TSTP Solution File: KLE133+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE133+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 02:15:28 EDT 2022
% Result : Theorem 0.16s 0.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 90
% Syntax : Number of formulae : 341 ( 185 unt; 0 def)
% Number of atoms : 572 ( 571 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 459 ( 228 ~; 221 |; 7 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 200 ( 11 sgn 65 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(additive_identity,axiom,
! [A] : addition(A,zero) = A ).
fof(multiplicative_right_identity,axiom,
! [A] : multiplication(A,one) = A ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A ).
fof(right_annihilation,axiom,
! [A] : multiplication(A,zero) = zero ).
fof(left_annihilation,axiom,
! [A] : multiplication(zero,A) = zero ).
fof(domain1,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero ).
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] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
& ! [X2] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2)) )
=> ! [X3] : addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) = forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) ) ).
fof(subgoal_0,plain,
! [X0] :
( ( ! [X1] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
& ! [X2] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2)) )
=> ! [X3] : addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) = forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] :
( ( ! [X1] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
& ! [X2] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2)) )
=> ! [X3] : addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) = forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0] :
( ? [X3] : addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) != forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))
& ! [X1] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
& ! [X2] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ? [X3] : addition(forward_diamond(skolemFOFtoCNF_X0,domain(X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X3),forward_diamond(skolemFOFtoCNF_X0,domain(X3))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X3),forward_diamond(skolemFOFtoCNF_X0,domain(X3))))
& ! [X1] : addition(domain(X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1))))
& ! [X2] : forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,domain(X2))) = forward_diamond(skolemFOFtoCNF_X0,domain(X2)) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [X3] : addition(forward_diamond(skolemFOFtoCNF_X0,domain(X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X3),forward_diamond(skolemFOFtoCNF_X0,domain(X3))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X3),forward_diamond(skolemFOFtoCNF_X0,domain(X3)))),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_5,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_7,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_9,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_11,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
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,
! [X1] : addition(domain(X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1)))),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_15,plain,
! [X1] : addition(domain(X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1)))),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X2] : forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,domain(X2))) = forward_diamond(skolemFOFtoCNF_X0,domain(X2)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_17,plain,
! [X2] : forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,domain(X2))) = forward_diamond(skolemFOFtoCNF_X0,domain(X2)),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_19,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[forward_diamond]) ).
fof(normalize_0_21,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(canonicalize,[],[complement]) ).
fof(normalize_0_23,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [A] : multiplication(A,zero) = zero,
inference(canonicalize,[],[right_annihilation]) ).
fof(normalize_0_25,plain,
! [A] : multiplication(A,zero) = zero,
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(canonicalize,[],[domain_difference]) ).
fof(normalize_0_27,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_29,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A] : multiplication(zero,A) = zero,
inference(canonicalize,[],[left_annihilation]) ).
fof(normalize_0_31,plain,
! [A] : multiplication(zero,A) = zero,
inference(specialize,[],[normalize_0_30]) ).
cnf(refute_0_0,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
addition(A,zero) = addition(zero,A),
inference(subst,[],[refute_0_2:[bind(B,$fot(zero))]]) ).
cnf(refute_0_4,plain,
( addition(A,zero) != A
| addition(A,zero) != addition(zero,A)
| addition(zero,A) = A ),
introduced(tautology,[equality,[$cnf( $equal(addition(A,zero),A) ),[0],$fot(addition(zero,A))]]) ).
cnf(refute_0_5,plain,
( addition(A,zero) != A
| addition(zero,A) = A ),
inference(resolve,[$cnf( $equal(addition(A,zero),addition(zero,A)) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
addition(zero,A) = A,
inference(resolve,[$cnf( $equal(addition(A,zero),A) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_8,plain,
multiplication(antidomain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) = zero,
inference(subst,[],[refute_0_7:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_10,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_11,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_12,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_14,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_2,refute_0_13]) ).
cnf(refute_0_15,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(subst,[],[refute_0_14:[bind(A,$fot(antidomain(X0))),bind(B,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_16,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != addition(antidomain(X0),antidomain(antidomain(X0)))
| addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) ),[0],$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_17,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) )],[refute_0_9,refute_0_17]) ).
cnf(refute_0_19,plain,
domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_20,plain,
( domain(X0) != antidomain(antidomain(X0))
| antidomain(antidomain(X0)) = domain(X0) