multiplication(antidomain(X_142),X_143))]]) ).
cnf(refute_0_309,plain,
( multiplication(antidomain(X_142),addition(X_142,X_143)) != addition(zero,multiplication(antidomain(X_142),X_143))
| multiplication(antidomain(X_142),addition(X_142,X_143)) = multiplication(antidomain(X_142),X_143) ),
inference(resolve,[$cnf( $equal(addition(zero,multiplication(antidomain(X_142),X_143)),multiplication(antidomain(X_142),X_143)) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
multiplication(antidomain(X_142),addition(X_142,X_143)) = multiplication(antidomain(X_142),X_143),
inference(resolve,[$cnf( $equal(multiplication(antidomain(X_142),addition(X_142,X_143)),addition(zero,multiplication(antidomain(X_142),X_143))) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
multiplication(antidomain(c(X_442)),addition(c(X_442),c(c(X_442)))) = multiplication(antidomain(c(X_442)),c(c(X_442))),
inference(subst,[],[refute_0_310:[bind(X_142,$fot(c(X_442))),bind(X_143,$fot(c(c(X_442))))]]) ).
cnf(refute_0_312,plain,
addition(c(c(X_21)),addition(c(domain(X_21)),X_157)) = addition(addition(c(c(X_21)),c(domain(X_21))),X_157),
inference(subst,[],[refute_0_18:[bind(A,$fot(c(c(X_21)))),bind(B,$fot(c(domain(X_21)))),bind(C,$fot(X_157))]]) ).
cnf(refute_0_313,plain,
addition(c(c(X_21)),domain(c(X_21))) = one,
inference(subst,[],[refute_0_68:[bind(X_13,$fot(c(X_21)))]]) ).
cnf(refute_0_314,plain,
domain(antidomain(domain(X0))) = c(domain(X0)),
inference(subst,[],[refute_0_56:[bind(X_13,$fot(domain(X0)))]]) ).
cnf(refute_0_315,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_316,plain,
( domain(antidomain(domain(X0))) != c(domain(X0))
| domain(c(X0)) = c(domain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_52,refute_0_315]) ).
cnf(refute_0_317,plain,
domain(c(X0)) = c(domain(X0)),
inference(resolve,[$cnf( $equal(domain(antidomain(domain(X0))),c(domain(X0))) )],[refute_0_314,refute_0_316]) ).
cnf(refute_0_318,plain,
domain(c(X_21)) = c(domain(X_21)),
inference(subst,[],[refute_0_317:[bind(X0,$fot(X_21))]]) ).
cnf(refute_0_319,plain,
( addition(c(c(X_21)),domain(c(X_21))) != one
| domain(c(X_21)) != c(domain(X_21))
| addition(c(c(X_21)),c(domain(X_21))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(c(X_21)),domain(c(X_21))),one) ),[0,1],$fot(c(domain(X_21)))]]) ).
cnf(refute_0_320,plain,
( addition(c(c(X_21)),domain(c(X_21))) != one
| addition(c(c(X_21)),c(domain(X_21))) = one ),
inference(resolve,[$cnf( $equal(domain(c(X_21)),c(domain(X_21))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
addition(c(c(X_21)),c(domain(X_21))) = one,
inference(resolve,[$cnf( $equal(addition(c(c(X_21)),domain(c(X_21))),one) )],[refute_0_313,refute_0_320]) ).
cnf(refute_0_322,plain,
( addition(c(c(X_21)),addition(c(domain(X_21)),X_157)) != addition(addition(c(c(X_21)),c(domain(X_21))),X_157)
| addition(c(c(X_21)),c(domain(X_21))) != one
| addition(c(c(X_21)),addition(c(domain(X_21)),X_157)) = addition(one,X_157) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(c(X_21)),addition(c(domain(X_21)),X_157)),addition(addition(c(c(X_21)),c(domain(X_21))),X_157)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_323,plain,
( addition(c(c(X_21)),addition(c(domain(X_21)),X_157)) != addition(addition(c(c(X_21)),c(domain(X_21))),X_157)
| addition(c(c(X_21)),addition(c(domain(X_21)),X_157)) = addition(one,X_157) ),
inference(resolve,[$cnf( $equal(addition(c(c(X_21)),c(domain(X_21))),one) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
addition(c(c(X_21)),addition(c(domain(X_21)),X_157)) = addition(one,X_157),
inference(resolve,[$cnf( $equal(addition(c(c(X_21)),addition(c(domain(X_21)),X_157)),addition(addition(c(c(X_21)),c(domain(X_21))),X_157)) )],[refute_0_312,refute_0_323]) ).
cnf(refute_0_325,plain,
addition(c(c(X_229)),addition(c(domain(X_229)),X_228)) = addition(one,X_228),
inference(subst,[],[refute_0_324:[bind(X_157,$fot(X_228)),bind(X_21,$fot(X_229))]]) ).
cnf(refute_0_326,plain,
addition(X_228,c(domain(X_229))) = addition(c(domain(X_229)),X_228),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_228)),bind(B,$fot(c(domain(X_229))))]]) ).
cnf(refute_0_327,plain,
( addition(X_228,c(domain(X_229))) != addition(c(domain(X_229)),X_228)
| addition(c(domain(X_229)),X_228) = addition(X_228,c(domain(X_229))) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(addition(X_228,c(domain(X_229))))),bind(Y,$fot(addition(c(domain(X_229)),X_228)))]]) ).
cnf(refute_0_328,plain,
addition(c(domain(X_229)),X_228) = addition(X_228,c(domain(X_229))),
inference(resolve,[$cnf( $equal(addition(X_228,c(domain(X_229))),addition(c(domain(X_229)),X_228)) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
( addition(c(c(X_229)),addition(c(domain(X_229)),X_228)) != addition(one,X_228)
| addition(c(domain(X_229)),X_228) != addition(X_228,c(domain(X_229)))
| addition(c(c(X_229)),addition(X_228,c(domain(X_229)))) = addition(one,X_228) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(c(X_229)),addition(c(domain(X_229)),X_228)),addition(one,X_228)) ),[0,1],$fot(addition(X_228,c(domain(X_229))))]]) ).
cnf(refute_0_330,plain,
( addition(c(c(X_229)),addition(c(domain(X_229)),X_228)) != addition(one,X_228)
| addition(c(c(X_229)),addition(X_228,c(domain(X_229)))) = addition(one,X_228) ),
inference(resolve,[$cnf( $equal(addition(c(domain(X_229)),X_228),addition(X_228,c(domain(X_229)))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
addition(c(c(X_229)),addition(X_228,c(domain(X_229)))) = addition(one,X_228),
inference(resolve,[$cnf( $equal(addition(c(c(X_229)),addition(c(domain(X_229)),X_228)),addition(one,X_228)) )],[refute_0_325,refute_0_330]) ).
cnf(refute_0_332,plain,
addition(c(c(X_441)),addition(c(X_441),c(domain(X_441)))) = addition(one,c(X_441)),
inference(subst,[],[refute_0_331:[bind(X_228,$fot(c(X_441))),bind(X_229,$fot(X_441))]]) ).
cnf(refute_0_333,plain,
antidomain(domain(X0)) = addition(antidomain(domain(X0)),domain_difference(c(X0),domain(X0))),
inference(subst,[],[refute_0_300:[bind(X0,$fot(c(X0))),bind(X1,$fot(domain(X0)))]]) ).
cnf(refute_0_334,plain,
multiplication(antidomain(c(X_13)),addition(c(X_13),domain(X_13))) = multiplication(antidomain(c(X_13)),domain(X_13)),
inference(subst,[],[refute_0_310:[bind(X_142,$fot(c(X_13))),bind(X_143,$fot(domain(X_13)))]]) ).
cnf(refute_0_335,plain,
( addition(c(X_13),domain(X_13)) != one
| multiplication(antidomain(c(X_13)),addition(c(X_13),domain(X_13))) != multiplication(antidomain(c(X_13)),domain(X_13))
| multiplication(antidomain(c(X_13)),one) = multiplication(antidomain(c(X_13)),domain(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(c(X_13)),addition(c(X_13),domain(X_13))),multiplication(antidomain(c(X_13)),domain(X_13))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_336,plain,
( multiplication(antidomain(c(X_13)),addition(c(X_13),domain(X_13))) != multiplication(antidomain(c(X_13)),domain(X_13))
| multiplication(antidomain(c(X_13)),one) = multiplication(antidomain(c(X_13)),domain(X_13)) ),
inference(resolve,[$cnf( $equal(addition(c(X_13),domain(X_13)),one) )],[refute_0_68,refute_0_335]) ).
cnf(refute_0_337,plain,
multiplication(antidomain(c(X_13)),one) = multiplication(antidomain(c(X_13)),domain(X_13)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X_13)),addition(c(X_13),domain(X_13))),multiplication(antidomain(c(X_13)),domain(X_13))) )],[refute_0_334,refute_0_336]) ).
cnf(refute_0_338,plain,
multiplication(antidomain(c(X_13)),one) = antidomain(c(X_13)),
inference(subst,[],[refute_0_2:[bind(A,$fot(antidomain(c(X_13))))]]) ).
cnf(refute_0_339,plain,
( multiplication(antidomain(c(X_13)),one) != antidomain(c(X_13))
| multiplication(antidomain(c(X_13)),one) != multiplication(antidomain(c(X_13)),domain(X_13))
| antidomain(c(X_13)) = multiplication(antidomain(c(X_13)),domain(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(c(X_13)),one),multiplication(antidomain(c(X_13)),domain(X_13))) ),[0],$fot(antidomain(c(X_13)))]]) ).
cnf(refute_0_340,plain,
( multiplication(antidomain(c(X_13)),one) != multiplication(antidomain(c(X_13)),domain(X_13))
| antidomain(c(X_13)) = multiplication(antidomain(c(X_13)),domain(X_13)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X_13)),one),antidomain(c(X_13))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
antidomain(c(X_13)) = multiplication(antidomain(c(X_13)),domain(X_13)),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X_13)),one),multiplication(antidomain(c(X_13)),domain(X_13))) )],[refute_0_337,refute_0_340]) ).
cnf(refute_0_342,plain,
domain_difference(domain(X0),antidomain(X_216)) = multiplication(domain(domain(X0)),domain(X_216)),
inference(subst,[],[refute_0_253:[bind(X0,$fot(X_216)),bind(X_31,$fot(domain(X0)))]]) ).
cnf(refute_0_343,plain,
domain(domain(X0)) = antidomain(antidomain(domain(X0))),
inference(subst,[],[refute_0_28:[bind(X0,$fot(domain(X0)))]]) ).
cnf(refute_0_344,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_345,plain,
( domain(domain(X0)) != antidomain(antidomain(domain(X0)))
| domain(domain(X0)) = antidomain(c(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_52,refute_0_344]) ).
cnf(refute_0_346,plain,
domain(domain(X0)) = antidomain(c(X0)),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(antidomain(domain(X0)))) )],[refute_0_343,refute_0_345]) ).
cnf(refute_0_347,plain,
( domain(domain(X0)) != antidomain(c(X0))
| domain_difference(domain(X0),antidomain(X_216)) != multiplication(domain(domain(X0)),domain(X_216))
| domain_difference(domain(X0),antidomain(X_216)) = multiplication(antidomain(c(X0)),domain(X_216)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(X0),antidomain(X_216)),multiplication(domain(domain(X0)),domain(X_216))) ),[1,0],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_348,plain,
( domain_difference(domain(X0),antidomain(X_216)) != multiplication(domain(domain(X0)),domain(X_216))
| domain_difference(domain(X0),antidomain(X_216)) = multiplication(antidomain(c(X0)),domain(X_216)) ),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
domain_difference(domain(X0),antidomain(X_216)) = multiplication(antidomain(c(X0)),domain(X_216)),
inference(resolve,[$cnf( $equal(domain_difference(domain(X0),antidomain(X_216)),multiplication(domain(domain(X0)),domain(X_216))) )],[refute_0_342,refute_0_348]) ).
cnf(refute_0_350,plain,
( domain_difference(domain(X0),antidomain(X_216)) != multiplication(antidomain(c(X0)),domain(X_216))
| multiplication(antidomain(c(X0)),domain(X_216)) = domain_difference(domain(X0),antidomain(X_216)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(domain_difference(domain(X0),antidomain(X_216)))),bind(Y,$fot(multiplication(antidomain(c(X0)),domain(X_216))))]]) ).
cnf(refute_0_351,plain,
multiplication(antidomain(c(X0)),domain(X_216)) = domain_difference(domain(X0),antidomain(X_216)),
inference(resolve,[$cnf( $equal(domain_difference(domain(X0),antidomain(X_216)),multiplication(antidomain(c(X0)),domain(X_216))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
multiplication(antidomain(c(X_13)),domain(X_13)) = domain_difference(domain(X_13),antidomain(X_13)),
inference(subst,[],[refute_0_351:[bind(X0,$fot(X_13)),bind(X_216,$fot(X_13))]]) ).
cnf(refute_0_353,plain,
( antidomain(c(X_13)) != multiplication(antidomain(c(X_13)),domain(X_13))
| multiplication(antidomain(c(X_13)),domain(X_13)) != domain_difference(domain(X_13),antidomain(X_13))
| antidomain(c(X_13)) = domain_difference(domain(X_13),antidomain(X_13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(c(X_13)),domain_difference(domain(X_13),antidomain(X_13))) ),[0],$fot(multiplication(antidomain(c(X_13)),domain(X_13)))]]) ).
cnf(refute_0_354,plain,
( antidomain(c(X_13)) != multiplication(antidomain(c(X_13)),domain(X_13))
| antidomain(c(X_13)) = domain_difference(domain(X_13),antidomain(X_13)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X_13)),domain(X_13)),domain_difference(domain(X_13),antidomain(X_13))) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
antidomain(c(X_13)) = domain_difference(domain(X_13),antidomain(X_13)),
inference(resolve,[$cnf( $equal(antidomain(c(X_13)),multiplication(antidomain(c(X_13)),domain(X_13))) )],[refute_0_341,refute_0_354]) ).
cnf(refute_0_356,plain,
antidomain(c(antidomain(X0))) = domain_difference(domain(antidomain(X0)),antidomain(antidomain(X0))),
inference(subst,[],[refute_0_355:[bind(X_13,$fot(antidomain(X0)))]]) ).
cnf(refute_0_357,plain,
( antidomain(antidomain(X0)) != domain(X0)
| antidomain(c(antidomain(X0))) != domain_difference(domain(antidomain(X0)),antidomain(antidomain(X0)))
| antidomain(c(antidomain(X0))) = domain_difference(domain(antidomain(X0)),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(antidomain(X0))),domain_difference(domain(antidomain(X0)),antidomain(antidomain(X0)))) ),[1,1],$fot(domain(X0))]]) ).
cnf(refute_0_358,plain,
( antidomain(c(antidomain(X0))) != domain_difference(domain(antidomain(X0)),antidomain(antidomain(X0)))
| antidomain(c(antidomain(X0))) = domain_difference(domain(antidomain(X0)),domain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_30,refute_0_357]) ).
cnf(refute_0_359,plain,
antidomain(c(antidomain(X0))) = domain_difference(domain(antidomain(X0)),domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(c(antidomain(X0))),domain_difference(domain(antidomain(X0)),antidomain(antidomain(X0)))) )],[refute_0_356,refute_0_358]) ).
cnf(refute_0_360,plain,
antidomain(antidomain(c(X0))) = domain(c(X0)),
inference(subst,[],[refute_0_30:[bind(X0,$fot(c(X0)))]]) ).
cnf(refute_0_361,plain,
( antidomain(antidomain(c(X0))) != domain(c(X0))
| domain(c(X0)) != c(domain(X0))
| antidomain(antidomain(c(X0))) = c(domain(X0)) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(antidomain(antidomain(c(X0))))),bind(Y,$fot(domain(c(X0)))),bind(Z,$fot(c(domain(X0))))]]) ).
cnf(refute_0_362,plain,
( domain(c(X0)) != c(domain(X0))
| antidomain(antidomain(c(X0))) = c(domain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(c(X0))),domain(c(X0))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
antidomain(antidomain(c(X0))) = c(domain(X0)),
inference(resolve,[$cnf( $equal(domain(c(X0)),c(domain(X0))) )],[refute_0_317,refute_0_362]) ).
cnf(refute_0_364,plain,
c(antidomain(X_16)) = antidomain(domain(antidomain(X_16))),
inference(subst,[],[refute_0_50:[bind(X0,$fot(antidomain(X_16)))]]) ).
cnf(refute_0_365,plain,
domain(antidomain(X_16)) = c(X_16),
inference(subst,[],[refute_0_56:[bind(X_13,$fot(X_16))]]) ).
cnf(refute_0_366,plain,
( c(antidomain(X_16)) != antidomain(domain(antidomain(X_16)))
| domain(antidomain(X_16)) != c(X_16)
| c(antidomain(X_16)) = antidomain(c(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(c(antidomain(X_16)),antidomain(domain(antidomain(X_16)))) ),[1,0],$fot(c(X_16))]]) ).
cnf(refute_0_367,plain,
( c(antidomain(X_16)) != antidomain(domain(antidomain(X_16)))
| c(antidomain(X_16)) = antidomain(c(X_16)) ),
inference(resolve,[$cnf( $equal(domain(antidomain(X_16)),c(X_16)) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
c(antidomain(X_16)) = antidomain(c(X_16)),
inference(resolve,[$cnf( $equal(c(antidomain(X_16)),antidomain(domain(antidomain(X_16)))) )],[refute_0_364,refute_0_367]) ).
cnf(refute_0_369,plain,
c(antidomain(X0)) = antidomain(c(X0)),
inference(subst,[],[refute_0_368:[bind(X_16,$fot(X0))]]) ).
cnf(refute_0_370,plain,
antidomain(c(antidomain(X0))) = antidomain(c(antidomain(X0))),
introduced(tautology,[refl,[$fot(antidomain(c(antidomain(X0))))]]) ).
cnf(refute_0_371,plain,
( antidomain(c(antidomain(X0))) != antidomain(c(antidomain(X0)))
| c(antidomain(X0)) != antidomain(c(X0))
| antidomain(c(antidomain(X0))) = antidomain(antidomain(c(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(antidomain(X0))),antidomain(c(antidomain(X0)))) ),[1,0],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_372,plain,
( c(antidomain(X0)) != antidomain(c(X0))
| antidomain(c(antidomain(X0))) = antidomain(antidomain(c(X0))) ),
inference(resolve,[$cnf( $equal(antidomain(c(antidomain(X0))),antidomain(c(antidomain(X0)))) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
antidomain(c(antidomain(X0))) = antidomain(antidomain(c(X0))),
inference(resolve,[$cnf( $equal(c(antidomain(X0)),antidomain(c(X0))) )],[refute_0_369,refute_0_372]) ).
cnf(refute_0_374,plain,
( antidomain(antidomain(c(X0))) != c(domain(X0))
| antidomain(c(antidomain(X0))) != antidomain(antidomain(c(X0)))
| antidomain(c(antidomain(X0))) = c(domain(X0)) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(antidomain(c(antidomain(X0))))),bind(Y,$fot(antidomain(antidomain(c(X0))))),bind(Z,$fot(c(domain(X0))))]]) ).
cnf(refute_0_375,plain,
( antidomain(antidomain(c(X0))) != c(domain(X0))
| antidomain(c(antidomain(X0))) = c(domain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(c(antidomain(X0))),antidomain(antidomain(c(X0)))) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
antidomain(c(antidomain(X0))) = c(domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(c(X0))),c(domain(X0))) )],[refute_0_363,refute_0_375]) ).
cnf(refute_0_377,plain,
( antidomain(c(antidomain(X0))) != c(domain(X0))
| antidomain(c(antidomain(X0))) != domain_difference(domain(antidomain(X0)),domain(X0))
| c(domain(X0)) = domain_difference(domain(antidomain(X0)),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(antidomain(X0))),domain_difference(domain(antidomain(X0)),domain(X0))) ),[0],$fot(c(domain(X0)))]]) ).
cnf(refute_0_378,plain,
( antidomain(c(antidomain(X0))) != domain_difference(domain(antidomain(X0)),domain(X0))
| c(domain(X0)) = domain_difference(domain(antidomain(X0)),domain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(c(antidomain(X0))),c(domain(X0))) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
domain(antidomain(X0)) = c(X0),
inference(subst,[],[refute_0_56:[bind(X_13,$fot(X0))]]) ).
cnf(refute_0_380,plain,
domain_difference(domain(antidomain(X0)),domain(X0)) = domain_difference(domain(antidomain(X0)),domain(X0)),
introduced(tautology,[refl,[$fot(domain_difference(domain(antidomain(X0)),domain(X0)))]]) ).
cnf(refute_0_381,plain,
( domain(antidomain(X0)) != c(X0)
| domain_difference(domain(antidomain(X0)),domain(X0)) != domain_difference(domain(antidomain(X0)),domain(X0))
| domain_difference(domain(antidomain(X0)),domain(X0)) = domain_difference(c(X0),domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(antidomain(X0)),domain(X0)),domain_difference(domain(antidomain(X0)),domain(X0))) ),[1,0],$fot(c(X0))]]) ).
cnf(refute_0_382,plain,
( domain(antidomain(X0)) != c(X0)
| domain_difference(domain(antidomain(X0)),domain(X0)) = domain_difference(c(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(antidomain(X0)),domain(X0)),domain_difference(domain(antidomain(X0)),domain(X0))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
domain_difference(domain(antidomain(X0)),domain(X0)) = domain_difference(c(X0),domain(X0)),
inference(resolve,[$cnf( $equal(domain(antidomain(X0)),c(X0)) )],[refute_0_379,refute_0_382]) ).
cnf(refute_0_384,plain,
( c(domain(X0)) != domain_difference(domain(antidomain(X0)),domain(X0))
| domain_difference(domain(antidomain(X0)),domain(X0)) != domain_difference(c(X0),domain(X0))
| c(domain(X0)) = domain_difference(c(X0),domain(X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c(domain(X0)),domain_difference(c(X0),domain(X0))) ),[0],$fot(domain_difference(domain(antidomain(X0)),domain(X0)))]]) ).
cnf(refute_0_385,plain,
( c(domain(X0)) != domain_difference(domain(antidomain(X0)),domain(X0))
| c(domain(X0)) = domain_difference(c(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(antidomain(X0)),domain(X0)),domain_difference(c(X0),domain(X0))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
( antidomain(c(antidomain(X0))) != domain_difference(domain(antidomain(X0)),domain(X0))
| c(domain(X0)) = domain_difference(c(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(c(domain(X0)),domain_difference(domain(antidomain(X0)),domain(X0))) )],[refute_0_378,refute_0_385]) ).
cnf(refute_0_387,plain,
c(domain(X0)) = domain_difference(c(X0),domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(c(antidomain(X0))),domain_difference(domain(antidomain(X0)),domain(X0))) )],[refute_0_359,refute_0_386]) ).
cnf(refute_0_388,plain,
( c(domain(X0)) != domain_difference(c(X0),domain(X0))
| domain_difference(c(X0),domain(X0)) = c(domain(X0)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(c(domain(X0)))),bind(Y,$fot(domain_difference(c(X0),domain(X0))))]]) ).
cnf(refute_0_389,plain,
domain_difference(c(X0),domain(X0)) = c(domain(X0)),
inference(resolve,[$cnf( $equal(c(domain(X0)),domain_difference(c(X0),domain(X0))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
( antidomain(domain(X0)) != addition(antidomain(domain(X0)),domain_difference(c(X0),domain(X0)))
| domain_difference(c(X0),domain(X0)) != c(domain(X0))
| antidomain(domain(X0)) = addition(antidomain(domain(X0)),c(domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(X0)),addition(antidomain(domain(X0)),domain_difference(c(X0),domain(X0)))) ),[1,1],$fot(c(domain(X0)))]]) ).
cnf(refute_0_391,plain,
( antidomain(domain(X0)) != addition(antidomain(domain(X0)),domain_difference(c(X0),domain(X0)))
| antidomain(domain(X0)) = addition(antidomain(domain(X0)),c(domain(X0))) ),
inference(resolve,[$cnf( $equal(domain_difference(c(X0),domain(X0)),c(domain(X0))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
antidomain(domain(X0)) = addition(antidomain(domain(X0)),c(domain(X0))),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),addition(antidomain(domain(X0)),domain_difference(c(X0),domain(X0)))) )],[refute_0_333,refute_0_391]) ).
cnf(refute_0_393,plain,
( antidomain(domain(X0)) != addition(antidomain(domain(X0)),c(domain(X0)))
| antidomain(domain(X0)) != c(X0)
| c(X0) = addition(antidomain(domain(X0)),c(domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(domain(X0)),addition(antidomain(domain(X0)),c(domain(X0)))) ),[0],$fot(c(X0))]]) ).
cnf(refute_0_394,plain,
( antidomain(domain(X0)) != addition(antidomain(domain(X0)),c(domain(X0)))
| c(X0) = addition(antidomain(domain(X0)),c(domain(X0))) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_52,refute_0_393]) ).
cnf(refute_0_395,plain,
addition(antidomain(domain(X0)),c(domain(X0))) = addition(antidomain(domain(X0)),c(domain(X0))),
introduced(tautology,[refl,[$fot(addition(antidomain(domain(X0)),c(domain(X0))))]]) ).
cnf(refute_0_396,plain,
( addition(antidomain(domain(X0)),c(domain(X0))) != addition(antidomain(domain(X0)),c(domain(X0)))
| antidomain(domain(X0)) != c(X0)
| addition(antidomain(domain(X0)),c(domain(X0))) = addition(c(X0),c(domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X0)),c(domain(X0))),addition(antidomain(domain(X0)),c(domain(X0)))) ),[1,0],$fot(c(X0))]]) ).
cnf(refute_0_397,plain,
( antidomain(domain(X0)) != c(X0)
| addition(antidomain(domain(X0)),c(domain(X0))) = addition(c(X0),c(domain(X0))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X0)),c(domain(X0))),addition(antidomain(domain(X0)),c(domain(X0)))) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
addition(antidomain(domain(X0)),c(domain(X0))) = addition(c(X0),c(domain(X0))),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_52,refute_0_397]) ).
cnf(refute_0_399,plain,
( addition(antidomain(domain(X0)),c(domain(X0))) != addition(c(X0),c(domain(X0)))
| c(X0) != addition(antidomain(domain(X0)),c(domain(X0)))
| c(X0) = addition(c(X0),c(domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(c(X0),addition(antidomain(domain(X0)),c(domain(X0)))) ),[1],$fot(addition(c(X0),c(domain(X0))))]]) ).
cnf(refute_0_400,plain,
( c(X0) != addition(antidomain(domain(X0)),c(domain(X0)))
| c(X0) = addition(c(X0),c(domain(X0))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X0)),c(domain(X0))),addition(c(X0),c(domain(X0)))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
( antidomain(domain(X0)) != addition(antidomain(domain(X0)),c(domain(X0)))
| c(X0) = addition(c(X0),c(domain(X0))) ),
inference(resolve,[$cnf( $equal(c(X0),addition(antidomain(domain(X0)),c(domain(X0)))) )],[refute_0_394,refute_0_400]) ).
cnf(refute_0_402,plain,
c(X0) = addition(c(X0),c(domain(X0))),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),addition(antidomain(domain(X0)),c(domain(X0)))) )],[refute_0_392,refute_0_401]) ).
cnf(refute_0_403,plain,
c(X_441) = addition(c(X_441),c(domain(X_441))),
inference(subst,[],[refute_0_402:[bind(X0,$fot(X_441))]]) ).
cnf(refute_0_404,plain,
( c(X_441) != addition(c(X_441),c(domain(X_441)))
| addition(c(X_441),c(domain(X_441))) = c(X_441) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(c(X_441))),bind(Y,$fot(addition(c(X_441),c(domain(X_441)))))]]) ).
cnf(refute_0_405,plain,
addition(c(X_441),c(domain(X_441))) = c(X_441),
inference(resolve,[$cnf( $equal(c(X_441),addition(c(X_441),c(domain(X_441)))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
( addition(c(X_441),c(domain(X_441))) != c(X_441)
| addition(c(c(X_441)),addition(c(X_441),c(domain(X_441)))) != addition(one,c(X_441))
| addition(c(c(X_441)),c(X_441)) = addition(one,c(X_441)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(c(X_441)),addition(c(X_441),c(domain(X_441)))),addition(one,c(X_441))) ),[0,1],$fot(c(X_441))]]) ).
cnf(refute_0_407,plain,
( addition(c(c(X_441)),addition(c(X_441),c(domain(X_441)))) != addition(one,c(X_441))
| addition(c(c(X_441)),c(X_441)) = addition(one,c(X_441)) ),
inference(resolve,[$cnf( $equal(addition(c(X_441),c(domain(X_441))),c(X_441)) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
addition(c(c(X_441)),c(X_441)) = addition(one,c(X_441)),
inference(resolve,[$cnf( $equal(addition(c(c(X_441)),addition(c(X_441),c(domain(X_441)))),addition(one,c(X_441))) )],[refute_0_332,refute_0_407]) ).
cnf(refute_0_409,plain,
addition(c(c(X_441)),c(X_441)) = addition(c(X_441),c(c(X_441))),
inference(subst,[],[refute_0_23:[bind(A,$fot(c(X_441))),bind(B,$fot(c(c(X_441))))]]) ).
cnf(refute_0_410,plain,
( addition(c(c(X_441)),c(X_441)) != addition(c(X_441),c(c(X_441)))
| addition(c(c(X_441)),c(X_441)) != addition(one,c(X_441))
| addition(c(X_441),c(c(X_441))) = addition(one,c(X_441)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(c(X_441)),c(X_441)),addition(one,c(X_441))) ),[0],$fot(addition(c(X_441),c(c(X_441))))]]) ).
cnf(refute_0_411,plain,
( addition(c(c(X_441)),c(X_441)) != addition(one,c(X_441))
| addition(c(X_441),c(c(X_441))) = addition(one,c(X_441)) ),
inference(resolve,[$cnf( $equal(addition(c(c(X_441)),c(X_441)),addition(c(X_441),c(c(X_441)))) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
addition(one,c(X_441)) = one,
inference(subst,[],[refute_0_103:[bind(X_13,$fot(X_441))]]) ).
cnf(refute_0_413,plain,
( addition(c(X_441),c(c(X_441))) != addition(one,c(X_441))
| addition(one,c(X_441)) != one
| addition(c(X_441),c(c(X_441))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(c(X_441),c(c(X_441))),one) ),[0],$fot(addition(one,c(X_441)))]]) ).
cnf(refute_0_414,plain,
( addition(c(X_441),c(c(X_441))) != addition(one,c(X_441))
| addition(c(X_441),c(c(X_441))) = one ),
inference(resolve,[$cnf( $equal(addition(one,c(X_441)),one) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
( addition(c(c(X_441)),c(X_441)) != addition(one,c(X_441))
| addition(c(X_441),c(c(X_441))) = one ),
inference(resolve,[$cnf( $equal(addition(c(X_441),c(c(X_441))),addition(one,c(X_441))) )],[refute_0_411,refute_0_414]) ).
cnf(refute_0_416,plain,
addition(c(X_441),c(c(X_441))) = one,
inference(resolve,[$cnf( $equal(addition(c(c(X_441)),c(X_441)),addition(one,c(X_441))) )],[refute_0_408,refute_0_415]) ).
cnf(refute_0_417,plain,
addition(c(X_442),c(c(X_442))) = one,
inference(subst,[],[refute_0_416:[bind(X_441,$fot(X_442))]]) ).
cnf(refute_0_418,plain,
( addition(c(X_442),c(c(X_442))) != one
| multiplication(antidomain(c(X_442)),addition(c(X_442),c(c(X_442)))) != multiplication(antidomain(c(X_442)),c(c(X_442)))
| multiplication(antidomain(c(X_442)),one) = multiplication(antidomain(c(X_442)),c(c(X_442))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(c(X_442)),addition(c(X_442),c(c(X_442)))),multiplication(antidomain(c(X_442)),c(c(X_442)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_419,plain,
( multiplication(antidomain(c(X_442)),addition(c(X_442),c(c(X_442)))) != multiplication(antidomain(c(X_442)),c(c(X_442)))
| multiplication(antidomain(c(X_442)),one) = multiplication(antidomain(c(X_442)),c(c(X_442))) ),
inference(resolve,[$cnf( $equal(addition(c(X_442),c(c(X_442))),one) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
multiplication(antidomain(c(X_442)),one) = multiplication(antidomain(c(X_442)),c(c(X_442))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X_442)),addition(c(X_442),c(c(X_442)))),multiplication(antidomain(c(X_442)),c(c(X_442)))) )],[refute_0_311,refute_0_419]) ).
cnf(refute_0_421,plain,
multiplication(antidomain(c(X_442)),one) = antidomain(c(X_442)),
inference(subst,[],[refute_0_2:[bind(A,$fot(antidomain(c(X_442))))]]) ).
cnf(refute_0_422,plain,
( multiplication(antidomain(c(X_442)),one) != antidomain(c(X_442))
| multiplication(antidomain(c(X_442)),one) != multiplication(antidomain(c(X_442)),c(c(X_442)))
| antidomain(c(X_442)) = multiplication(antidomain(c(X_442)),c(c(X_442))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(c(X_442)),one),multiplication(antidomain(c(X_442)),c(c(X_442)))) ),[0],$fot(antidomain(c(X_442)))]]) ).
cnf(refute_0_423,plain,
( multiplication(antidomain(c(X_442)),one) != multiplication(antidomain(c(X_442)),c(c(X_442)))
| antidomain(c(X_442)) = multiplication(antidomain(c(X_442)),c(c(X_442))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X_442)),one),antidomain(c(X_442))) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
domain(c(X_442)) = c(domain(X_442)),
inference(subst,[],[refute_0_317:[bind(X0,$fot(X_442))]]) ).
cnf(refute_0_425,plain,
domain_difference(domain(X_442),domain(c(X_442))) = domain_difference(domain(X_442),domain(c(X_442))),
introduced(tautology,[refl,[$fot(domain_difference(domain(X_442),domain(c(X_442))))]]) ).
cnf(refute_0_426,plain,
( domain(c(X_442)) != c(domain(X_442))
| domain_difference(domain(X_442),domain(c(X_442))) != domain_difference(domain(X_442),domain(c(X_442)))
| domain_difference(domain(X_442),domain(c(X_442))) = domain_difference(domain(X_442),c(domain(X_442))) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(X_442),domain(c(X_442))),domain_difference(domain(X_442),domain(c(X_442)))) ),[1,1],$fot(c(domain(X_442)))]]) ).
cnf(refute_0_427,plain,
( domain(c(X_442)) != c(domain(X_442))
| domain_difference(domain(X_442),domain(c(X_442))) = domain_difference(domain(X_442),c(domain(X_442))) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(X_442),domain(c(X_442))),domain_difference(domain(X_442),domain(c(X_442)))) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
domain_difference(domain(X_442),domain(c(X_442))) = domain_difference(domain(X_442),c(domain(X_442))),
inference(resolve,[$cnf( $equal(domain(c(X_442)),c(domain(X_442))) )],[refute_0_424,refute_0_427]) ).
cnf(refute_0_429,plain,
domain_difference(X_31,domain(X0)) = multiplication(domain(X_31),antidomain(domain(X0))),
inference(subst,[],[refute_0_8:[bind(X0,$fot(X_31)),bind(X1,$fot(domain(X0)))]]) ).
cnf(refute_0_430,plain,
( antidomain(domain(X0)) != c(X0)
| domain_difference(X_31,domain(X0)) != multiplication(domain(X_31),antidomain(domain(X0)))
| domain_difference(X_31,domain(X0)) = multiplication(domain(X_31),c(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(X_31,domain(X0)),multiplication(domain(X_31),antidomain(domain(X0)))) ),[1,1],$fot(c(X0))]]) ).
cnf(refute_0_431,plain,
( domain_difference(X_31,domain(X0)) != multiplication(domain(X_31),antidomain(domain(X0)))
| domain_difference(X_31,domain(X0)) = multiplication(domain(X_31),c(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_52,refute_0_430]) ).
cnf(refute_0_432,plain,
domain_difference(X_31,domain(X0)) = multiplication(domain(X_31),c(X0)),
inference(resolve,[$cnf( $equal(domain_difference(X_31,domain(X0)),multiplication(domain(X_31),antidomain(domain(X0)))) )],[refute_0_429,refute_0_431]) ).
cnf(refute_0_433,plain,
domain_difference(domain(X0),domain(X_65)) = multiplication(domain(domain(X0)),c(X_65)),
inference(subst,[],[refute_0_432:[bind(X0,$fot(X_65)),bind(X_31,$fot(domain(X0)))]]) ).
cnf(refute_0_434,plain,
( domain(domain(X0)) != antidomain(c(X0))
| domain_difference(domain(X0),domain(X_65)) != multiplication(domain(domain(X0)),c(X_65))
| domain_difference(domain(X0),domain(X_65)) = multiplication(antidomain(c(X0)),c(X_65)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(X0),domain(X_65)),multiplication(domain(domain(X0)),c(X_65))) ),[1,0],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_435,plain,
( domain_difference(domain(X0),domain(X_65)) != multiplication(domain(domain(X0)),c(X_65))
| domain_difference(domain(X0),domain(X_65)) = multiplication(antidomain(c(X0)),c(X_65)) ),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_346,refute_0_434]) ).
cnf(refute_0_436,plain,
domain_difference(domain(X0),domain(X_65)) = multiplication(antidomain(c(X0)),c(X_65)),
inference(resolve,[$cnf( $equal(domain_difference(domain(X0),domain(X_65)),multiplication(domain(domain(X0)),c(X_65))) )],[refute_0_433,refute_0_435]) ).
cnf(refute_0_437,plain,
( domain_difference(domain(X0),domain(X_65)) != multiplication(antidomain(c(X0)),c(X_65))
| multiplication(antidomain(c(X0)),c(X_65)) = domain_difference(domain(X0),domain(X_65)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(domain_difference(domain(X0),domain(X_65)))),bind(Y,$fot(multiplication(antidomain(c(X0)),c(X_65))))]]) ).
cnf(refute_0_438,plain,
multiplication(antidomain(c(X0)),c(X_65)) = domain_difference(domain(X0),domain(X_65)),
inference(resolve,[$cnf( $equal(domain_difference(domain(X0),domain(X_65)),multiplication(antidomain(c(X0)),c(X_65))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
multiplication(antidomain(c(X_442)),c(c(X_442))) = domain_difference(domain(X_442),domain(c(X_442))),
inference(subst,[],[refute_0_438:[bind(X0,$fot(X_442)),bind(X_65,$fot(c(X_442)))]]) ).
cnf(refute_0_440,plain,
( domain_difference(domain(X_442),domain(c(X_442))) != domain_difference(domain(X_442),c(domain(X_442)))
| multiplication(antidomain(c(X_442)),c(c(X_442))) != domain_difference(domain(X_442),domain(c(X_442)))
| multiplication(antidomain(c(X_442)),c(c(X_442))) = domain_difference(domain(X_442),c(domain(X_442))) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(multiplication(antidomain(c(X_442)),c(c(X_442))))),bind(Y,$fot(domain_difference(domain(X_442),domain(c(X_442))))),bind(Z,$fot(domain_difference(domain(X_442),c(domain(X_442)))))]]) ).
cnf(refute_0_441,plain,
( domain_difference(domain(X_442),domain(c(X_442))) != domain_difference(domain(X_442),c(domain(X_442)))
| multiplication(antidomain(c(X_442)),c(c(X_442))) = domain_difference(domain(X_442),c(domain(X_442))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X_442)),c(c(X_442))),domain_difference(domain(X_442),domain(c(X_442)))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
multiplication(antidomain(c(X_442)),c(c(X_442))) = domain_difference(domain(X_442),c(domain(X_442))),
inference(resolve,[$cnf( $equal(domain_difference(domain(X_442),domain(c(X_442))),domain_difference(domain(X_442),c(domain(X_442)))) )],[refute_0_428,refute_0_441]) ).
cnf(refute_0_443,plain,
( antidomain(c(X_442)) != multiplication(antidomain(c(X_442)),c(c(X_442)))
| multiplication(antidomain(c(X_442)),c(c(X_442))) != domain_difference(domain(X_442),c(domain(X_442)))
| antidomain(c(X_442)) = domain_difference(domain(X_442),c(domain(X_442))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(antidomain(c(X_442)),domain_difference(domain(X_442),c(domain(X_442)))) ),[0],$fot(multiplication(antidomain(c(X_442)),c(c(X_442))))]]) ).
cnf(refute_0_444,plain,
( antidomain(c(X_442)) != multiplication(antidomain(c(X_442)),c(c(X_442)))
| antidomain(c(X_442)) = domain_difference(domain(X_442),c(domain(X_442))) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X_442)),c(c(X_442))),domain_difference(domain(X_442),c(domain(X_442)))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
( multiplication(antidomain(c(X_442)),one) != multiplication(antidomain(c(X_442)),c(c(X_442)))
| antidomain(c(X_442)) = domain_difference(domain(X_442),c(domain(X_442))) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_442)),multiplication(antidomain(c(X_442)),c(c(X_442)))) )],[refute_0_423,refute_0_444]) ).
cnf(refute_0_446,plain,
antidomain(c(X_442)) = domain_difference(domain(X_442),c(domain(X_442))),
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(X_442)),one),multiplication(antidomain(c(X_442)),c(c(X_442)))) )],[refute_0_420,refute_0_445]) ).
cnf(refute_0_447,plain,
antidomain(c(X_443)) = domain_difference(domain(X_443),c(domain(X_443))),
inference(subst,[],[refute_0_446:[bind(X_442,$fot(X_443))]]) ).
cnf(refute_0_448,plain,
( antidomain(c(X_443)) != domain_difference(domain(X_443),c(domain(X_443)))
| domain_difference(domain(X_443),c(domain(X_443))) = antidomain(c(X_443)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(antidomain(c(X_443)))),bind(Y,$fot(domain_difference(domain(X_443),c(domain(X_443)))))]]) ).
cnf(refute_0_449,plain,
domain_difference(domain(X_443),c(domain(X_443))) = antidomain(c(X_443)),
inference(resolve,[$cnf( $equal(antidomain(c(X_443)),domain_difference(domain(X_443),c(domain(X_443)))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
( antidomain(c(domain(X_443))) != addition(antidomain(c(domain(X_443))),domain_difference(domain(X_443),c(domain(X_443))))
| domain_difference(domain(X_443),c(domain(X_443))) != antidomain(c(X_443))
| antidomain(c(domain(X_443))) = addition(antidomain(c(domain(X_443))),antidomain(c(X_443))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(domain(X_443))),addition(antidomain(c(domain(X_443))),domain_difference(domain(X_443),c(domain(X_443))))) ),[1,1],$fot(antidomain(c(X_443)))]]) ).
cnf(refute_0_451,plain,
( antidomain(c(domain(X_443))) != addition(antidomain(c(domain(X_443))),domain_difference(domain(X_443),c(domain(X_443))))
| antidomain(c(domain(X_443))) = addition(antidomain(c(domain(X_443))),antidomain(c(X_443))) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(X_443),c(domain(X_443))),antidomain(c(X_443))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
antidomain(c(domain(X_443))) = addition(antidomain(c(domain(X_443))),antidomain(c(X_443))),
inference(resolve,[$cnf( $equal(antidomain(c(domain(X_443))),addition(antidomain(c(domain(X_443))),domain_difference(domain(X_443),c(domain(X_443))))) )],[refute_0_301,refute_0_451]) ).
cnf(refute_0_453,plain,
domain(domain(domain(X_19))) = antidomain(c(domain(X_19))),
inference(subst,[],[refute_0_346:[bind(X0,$fot(domain(X_19)))]]) ).
cnf(refute_0_454,plain,
domain(domain(X_19)) = antidomain(c(X_19)),
inference(subst,[],[refute_0_346:[bind(X0,$fot(X_19))]]) ).
cnf(refute_0_455,plain,
( domain(domain(X_19)) != antidomain(c(X_19))
| domain(domain(domain(X_19))) != antidomain(c(domain(X_19)))
| domain(antidomain(c(X_19))) = antidomain(c(domain(X_19))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(domain(X_19))),antidomain(c(domain(X_19)))) ),[0,0],$fot(antidomain(c(X_19)))]]) ).
cnf(refute_0_456,plain,
( domain(domain(domain(X_19))) != antidomain(c(domain(X_19)))
| domain(antidomain(c(X_19))) = antidomain(c(domain(X_19))) ),
inference(resolve,[$cnf( $equal(domain(domain(X_19)),antidomain(c(X_19))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
domain(antidomain(c(X_19))) = antidomain(c(domain(X_19))),
inference(resolve,[$cnf( $equal(domain(domain(domain(X_19))),antidomain(c(domain(X_19)))) )],[refute_0_453,refute_0_456]) ).
cnf(refute_0_458,plain,
domain(antidomain(c(X_19))) = c(c(X_19)),
inference(subst,[],[refute_0_56:[bind(X_13,$fot(c(X_19)))]]) ).
cnf(refute_0_459,plain,
( domain(antidomain(c(X_19))) != antidomain(c(domain(X_19)))
| domain(antidomain(c(X_19))) != c(c(X_19))
| c(c(X_19)) = antidomain(c(domain(X_19))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(c(X_19))),antidomain(c(domain(X_19)))) ),[0],$fot(c(c(X_19)))]]) ).
cnf(refute_0_460,plain,
( domain(antidomain(c(X_19))) != antidomain(c(domain(X_19)))
| c(c(X_19)) = antidomain(c(domain(X_19))) ),
inference(resolve,[$cnf( $equal(domain(antidomain(c(X_19))),c(c(X_19))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
c(c(X_19)) = antidomain(c(domain(X_19))),
inference(resolve,[$cnf( $equal(domain(antidomain(c(X_19))),antidomain(c(domain(X_19)))) )],[refute_0_457,refute_0_460]) ).
cnf(refute_0_462,plain,
( c(c(X_19)) != antidomain(c(domain(X_19)))
| antidomain(c(domain(X_19))) = c(c(X_19)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(c(c(X_19)))),bind(Y,$fot(antidomain(c(domain(X_19)))))]]) ).
cnf(refute_0_463,plain,
antidomain(c(domain(X_19))) = c(c(X_19)),
inference(resolve,[$cnf( $equal(c(c(X_19)),antidomain(c(domain(X_19)))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
antidomain(c(domain(X_443))) = c(c(X_443)),
inference(subst,[],[refute_0_463:[bind(X_19,$fot(X_443))]]) ).
cnf(refute_0_465,plain,
( antidomain(c(domain(X_443))) != addition(antidomain(c(domain(X_443))),antidomain(c(X_443)))
| antidomain(c(domain(X_443))) != c(c(X_443))
| c(c(X_443)) = addition(antidomain(c(domain(X_443))),antidomain(c(X_443))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(domain(X_443))),addition(antidomain(c(domain(X_443))),antidomain(c(X_443)))) ),[0],$fot(c(c(X_443)))]]) ).
cnf(refute_0_466,plain,
( antidomain(c(domain(X_443))) != addition(antidomain(c(domain(X_443))),antidomain(c(X_443)))
| c(c(X_443)) = addition(antidomain(c(domain(X_443))),antidomain(c(X_443))) ),
inference(resolve,[$cnf( $equal(antidomain(c(domain(X_443))),c(c(X_443))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
antidomain(c(X0)) = addition(antidomain(c(X0)),domain_difference(antidomain(c(X0)),c(X0))),
inference(subst,[],[refute_0_300:[bind(X0,$fot(antidomain(c(X0)))),bind(X1,$fot(c(X0)))]]) ).
cnf(refute_0_468,plain,
antidomain(c(domain(X0))) = domain_difference(domain(domain(X0)),antidomain(domain(X0))),
inference(subst,[],[refute_0_355:[bind(X_13,$fot(domain(X0)))]]) ).
cnf(refute_0_469,plain,
( antidomain(c(domain(X0))) != domain_difference(domain(domain(X0)),antidomain(domain(X0)))
| antidomain(domain(X0)) != c(X0)
| antidomain(c(domain(X0))) = domain_difference(domain(domain(X0)),c(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(domain(X0))),domain_difference(domain(domain(X0)),antidomain(domain(X0)))) ),[1,1],$fot(c(X0))]]) ).
cnf(refute_0_470,plain,
( antidomain(c(domain(X0))) != domain_difference(domain(domain(X0)),antidomain(domain(X0)))
| antidomain(c(domain(X0))) = domain_difference(domain(domain(X0)),c(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X0)),c(X0)) )],[refute_0_52,refute_0_469]) ).
cnf(refute_0_471,plain,
antidomain(c(domain(X0))) = domain_difference(domain(domain(X0)),c(X0)),
inference(resolve,[$cnf( $equal(antidomain(c(domain(X0))),domain_difference(domain(domain(X0)),antidomain(domain(X0)))) )],[refute_0_468,refute_0_470]) ).
cnf(refute_0_472,plain,
antidomain(c(domain(X0))) = c(c(X0)),
inference(subst,[],[refute_0_463:[bind(X_19,$fot(X0))]]) ).
cnf(refute_0_473,plain,
( antidomain(c(domain(X0))) != c(c(X0))
| antidomain(c(domain(X0))) != domain_difference(domain(domain(X0)),c(X0))
| c(c(X0)) = domain_difference(domain(domain(X0)),c(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(domain(X0))),domain_difference(domain(domain(X0)),c(X0))) ),[0],$fot(c(c(X0)))]]) ).
cnf(refute_0_474,plain,
( antidomain(c(domain(X0))) != domain_difference(domain(domain(X0)),c(X0))
| c(c(X0)) = domain_difference(domain(domain(X0)),c(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(c(domain(X0))),c(c(X0))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
domain_difference(domain(domain(X0)),c(X0)) = domain_difference(domain(domain(X0)),c(X0)),
introduced(tautology,[refl,[$fot(domain_difference(domain(domain(X0)),c(X0)))]]) ).
cnf(refute_0_476,plain,
( domain(domain(X0)) != antidomain(c(X0))
| domain_difference(domain(domain(X0)),c(X0)) != domain_difference(domain(domain(X0)),c(X0))
| domain_difference(domain(domain(X0)),c(X0)) = domain_difference(antidomain(c(X0)),c(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(domain(X0)),c(X0)),domain_difference(domain(domain(X0)),c(X0))) ),[1,0],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_477,plain,
( domain(domain(X0)) != antidomain(c(X0))
| domain_difference(domain(domain(X0)),c(X0)) = domain_difference(antidomain(c(X0)),c(X0)) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(domain(X0)),c(X0)),domain_difference(domain(domain(X0)),c(X0))) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
domain_difference(domain(domain(X0)),c(X0)) = domain_difference(antidomain(c(X0)),c(X0)),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_346,refute_0_477]) ).
cnf(refute_0_479,plain,
( c(c(X0)) != domain_difference(domain(domain(X0)),c(X0))
| domain_difference(domain(domain(X0)),c(X0)) != domain_difference(antidomain(c(X0)),c(X0))
| c(c(X0)) = domain_difference(antidomain(c(X0)),c(X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c(c(X0)),domain_difference(antidomain(c(X0)),c(X0))) ),[0],$fot(domain_difference(domain(domain(X0)),c(X0)))]]) ).
cnf(refute_0_480,plain,
( c(c(X0)) != domain_difference(domain(domain(X0)),c(X0))
| c(c(X0)) = domain_difference(antidomain(c(X0)),c(X0)) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(domain(X0)),c(X0)),domain_difference(antidomain(c(X0)),c(X0))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
( antidomain(c(domain(X0))) != domain_difference(domain(domain(X0)),c(X0))
| c(c(X0)) = domain_difference(antidomain(c(X0)),c(X0)) ),
inference(resolve,[$cnf( $equal(c(c(X0)),domain_difference(domain(domain(X0)),c(X0))) )],[refute_0_474,refute_0_480]) ).
cnf(refute_0_482,plain,
c(c(X0)) = domain_difference(antidomain(c(X0)),c(X0)),
inference(resolve,[$cnf( $equal(antidomain(c(domain(X0))),domain_difference(domain(domain(X0)),c(X0))) )],[refute_0_471,refute_0_481]) ).
cnf(refute_0_483,plain,
( c(c(X0)) != domain_difference(antidomain(c(X0)),c(X0))
| domain_difference(antidomain(c(X0)),c(X0)) = c(c(X0)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(c(c(X0)))),bind(Y,$fot(domain_difference(antidomain(c(X0)),c(X0))))]]) ).
cnf(refute_0_484,plain,
domain_difference(antidomain(c(X0)),c(X0)) = c(c(X0)),
inference(resolve,[$cnf( $equal(c(c(X0)),domain_difference(antidomain(c(X0)),c(X0))) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
( antidomain(c(X0)) != addition(antidomain(c(X0)),domain_difference(antidomain(c(X0)),c(X0)))
| domain_difference(antidomain(c(X0)),c(X0)) != c(c(X0))
| antidomain(c(X0)) = addition(antidomain(c(X0)),c(c(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(c(X0)),addition(antidomain(c(X0)),domain_difference(antidomain(c(X0)),c(X0)))) ),[1,1],$fot(c(c(X0)))]]) ).
cnf(refute_0_486,plain,
( antidomain(c(X0)) != addition(antidomain(c(X0)),domain_difference(antidomain(c(X0)),c(X0)))
| antidomain(c(X0)) = addition(antidomain(c(X0)),c(c(X0))) ),
inference(resolve,[$cnf( $equal(domain_difference(antidomain(c(X0)),c(X0)),c(c(X0))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
antidomain(c(X0)) = addition(antidomain(c(X0)),c(c(X0))),
inference(resolve,[$cnf( $equal(antidomain(c(X0)),addition(antidomain(c(X0)),domain_difference(antidomain(c(X0)),c(X0)))) )],[refute_0_467,refute_0_486]) ).
cnf(refute_0_488,plain,
( antidomain(c(X0)) != addition(antidomain(c(X0)),c(c(X0)))
| addition(antidomain(c(X0)),c(c(X0))) = antidomain(c(X0)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(antidomain(c(X0)))),bind(Y,$fot(addition(antidomain(c(X0)),c(c(X0)))))]]) ).
cnf(refute_0_489,plain,
addition(antidomain(c(X0)),c(c(X0))) = antidomain(c(X0)),
inference(resolve,[$cnf( $equal(antidomain(c(X0)),addition(antidomain(c(X0)),c(c(X0)))) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
addition(antidomain(c(X_443)),c(c(X_443))) = antidomain(c(X_443)),
inference(subst,[],[refute_0_489:[bind(X0,$fot(X_443))]]) ).
cnf(refute_0_491,plain,
addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))) = addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))),
introduced(tautology,[refl,[$fot(addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))))]]) ).
cnf(refute_0_492,plain,
( addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))) != addition(antidomain(c(X_443)),antidomain(c(domain(X_443))))
| antidomain(c(domain(X_443))) != c(c(X_443))
| addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))) = addition(antidomain(c(X_443)),c(c(X_443))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))),addition(antidomain(c(X_443)),antidomain(c(domain(X_443))))) ),[1,1],$fot(c(c(X_443)))]]) ).
cnf(refute_0_493,plain,
( antidomain(c(domain(X_443))) != c(c(X_443))
| addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))) = addition(antidomain(c(X_443)),c(c(X_443))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))),addition(antidomain(c(X_443)),antidomain(c(domain(X_443))))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))) = addition(antidomain(c(X_443)),c(c(X_443))),
inference(resolve,[$cnf( $equal(antidomain(c(domain(X_443))),c(c(X_443))) )],[refute_0_464,refute_0_493]) ).
cnf(refute_0_495,plain,
( addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))) != addition(antidomain(c(X_443)),c(c(X_443)))
| addition(antidomain(c(X_443)),c(c(X_443))) != antidomain(c(X_443))
| addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))) = antidomain(c(X_443)) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))))),bind(Y,$fot(addition(antidomain(c(X_443)),c(c(X_443))))),bind(Z,$fot(antidomain(c(X_443))))]]) ).
cnf(refute_0_496,plain,
( addition(antidomain(c(X_443)),c(c(X_443))) != antidomain(c(X_443))
| addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))) = antidomain(c(X_443)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))),addition(antidomain(c(X_443)),c(c(X_443)))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))) = antidomain(c(X_443)),
inference(resolve,[$cnf( $equal(addition(antidomain(c(X_443)),c(c(X_443))),antidomain(c(X_443))) )],[refute_0_490,refute_0_496]) ).
cnf(refute_0_498,plain,
addition(antidomain(c(domain(X_443))),antidomain(c(X_443))) = addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))),
inference(subst,[],[refute_0_23:[bind(A,$fot(antidomain(c(X_443)))),bind(B,$fot(antidomain(c(domain(X_443)))))]]) ).
cnf(refute_0_499,plain,
( addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))) != antidomain(c(X_443))
| addition(antidomain(c(domain(X_443))),antidomain(c(X_443))) != addition(antidomain(c(X_443)),antidomain(c(domain(X_443))))
| addition(antidomain(c(domain(X_443))),antidomain(c(X_443))) = antidomain(c(X_443)) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(addition(antidomain(c(domain(X_443))),antidomain(c(X_443))))),bind(Y,$fot(addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))))),bind(Z,$fot(antidomain(c(X_443))))]]) ).
cnf(refute_0_500,plain,
( addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))) != antidomain(c(X_443))
| addition(antidomain(c(domain(X_443))),antidomain(c(X_443))) = antidomain(c(X_443)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(c(domain(X_443))),antidomain(c(X_443))),addition(antidomain(c(X_443)),antidomain(c(domain(X_443))))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
addition(antidomain(c(domain(X_443))),antidomain(c(X_443))) = antidomain(c(X_443)),
inference(resolve,[$cnf( $equal(addition(antidomain(c(X_443)),antidomain(c(domain(X_443)))),antidomain(c(X_443))) )],[refute_0_497,refute_0_500]) ).
cnf(refute_0_502,plain,
( addition(antidomain(c(domain(X_443))),antidomain(c(X_443))) != antidomain(c(X_443))
| c(c(X_443)) != addition(antidomain(c(domain(X_443))),antidomain(c(X_443)))
| c(c(X_443)) = antidomain(c(X_443)) ),
introduced(tautology,[equality,[$cnf( $equal(c(c(X_443)),addition(antidomain(c(domain(X_443))),antidomain(c(X_443)))) ),[1],$fot(antidomain(c(X_443)))]]) ).
cnf(refute_0_503,plain,
( c(c(X_443)) != addition(antidomain(c(domain(X_443))),antidomain(c(X_443)))
| c(c(X_443)) = antidomain(c(X_443)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(c(domain(X_443))),antidomain(c(X_443))),antidomain(c(X_443))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
( antidomain(c(domain(X_443))) != addition(antidomain(c(domain(X_443))),antidomain(c(X_443)))
| c(c(X_443)) = antidomain(c(X_443)) ),
inference(resolve,[$cnf( $equal(c(c(X_443)),addition(antidomain(c(domain(X_443))),antidomain(c(X_443)))) )],[refute_0_466,refute_0_503]) ).
cnf(refute_0_505,plain,
c(c(X_443)) = antidomain(c(X_443)),
inference(resolve,[$cnf( $equal(antidomain(c(domain(X_443))),addition(antidomain(c(domain(X_443))),antidomain(c(X_443)))) )],[refute_0_452,refute_0_504]) ).
cnf(refute_0_506,plain,
addition(antidomain(multiplication(one,X_603)),antidomain(multiplication(one,domain(X_603)))) = antidomain(multiplication(one,domain(X_603))),
inference(subst,[],[refute_0_149:[bind(X0,$fot(one)),bind(X1,$fot(X_603))]]) ).
cnf(refute_0_507,plain,
multiplication(one,domain(X_603)) = domain(X_603),
inference(subst,[],[refute_0_226:[bind(A,$fot(domain(X_603)))]]) ).
cnf(refute_0_508,plain,
( addition(antidomain(multiplication(one,X_603)),antidomain(multiplication(one,domain(X_603)))) != antidomain(multiplication(one,domain(X_603)))
| multiplication(one,domain(X_603)) != domain(X_603)
| addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))) = antidomain(multiplication(one,domain(X_603))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(one,X_603)),antidomain(multiplication(one,domain(X_603)))),antidomain(multiplication(one,domain(X_603)))) ),[0,1,0],$fot(domain(X_603))]]) ).
cnf(refute_0_509,plain,
( addition(antidomain(multiplication(one,X_603)),antidomain(multiplication(one,domain(X_603)))) != antidomain(multiplication(one,domain(X_603)))
| addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))) = antidomain(multiplication(one,domain(X_603))) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_603)),domain(X_603)) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))) = antidomain(multiplication(one,domain(X_603))),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_603)),antidomain(multiplication(one,domain(X_603)))),antidomain(multiplication(one,domain(X_603)))) )],[refute_0_506,refute_0_509]) ).
cnf(refute_0_511,plain,
addition(c(X_603),antidomain(X_603)) = addition(antidomain(X_603),c(X_603)),
inference(subst,[],[refute_0_23:[bind(A,$fot(antidomain(X_603))),bind(B,$fot(c(X_603)))]]) ).
cnf(refute_0_512,plain,
multiplication(one,X_603) = X_603,
inference(subst,[],[refute_0_226:[bind(A,$fot(X_603))]]) ).
cnf(refute_0_513,plain,
antidomain(multiplication(one,X_603)) = antidomain(multiplication(one,X_603)),
introduced(tautology,[refl,[$fot(antidomain(multiplication(one,X_603)))]]) ).
cnf(refute_0_514,plain,
( antidomain(multiplication(one,X_603)) != antidomain(multiplication(one,X_603))
| multiplication(one,X_603) != X_603
| antidomain(multiplication(one,X_603)) = antidomain(X_603) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(one,X_603)),antidomain(multiplication(one,X_603))) ),[1,0],$fot(X_603)]]) ).
cnf(refute_0_515,plain,
( multiplication(one,X_603) != X_603
| antidomain(multiplication(one,X_603)) = antidomain(X_603) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,X_603)),antidomain(multiplication(one,X_603))) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
antidomain(multiplication(one,X_603)) = antidomain(X_603),
inference(resolve,[$cnf( $equal(multiplication(one,X_603),X_603) )],[refute_0_512,refute_0_515]) ).
cnf(refute_0_517,plain,
addition(c(X_603),antidomain(multiplication(one,X_603))) = addition(c(X_603),antidomain(multiplication(one,X_603))),
introduced(tautology,[refl,[$fot(addition(c(X_603),antidomain(multiplication(one,X_603))))]]) ).
cnf(refute_0_518,plain,
( addition(c(X_603),antidomain(multiplication(one,X_603))) != addition(c(X_603),antidomain(multiplication(one,X_603)))
| antidomain(multiplication(one,X_603)) != antidomain(X_603)
| addition(c(X_603),antidomain(multiplication(one,X_603))) = addition(c(X_603),antidomain(X_603)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(c(X_603),antidomain(multiplication(one,X_603))),addition(c(X_603),antidomain(multiplication(one,X_603)))) ),[1,1],$fot(antidomain(X_603))]]) ).
cnf(refute_0_519,plain,
( antidomain(multiplication(one,X_603)) != antidomain(X_603)
| addition(c(X_603),antidomain(multiplication(one,X_603))) = addition(c(X_603),antidomain(X_603)) ),
inference(resolve,[$cnf( $equal(addition(c(X_603),antidomain(multiplication(one,X_603))),addition(c(X_603),antidomain(multiplication(one,X_603)))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
addition(c(X_603),antidomain(multiplication(one,X_603))) = addition(c(X_603),antidomain(X_603)),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,X_603)),antidomain(X_603)) )],[refute_0_516,refute_0_519]) ).
cnf(refute_0_521,plain,
antidomain(domain(X_603)) = c(X_603),
inference(subst,[],[refute_0_52:[bind(X0,$fot(X_603))]]) ).
cnf(refute_0_522,plain,
addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))) = addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))),
introduced(tautology,[refl,[$fot(addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))))]]) ).
cnf(refute_0_523,plain,
( addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))) != addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603)))
| antidomain(domain(X_603)) != c(X_603)
| addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))) = addition(c(X_603),antidomain(multiplication(one,X_603))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))),addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603)))) ),[1,0],$fot(c(X_603))]]) ).
cnf(refute_0_524,plain,
( antidomain(domain(X_603)) != c(X_603)
| addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))) = addition(c(X_603),antidomain(multiplication(one,X_603))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))),addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603)))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))) = addition(c(X_603),antidomain(multiplication(one,X_603))),
inference(resolve,[$cnf( $equal(antidomain(domain(X_603)),c(X_603)) )],[refute_0_521,refute_0_524]) ).
cnf(refute_0_526,plain,
( addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))) != addition(c(X_603),antidomain(multiplication(one,X_603)))
| addition(c(X_603),antidomain(multiplication(one,X_603))) != addition(c(X_603),antidomain(X_603))
| addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))) = addition(c(X_603),antidomain(X_603)) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))))),bind(Y,$fot(addition(c(X_603),antidomain(multiplication(one,X_603))))),bind(Z,$fot(addition(c(X_603),antidomain(X_603))))]]) ).
cnf(refute_0_527,plain,
( addition(c(X_603),antidomain(multiplication(one,X_603))) != addition(c(X_603),antidomain(X_603))
| addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))) = addition(c(X_603),antidomain(X_603)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))),addition(c(X_603),antidomain(multiplication(one,X_603)))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))) = addition(c(X_603),antidomain(X_603)),
inference(resolve,[$cnf( $equal(addition(c(X_603),antidomain(multiplication(one,X_603))),addition(c(X_603),antidomain(X_603))) )],[refute_0_520,refute_0_527]) ).
cnf(refute_0_529,plain,
( addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))) != addition(c(X_603),antidomain(X_603))
| addition(c(X_603),antidomain(X_603)) != addition(antidomain(X_603),c(X_603))
| addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))) = addition(antidomain(X_603),c(X_603)) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))))),bind(Y,$fot(addition(c(X_603),antidomain(X_603)))),bind(Z,$fot(addition(antidomain(X_603),c(X_603))))]]) ).
cnf(refute_0_530,plain,
( addition(c(X_603),antidomain(X_603)) != addition(antidomain(X_603),c(X_603))
| addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))) = addition(antidomain(X_603),c(X_603)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))),addition(c(X_603),antidomain(X_603))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))) = addition(antidomain(X_603),c(X_603)),
inference(resolve,[$cnf( $equal(addition(c(X_603),antidomain(X_603)),addition(antidomain(X_603),c(X_603))) )],[refute_0_511,refute_0_530]) ).
cnf(refute_0_532,plain,
addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))) = addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))),
inference(subst,[],[refute_0_23:[bind(A,$fot(antidomain(domain(X_603)))),bind(B,$fot(antidomain(multiplication(one,X_603))))]]) ).
cnf(refute_0_533,plain,
( addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))) != addition(antidomain(X_603),c(X_603))
| addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))) != addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603)))
| addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))) = addition(antidomain(X_603),c(X_603)) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))))),bind(Y,$fot(addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))))),bind(Z,$fot(addition(antidomain(X_603),c(X_603))))]]) ).
cnf(refute_0_534,plain,
( addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))) != addition(antidomain(X_603),c(X_603))
| addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))) = addition(antidomain(X_603),c(X_603)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))),addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603)))) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))) = addition(antidomain(X_603),c(X_603)),
inference(resolve,[$cnf( $equal(addition(antidomain(domain(X_603)),antidomain(multiplication(one,X_603))),addition(antidomain(X_603),c(X_603))) )],[refute_0_531,refute_0_534]) ).
cnf(refute_0_536,plain,
( addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))) != addition(antidomain(X_603),c(X_603))
| addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))) != antidomain(multiplication(one,domain(X_603)))
| addition(antidomain(X_603),c(X_603)) = antidomain(multiplication(one,domain(X_603))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))),antidomain(multiplication(one,domain(X_603)))) ),[0],$fot(addition(antidomain(X_603),c(X_603)))]]) ).
cnf(refute_0_537,plain,
( addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))) != antidomain(multiplication(one,domain(X_603)))
| addition(antidomain(X_603),c(X_603)) = antidomain(multiplication(one,domain(X_603))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))),addition(antidomain(X_603),c(X_603))) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
antidomain(multiplication(one,domain(X_603))) = antidomain(multiplication(one,domain(X_603))),
introduced(tautology,[refl,[$fot(antidomain(multiplication(one,domain(X_603))))]]) ).
cnf(refute_0_539,plain,
( antidomain(multiplication(one,domain(X_603))) != antidomain(multiplication(one,domain(X_603)))
| multiplication(one,domain(X_603)) != domain(X_603)
| antidomain(multiplication(one,domain(X_603))) = antidomain(domain(X_603)) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(multiplication(one,domain(X_603))),antidomain(multiplication(one,domain(X_603)))) ),[1,0],$fot(domain(X_603))]]) ).
cnf(refute_0_540,plain,
( multiplication(one,domain(X_603)) != domain(X_603)
| antidomain(multiplication(one,domain(X_603))) = antidomain(domain(X_603)) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,domain(X_603))),antidomain(multiplication(one,domain(X_603)))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
antidomain(multiplication(one,domain(X_603))) = antidomain(domain(X_603)),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_603)),domain(X_603)) )],[refute_0_507,refute_0_540]) ).
cnf(refute_0_542,plain,
( antidomain(domain(X_603)) != c(X_603)
| antidomain(multiplication(one,domain(X_603))) != antidomain(domain(X_603))
| antidomain(multiplication(one,domain(X_603))) = c(X_603) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(antidomain(multiplication(one,domain(X_603))))),bind(Y,$fot(antidomain(domain(X_603)))),bind(Z,$fot(c(X_603)))]]) ).
cnf(refute_0_543,plain,
( antidomain(domain(X_603)) != c(X_603)
| antidomain(multiplication(one,domain(X_603))) = c(X_603) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,domain(X_603))),antidomain(domain(X_603))) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
antidomain(multiplication(one,domain(X_603))) = c(X_603),
inference(resolve,[$cnf( $equal(antidomain(domain(X_603)),c(X_603)) )],[refute_0_521,refute_0_543]) ).
cnf(refute_0_545,plain,
( addition(antidomain(X_603),c(X_603)) != antidomain(multiplication(one,domain(X_603)))
| antidomain(multiplication(one,domain(X_603))) != c(X_603)
| addition(antidomain(X_603),c(X_603)) = c(X_603) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(antidomain(X_603),c(X_603)),c(X_603)) ),[0],$fot(antidomain(multiplication(one,domain(X_603))))]]) ).
cnf(refute_0_546,plain,
( addition(antidomain(X_603),c(X_603)) != antidomain(multiplication(one,domain(X_603)))
| addition(antidomain(X_603),c(X_603)) = c(X_603) ),
inference(resolve,[$cnf( $equal(antidomain(multiplication(one,domain(X_603))),c(X_603)) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
( addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))) != antidomain(multiplication(one,domain(X_603)))
| addition(antidomain(X_603),c(X_603)) = c(X_603) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X_603),c(X_603)),antidomain(multiplication(one,domain(X_603)))) )],[refute_0_537,refute_0_546]) ).
cnf(refute_0_548,plain,
addition(antidomain(X_603),c(X_603)) = c(X_603),
inference(resolve,[$cnf( $equal(addition(antidomain(multiplication(one,X_603)),antidomain(domain(X_603))),antidomain(multiplication(one,domain(X_603)))) )],[refute_0_510,refute_0_547]) ).
cnf(refute_0_549,plain,
addition(antidomain(antidomain(X_16)),c(antidomain(X_16))) = c(antidomain(X_16)),
inference(subst,[],[refute_0_548:[bind(X_603,$fot(antidomain(X_16)))]]) ).
cnf(refute_0_550,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_551,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( $equal(c(antidomain(X_16)),antidomain(c(X_16))) )],[refute_0_368,refute_0_550]) ).
cnf(refute_0_552,plain,
addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) = c(antidomain(X_16)),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_16)),c(antidomain(X_16))),c(antidomain(X_16))) )],[refute_0_549,refute_0_551]) ).
cnf(refute_0_553,plain,
antidomain(antidomain(X_13)) = addition(antidomain(antidomain(X_13)),domain_difference(domain(X_13),antidomain(X_13))),
inference(subst,[],[refute_0_300:[bind(X0,$fot(domain(X_13))),bind(X1,$fot(antidomain(X_13)))]]) ).
cnf(refute_0_554,plain,
( antidomain(c(X_13)) != domain_difference(domain(X_13),antidomain(X_13))
| domain_difference(domain(X_13),antidomain(X_13)) = antidomain(c(X_13)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(antidomain(c(X_13)))),bind(Y,$fot(domain_difference(domain(X_13),antidomain(X_13))))]]) ).
cnf(refute_0_555,plain,
domain_difference(domain(X_13),antidomain(X_13)) = antidomain(c(X_13)),
inference(resolve,[$cnf( $equal(antidomain(c(X_13)),domain_difference(domain(X_13),antidomain(X_13))) )],[refute_0_355,refute_0_554]) ).
cnf(refute_0_556,plain,
( antidomain(antidomain(X_13)) != addition(antidomain(antidomain(X_13)),domain_difference(domain(X_13),antidomain(X_13)))
| domain_difference(domain(X_13),antidomain(X_13)) != antidomain(c(X_13))
| antidomain(antidomain(X_13)) = addition(antidomain(antidomain(X_13)),antidomain(c(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(antidomain(X_13)),addition(antidomain(antidomain(X_13)),domain_difference(domain(X_13),antidomain(X_13)))) ),[1,1],$fot(antidomain(c(X_13)))]]) ).
cnf(refute_0_557,plain,
( antidomain(antidomain(X_13)) != addition(antidomain(antidomain(X_13)),domain_difference(domain(X_13),antidomain(X_13)))
| antidomain(antidomain(X_13)) = addition(antidomain(antidomain(X_13)),antidomain(c(X_13))) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(X_13),antidomain(X_13)),antidomain(c(X_13))) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
antidomain(antidomain(X_13)) = addition(antidomain(antidomain(X_13)),antidomain(c(X_13))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_13)),addition(antidomain(antidomain(X_13)),domain_difference(domain(X_13),antidomain(X_13)))) )],[refute_0_553,refute_0_557]) ).
cnf(refute_0_559,plain,
( antidomain(antidomain(X_13)) != addition(antidomain(antidomain(X_13)),antidomain(c(X_13)))
| antidomain(antidomain(X_13)) != domain(X_13)
| domain(X_13) = addition(antidomain(antidomain(X_13)),antidomain(c(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(antidomain(antidomain(X_13)),addition(antidomain(antidomain(X_13)),antidomain(c(X_13)))) ),[0],$fot(domain(X_13))]]) ).
cnf(refute_0_560,plain,
( antidomain(antidomain(X_13)) != addition(antidomain(antidomain(X_13)),antidomain(c(X_13)))
| domain(X_13) = addition(antidomain(antidomain(X_13)),antidomain(c(X_13))) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_13)),domain(X_13)) )],[refute_0_41,refute_0_559]) ).
cnf(refute_0_561,plain,
addition(antidomain(antidomain(X_13)),antidomain(c(X_13))) = addition(antidomain(antidomain(X_13)),antidomain(c(X_13))),
introduced(tautology,[refl,[$fot(addition(antidomain(antidomain(X_13)),antidomain(c(X_13))))]]) ).
cnf(refute_0_562,plain,
( addition(antidomain(antidomain(X_13)),antidomain(c(X_13))) != addition(antidomain(antidomain(X_13)),antidomain(c(X_13)))
| antidomain(antidomain(X_13)) != domain(X_13)
| addition(antidomain(antidomain(X_13)),antidomain(c(X_13))) = addition(domain(X_13),antidomain(c(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_13)),antidomain(c(X_13))),addition(antidomain(antidomain(X_13)),antidomain(c(X_13)))) ),[1,0],$fot(domain(X_13))]]) ).
cnf(refute_0_563,plain,
( antidomain(antidomain(X_13)) != domain(X_13)
| addition(antidomain(antidomain(X_13)),antidomain(c(X_13))) = addition(domain(X_13),antidomain(c(X_13))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_13)),antidomain(c(X_13))),addition(antidomain(antidomain(X_13)),antidomain(c(X_13)))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
addition(antidomain(antidomain(X_13)),antidomain(c(X_13))) = addition(domain(X_13),antidomain(c(X_13))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_13)),domain(X_13)) )],[refute_0_41,refute_0_563]) ).
cnf(refute_0_565,plain,
( addition(antidomain(antidomain(X_13)),antidomain(c(X_13))) != addition(domain(X_13),antidomain(c(X_13)))
| domain(X_13) != addition(antidomain(antidomain(X_13)),antidomain(c(X_13)))
| domain(X_13) = addition(domain(X_13),antidomain(c(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(X_13),addition(antidomain(antidomain(X_13)),antidomain(c(X_13)))) ),[1],$fot(addition(domain(X_13),antidomain(c(X_13))))]]) ).
cnf(refute_0_566,plain,
( domain(X_13) != addition(antidomain(antidomain(X_13)),antidomain(c(X_13)))
| domain(X_13) = addition(domain(X_13),antidomain(c(X_13))) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_13)),antidomain(c(X_13))),addition(domain(X_13),antidomain(c(X_13)))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
( antidomain(antidomain(X_13)) != addition(antidomain(antidomain(X_13)),antidomain(c(X_13)))
| domain(X_13) = addition(domain(X_13),antidomain(c(X_13))) ),
inference(resolve,[$cnf( $equal(domain(X_13),addition(antidomain(antidomain(X_13)),antidomain(c(X_13)))) )],[refute_0_560,refute_0_566]) ).
cnf(refute_0_568,plain,
domain(X_13) = addition(domain(X_13),antidomain(c(X_13))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_13)),addition(antidomain(antidomain(X_13)),antidomain(c(X_13)))) )],[refute_0_558,refute_0_567]) ).
cnf(refute_0_569,plain,
( domain(X_13) != addition(domain(X_13),antidomain(c(X_13)))
| addition(domain(X_13),antidomain(c(X_13))) = domain(X_13) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(domain(X_13))),bind(Y,$fot(addition(domain(X_13),antidomain(c(X_13)))))]]) ).
cnf(refute_0_570,plain,
addition(domain(X_13),antidomain(c(X_13))) = domain(X_13),
inference(resolve,[$cnf( $equal(domain(X_13),addition(domain(X_13),antidomain(c(X_13)))) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
addition(domain(X_16),antidomain(c(X_16))) = domain(X_16),
inference(subst,[],[refute_0_570:[bind(X_13,$fot(X_16))]]) ).
cnf(refute_0_572,plain,
antidomain(antidomain(X_16)) = domain(X_16),
inference(subst,[],[refute_0_30:[bind(X0,$fot(X_16))]]) ).
cnf(refute_0_573,plain,
addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) = addition(antidomain(antidomain(X_16)),antidomain(c(X_16))),
introduced(tautology,[refl,[$fot(addition(antidomain(antidomain(X_16)),antidomain(c(X_16))))]]) ).
cnf(refute_0_574,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_575,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( $equal(addition(antidomain(antidomain(X_16)),antidomain(c(X_16))),addition(antidomain(antidomain(X_16)),antidomain(c(X_16)))) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) = addition(domain(X_16),antidomain(c(X_16))),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_16)),domain(X_16)) )],[refute_0_572,refute_0_575]) ).
cnf(refute_0_577,plain,
( addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) != addition(domain(X_16),antidomain(c(X_16)))
| addition(domain(X_16),antidomain(c(X_16))) != domain(X_16)
| addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) = domain(X_16) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(addition(antidomain(antidomain(X_16)),antidomain(c(X_16))))),bind(Y,$fot(addition(domain(X_16),antidomain(c(X_16))))),bind(Z,$fot(domain(X_16)))]]) ).
cnf(refute_0_578,plain,
( addition(domain(X_16),antidomain(c(X_16))) != domain(X_16)
| addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) = domain(X_16) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(c(X_16))),addition(domain(X_16),antidomain(c(X_16)))) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) = domain(X_16),
inference(resolve,[$cnf( $equal(addition(domain(X_16),antidomain(c(X_16))),domain(X_16)) )],[refute_0_571,refute_0_578]) ).
cnf(refute_0_580,plain,
( addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) != c(antidomain(X_16))
| addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) != domain(X_16)
| domain(X_16) = c(antidomain(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(c(X_16))),c(antidomain(X_16))) ),[0],$fot(domain(X_16))]]) ).
cnf(refute_0_581,plain,
( addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) != c(antidomain(X_16))
| domain(X_16) = c(antidomain(X_16)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(c(X_16))),domain(X_16)) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
( c(antidomain(X_16)) != antidomain(c(X_16))
| domain(X_16) != c(antidomain(X_16))
| domain(X_16) = antidomain(c(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(X_16),c(antidomain(X_16))) ),[1],$fot(antidomain(c(X_16)))]]) ).
cnf(refute_0_583,plain,
( domain(X_16) != c(antidomain(X_16))
| domain(X_16) = antidomain(c(X_16)) ),
inference(resolve,[$cnf( $equal(c(antidomain(X_16)),antidomain(c(X_16))) )],[refute_0_368,refute_0_582]) ).
cnf(refute_0_584,plain,
( addition(antidomain(antidomain(X_16)),antidomain(c(X_16))) != c(antidomain(X_16))
| domain(X_16) = antidomain(c(X_16)) ),
inference(resolve,[$cnf( $equal(domain(X_16),c(antidomain(X_16))) )],[refute_0_581,refute_0_583]) ).
cnf(refute_0_585,plain,
domain(X_16) = antidomain(c(X_16)),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X_16)),antidomain(c(X_16))),c(antidomain(X_16))) )],[refute_0_552,refute_0_584]) ).
cnf(refute_0_586,plain,
( domain(X_16) != antidomain(c(X_16))
| antidomain(c(X_16)) = domain(X_16) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(domain(X_16))),bind(Y,$fot(antidomain(c(X_16))))]]) ).
cnf(refute_0_587,plain,
antidomain(c(X_16)) = domain(X_16),
inference(resolve,[$cnf( $equal(domain(X_16),antidomain(c(X_16))) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
antidomain(c(X_443)) = domain(X_443),
inference(subst,[],[refute_0_587:[bind(X_16,$fot(X_443))]]) ).
cnf(refute_0_589,plain,
( antidomain(c(X_443)) != domain(X_443)
| c(c(X_443)) != antidomain(c(X_443))
| c(c(X_443)) = domain(X_443) ),
introduced(tautology,[equality,[$cnf( $equal(c(c(X_443)),antidomain(c(X_443))) ),[1],$fot(domain(X_443))]]) ).
cnf(refute_0_590,plain,
( c(c(X_443)) != antidomain(c(X_443))
| c(c(X_443)) = domain(X_443) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_443)),domain(X_443)) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
c(c(X_443)) = domain(X_443),
inference(resolve,[$cnf( $equal(c(c(X_443)),antidomain(c(X_443))) )],[refute_0_505,refute_0_590]) ).
cnf(refute_0_592,plain,
c(c(multiplication(X_72,domain(X_73)))) = domain(multiplication(X_72,domain(X_73))),
inference(subst,[],[refute_0_591:[bind(X_443,$fot(multiplication(X_72,domain(X_73))))]]) ).
cnf(refute_0_593,plain,
c(multiplication(X_72,domain(X_73))) = antidomain(domain(multiplication(X_72,domain(X_73)))),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiplication(X_72,domain(X_73))))]]) ).
cnf(refute_0_594,plain,
forward_diamond(X_72,X_73) = domain(multiplication(X_72,domain(X_73))),
inference(subst,[],[refute_0_156:[bind(X0,$fot(X_72)),bind(X1,$fot(X_73))]]) ).
cnf(refute_0_595,plain,
( forward_diamond(X_72,X_73) != domain(multiplication(X_72,domain(X_73)))
| domain(multiplication(X_72,domain(X_73))) = forward_diamond(X_72,X_73) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(forward_diamond(X_72,X_73))),bind(Y,$fot(domain(multiplication(X_72,domain(X_73)))))]]) ).
cnf(refute_0_596,plain,
domain(multiplication(X_72,domain(X_73))) = forward_diamond(X_72,X_73),
inference(resolve,[$cnf( $equal(forward_diamond(X_72,X_73),domain(multiplication(X_72,domain(X_73)))) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
( c(multiplication(X_72,domain(X_73))) != antidomain(domain(multiplication(X_72,domain(X_73))))
| domain(multiplication(X_72,domain(X_73))) != forward_diamond(X_72,X_73)
| c(multiplication(X_72,domain(X_73))) = antidomain(forward_diamond(X_72,X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(c(multiplication(X_72,domain(X_73))),antidomain(domain(multiplication(X_72,domain(X_73))))) ),[1,0],$fot(forward_diamond(X_72,X_73))]]) ).
cnf(refute_0_598,plain,
( c(multiplication(X_72,domain(X_73))) != antidomain(domain(multiplication(X_72,domain(X_73))))
| c(multiplication(X_72,domain(X_73))) = antidomain(forward_diamond(X_72,X_73)) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_72,domain(X_73))),forward_diamond(X_72,X_73)) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
c(multiplication(X_72,domain(X_73))) = antidomain(forward_diamond(X_72,X_73)),
inference(resolve,[$cnf( $equal(c(multiplication(X_72,domain(X_73))),antidomain(domain(multiplication(X_72,domain(X_73))))) )],[refute_0_593,refute_0_598]) ).
cnf(refute_0_600,plain,
( c(c(multiplication(X_72,domain(X_73)))) != domain(multiplication(X_72,domain(X_73)))
| c(multiplication(X_72,domain(X_73))) != antidomain(forward_diamond(X_72,X_73))
| c(antidomain(forward_diamond(X_72,X_73))) = domain(multiplication(X_72,domain(X_73))) ),
introduced(tautology,[equality,[$cnf( $equal(c(c(multiplication(X_72,domain(X_73)))),domain(multiplication(X_72,domain(X_73)))) ),[0,0],$fot(antidomain(forward_diamond(X_72,X_73)))]]) ).
cnf(refute_0_601,plain,
( c(c(multiplication(X_72,domain(X_73)))) != domain(multiplication(X_72,domain(X_73)))
| c(antidomain(forward_diamond(X_72,X_73))) = domain(multiplication(X_72,domain(X_73))) ),
inference(resolve,[$cnf( $equal(c(multiplication(X_72,domain(X_73))),antidomain(forward_diamond(X_72,X_73))) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
c(antidomain(forward_diamond(X_72,X_73))) = domain(multiplication(X_72,domain(X_73))),
inference(resolve,[$cnf( $equal(c(c(multiplication(X_72,domain(X_73)))),domain(multiplication(X_72,domain(X_73)))) )],[refute_0_592,refute_0_601]) ).
cnf(refute_0_603,plain,
( antidomain(c(X_16)) != domain(X_16)
| c(antidomain(X_16)) != antidomain(c(X_16))
| c(antidomain(X_16)) = domain(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(c(antidomain(X_16)),antidomain(c(X_16))) ),[1],$fot(domain(X_16))]]) ).
cnf(refute_0_604,plain,
( c(antidomain(X_16)) != antidomain(c(X_16))
| c(antidomain(X_16)) = domain(X_16) ),
inference(resolve,[$cnf( $equal(antidomain(c(X_16)),domain(X_16)) )],[refute_0_587,refute_0_603]) ).
cnf(refute_0_605,plain,
c(antidomain(X_16)) = domain(X_16),
inference(resolve,[$cnf( $equal(c(antidomain(X_16)),antidomain(c(X_16))) )],[refute_0_368,refute_0_604]) ).
cnf(refute_0_606,plain,
c(antidomain(forward_diamond(X_72,X_73))) = domain(forward_diamond(X_72,X_73)),
inference(subst,[],[refute_0_605:[bind(X_16,$fot(forward_diamond(X_72,X_73)))]]) ).
cnf(refute_0_607,plain,
( c(antidomain(forward_diamond(X_72,X_73))) != domain(forward_diamond(X_72,X_73))
| c(antidomain(forward_diamond(X_72,X_73))) != domain(multiplication(X_72,domain(X_73)))
| domain(forward_diamond(X_72,X_73)) = domain(multiplication(X_72,domain(X_73))) ),
introduced(tautology,[equality,[$cnf( $equal(c(antidomain(forward_diamond(X_72,X_73))),domain(multiplication(X_72,domain(X_73)))) ),[0],$fot(domain(forward_diamond(X_72,X_73)))]]) ).
cnf(refute_0_608,plain,
( c(antidomain(forward_diamond(X_72,X_73))) != domain(multiplication(X_72,domain(X_73)))
| domain(forward_diamond(X_72,X_73)) = domain(multiplication(X_72,domain(X_73))) ),
inference(resolve,[$cnf( $equal(c(antidomain(forward_diamond(X_72,X_73))),domain(forward_diamond(X_72,X_73))) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
( domain(forward_diamond(X_72,X_73)) != domain(multiplication(X_72,domain(X_73)))
| domain(multiplication(X_72,domain(X_73))) != forward_diamond(X_72,X_73)
| domain(forward_diamond(X_72,X_73)) = forward_diamond(X_72,X_73) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(forward_diamond(X_72,X_73)),forward_diamond(X_72,X_73)) ),[0],$fot(domain(multiplication(X_72,domain(X_73))))]]) ).
cnf(refute_0_610,plain,
( domain(forward_diamond(X_72,X_73)) != domain(multiplication(X_72,domain(X_73)))
| domain(forward_diamond(X_72,X_73)) = forward_diamond(X_72,X_73) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_72,domain(X_73))),forward_diamond(X_72,X_73)) )],[refute_0_596,refute_0_609]) ).
cnf(refute_0_611,plain,
( c(antidomain(forward_diamond(X_72,X_73))) != domain(multiplication(X_72,domain(X_73)))
| domain(forward_diamond(X_72,X_73)) = forward_diamond(X_72,X_73) ),
inference(resolve,[$cnf( $equal(domain(forward_diamond(X_72,X_73)),domain(multiplication(X_72,domain(X_73)))) )],[refute_0_608,refute_0_610]) ).
cnf(refute_0_612,plain,
domain(forward_diamond(X_72,X_73)) = forward_diamond(X_72,X_73),
inference(resolve,[$cnf( $equal(c(antidomain(forward_diamond(X_72,X_73))),domain(multiplication(X_72,domain(X_73)))) )],[refute_0_602,refute_0_611]) ).
cnf(refute_0_613,plain,
domain(forward_diamond(X_820,X_821)) = forward_diamond(X_820,X_821),
inference(subst,[],[refute_0_612:[bind(X_72,$fot(X_820)),bind(X_73,$fot(X_821))]]) ).
cnf(refute_0_614,plain,
( domain(forward_diamond(X_820,X_821)) != forward_diamond(X_820,X_821)
| domain_difference(X_31,antidomain(forward_diamond(X_820,X_821))) != multiplication(domain(X_31),domain(forward_diamond(X_820,X_821)))
| domain_difference(X_31,antidomain(forward_diamond(X_820,X_821))) = multiplication(domain(X_31),forward_diamond(X_820,X_821)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(X_31,antidomain(forward_diamond(X_820,X_821))),multiplication(domain(X_31),domain(forward_diamond(X_820,X_821)))) ),[1,1],$fot(forward_diamond(X_820,X_821))]]) ).
cnf(refute_0_615,plain,
( domain_difference(X_31,antidomain(forward_diamond(X_820,X_821))) != multiplication(domain(X_31),domain(forward_diamond(X_820,X_821)))
| domain_difference(X_31,antidomain(forward_diamond(X_820,X_821))) = multiplication(domain(X_31),forward_diamond(X_820,X_821)) ),
inference(resolve,[$cnf( $equal(domain(forward_diamond(X_820,X_821)),forward_diamond(X_820,X_821)) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
domain_difference(X_31,antidomain(forward_diamond(X_820,X_821))) = multiplication(domain(X_31),forward_diamond(X_820,X_821)),
inference(resolve,[$cnf( $equal(domain_difference(X_31,antidomain(forward_diamond(X_820,X_821))),multiplication(domain(X_31),domain(forward_diamond(X_820,X_821)))) )],[refute_0_254,refute_0_615]) ).
cnf(refute_0_617,plain,
( domain_difference(X_31,antidomain(forward_diamond(X_820,X_821))) != multiplication(domain(X_31),forward_diamond(X_820,X_821))
| multiplication(domain(X_31),forward_diamond(X_820,X_821)) = domain_difference(X_31,antidomain(forward_diamond(X_820,X_821))) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(domain_difference(X_31,antidomain(forward_diamond(X_820,X_821))))),bind(Y,$fot(multiplication(domain(X_31),forward_diamond(X_820,X_821))))]]) ).
cnf(refute_0_618,plain,
multiplication(domain(X_31),forward_diamond(X_820,X_821)) = domain_difference(X_31,antidomain(forward_diamond(X_820,X_821))),
inference(resolve,[$cnf( $equal(domain_difference(X_31,antidomain(forward_diamond(X_820,X_821))),multiplication(domain(X_31),forward_diamond(X_820,X_821))) )],[refute_0_616,refute_0_617]) ).
cnf(refute_0_619,plain,
multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_618:[bind(X_31,$fot(skolemFOFtoCNF_X2)),bind(X_820,$fot(skolemFOFtoCNF_X0)),bind(X_821,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_620,plain,
( forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) != multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) ),[0],$fot(multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_621,plain,
( forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) != multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
( multiplication(one,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_249,refute_0_621]) ).
cnf(refute_0_623,plain,
forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) = domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(multiplication(one,forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),multiplication(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_246,refute_0_622]) ).
cnf(refute_0_624,plain,
( forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) != domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),bind(Y,$fot(domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_625,plain,
domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
( domain(skolemFOFtoCNF_X2) != addition(domain(skolemFOFtoCNF_X2),domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
| domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| domain(skolemFOFtoCNF_X2) = addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(skolemFOFtoCNF_X2),addition(domain(skolemFOFtoCNF_X2),domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) ),[1,1],$fot(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_627,plain,
( domain(skolemFOFtoCNF_X2) != addition(domain(skolemFOFtoCNF_X2),domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))
| domain(skolemFOFtoCNF_X2) = addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
domain(skolemFOFtoCNF_X2) = addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X2),addition(domain(skolemFOFtoCNF_X2),domain_difference(skolemFOFtoCNF_X2,antidomain(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) )],[refute_0_125,refute_0_627]) ).
cnf(refute_0_629,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) != domain(skolemFOFtoCNF_X2),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_630,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) = addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_23:[bind(A,$fot(domain(skolemFOFtoCNF_X2))),bind(B,$fot(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_631,plain,
( addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) != domain(skolemFOFtoCNF_X2)
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) != addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) = domain(skolemFOFtoCNF_X2) ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)),addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) ),[1],$fot(domain(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_632,plain,
( addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) != domain(skolemFOFtoCNF_X2)
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) = domain(skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)),addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) != domain(skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)),domain(skolemFOFtoCNF_X2)) )],[refute_0_632,refute_0_629]) ).
cnf(refute_0_634,plain,
forward_diamond(X_72,domain(X0)) = domain(multiplication(X_72,domain(domain(X0)))),
inference(subst,[],[refute_0_156:[bind(X0,$fot(X_72)),bind(X1,$fot(domain(X0)))]]) ).
cnf(refute_0_635,plain,
( domain(domain(X0)) != antidomain(c(X0))
| forward_diamond(X_72,domain(X0)) != domain(multiplication(X_72,domain(domain(X0))))
| forward_diamond(X_72,domain(X0)) = domain(multiplication(X_72,antidomain(c(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_72,domain(X0)),domain(multiplication(X_72,domain(domain(X0))))) ),[1,0,1],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_636,plain,
( forward_diamond(X_72,domain(X0)) != domain(multiplication(X_72,domain(domain(X0))))
| forward_diamond(X_72,domain(X0)) = domain(multiplication(X_72,antidomain(c(X0)))) ),
inference(resolve,[$cnf( $equal(domain(domain(X0)),antidomain(c(X0))) )],[refute_0_346,refute_0_635]) ).
cnf(refute_0_637,plain,
forward_diamond(X_72,domain(X0)) = domain(multiplication(X_72,antidomain(c(X0)))),
inference(resolve,[$cnf( $equal(forward_diamond(X_72,domain(X0)),domain(multiplication(X_72,domain(domain(X0))))) )],[refute_0_634,refute_0_636]) ).
cnf(refute_0_638,plain,
domain(multiplication(X_72,domain(X0))) = forward_diamond(X_72,X0),
inference(subst,[],[refute_0_158:[bind(X0,$fot(X_72)),bind(X1,$fot(X0))]]) ).
cnf(refute_0_639,plain,
antidomain(c(X0)) = domain(X0),
inference(subst,[],[refute_0_587:[bind(X_16,$fot(X0))]]) ).
cnf(refute_0_640,plain,
multiplication(X_72,antidomain(c(X0))) = multiplication(X_72,antidomain(c(X0))),
introduced(tautology,[refl,[$fot(multiplication(X_72,antidomain(c(X0))))]]) ).
cnf(refute_0_641,plain,
( antidomain(c(X0)) != domain(X0)
| multiplication(X_72,antidomain(c(X0))) != multiplication(X_72,antidomain(c(X0)))
| multiplication(X_72,antidomain(c(X0))) = multiplication(X_72,domain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_72,antidomain(c(X0))),multiplication(X_72,antidomain(c(X0)))) ),[1,1],$fot(domain(X0))]]) ).
cnf(refute_0_642,plain,
( antidomain(c(X0)) != domain(X0)
| multiplication(X_72,antidomain(c(X0))) = multiplication(X_72,domain(X0)) ),
inference(resolve,[$cnf( $equal(multiplication(X_72,antidomain(c(X0))),multiplication(X_72,antidomain(c(X0)))) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
multiplication(X_72,antidomain(c(X0))) = multiplication(X_72,domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(c(X0)),domain(X0)) )],[refute_0_639,refute_0_642]) ).
cnf(refute_0_644,plain,
domain(multiplication(X_72,antidomain(c(X0)))) = domain(multiplication(X_72,antidomain(c(X0)))),
introduced(tautology,[refl,[$fot(domain(multiplication(X_72,antidomain(c(X0)))))]]) ).
cnf(refute_0_645,plain,
( domain(multiplication(X_72,antidomain(c(X0)))) != domain(multiplication(X_72,antidomain(c(X0))))
| multiplication(X_72,antidomain(c(X0))) != multiplication(X_72,domain(X0))
| domain(multiplication(X_72,antidomain(c(X0)))) = domain(multiplication(X_72,domain(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_72,antidomain(c(X0)))),domain(multiplication(X_72,antidomain(c(X0))))) ),[1,0],$fot(multiplication(X_72,domain(X0)))]]) ).
cnf(refute_0_646,plain,
( multiplication(X_72,antidomain(c(X0))) != multiplication(X_72,domain(X0))
| domain(multiplication(X_72,antidomain(c(X0)))) = domain(multiplication(X_72,domain(X0))) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_72,antidomain(c(X0)))),domain(multiplication(X_72,antidomain(c(X0))))) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
domain(multiplication(X_72,antidomain(c(X0)))) = domain(multiplication(X_72,domain(X0))),
inference(resolve,[$cnf( $equal(multiplication(X_72,antidomain(c(X0))),multiplication(X_72,domain(X0))) )],[refute_0_643,refute_0_646]) ).
cnf(refute_0_648,plain,
( domain(multiplication(X_72,antidomain(c(X0)))) != domain(multiplication(X_72,domain(X0)))
| domain(multiplication(X_72,domain(X0))) != forward_diamond(X_72,X0)
| domain(multiplication(X_72,antidomain(c(X0)))) = forward_diamond(X_72,X0) ),
inference(subst,[],[refute_0_62:[bind(X,$fot(domain(multiplication(X_72,antidomain(c(X0)))))),bind(Y,$fot(domain(multiplication(X_72,domain(X0))))),bind(Z,$fot(forward_diamond(X_72,X0)))]]) ).
cnf(refute_0_649,plain,
( domain(multiplication(X_72,domain(X0))) != forward_diamond(X_72,X0)
| domain(multiplication(X_72,antidomain(c(X0)))) = forward_diamond(X_72,X0) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_72,antidomain(c(X0)))),domain(multiplication(X_72,domain(X0)))) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
domain(multiplication(X_72,antidomain(c(X0)))) = forward_diamond(X_72,X0),
inference(resolve,[$cnf( $equal(domain(multiplication(X_72,domain(X0))),forward_diamond(X_72,X0)) )],[refute_0_638,refute_0_649]) ).
cnf(refute_0_651,plain,
( domain(multiplication(X_72,antidomain(c(X0)))) != forward_diamond(X_72,X0)
| forward_diamond(X_72,domain(X0)) != domain(multiplication(X_72,antidomain(c(X0))))
| forward_diamond(X_72,domain(X0)) = forward_diamond(X_72,X0) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_72,domain(X0)),domain(multiplication(X_72,antidomain(c(X0))))) ),[1],$fot(forward_diamond(X_72,X0))]]) ).
cnf(refute_0_652,plain,
( forward_diamond(X_72,domain(X0)) != domain(multiplication(X_72,antidomain(c(X0))))
| forward_diamond(X_72,domain(X0)) = forward_diamond(X_72,X0) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_72,antidomain(c(X0)))),forward_diamond(X_72,X0)) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
forward_diamond(X_72,domain(X0)) = forward_diamond(X_72,X0),
inference(resolve,[$cnf( $equal(forward_diamond(X_72,domain(X0)),domain(multiplication(X_72,antidomain(c(X0))))) )],[refute_0_637,refute_0_652]) ).
cnf(refute_0_654,plain,
forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)) = forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_653:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X_72,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_655,plain,
addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),
introduced(tautology,[refl,[$fot(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_656,plain,
( addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) != addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))
| forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)) != forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) ),[1,1],$fot(forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_657,plain,
( forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)) != forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)))) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1)),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_654,refute_0_657]) ).
cnf(refute_0_659,plain,
( addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) != addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain(skolemFOFtoCNF_X2)
| addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = domain(skolemFOFtoCNF_X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),domain(skolemFOFtoCNF_X2)) ),[0],$fot(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_660,plain,
( addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain(skolemFOFtoCNF_X2)
| addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))) = domain(skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != domain(skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X1))),domain(skolemFOFtoCNF_X2)) )],[refute_0_660,refute_0_633]) ).
cnf(refute_0_662,plain,
( domain(skolemFOFtoCNF_X2) != addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = domain(skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(domain(skolemFOFtoCNF_X2))),bind(Y,$fot(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_663,plain,
domain(skolemFOFtoCNF_X2) != addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),domain(skolemFOFtoCNF_X2)) )],[refute_0_662,refute_0_661]) ).
cnf(refute_0_664,plain,
$false,
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X2),addition(domain(skolemFOFtoCNF_X2),forward_diamond(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_628,refute_0_663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE100+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 : n015.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 08:08:26 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 77.46/77.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 77.46/77.65
% 77.46/77.65 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 77.53/77.70
%------------------------------------------------------------------------------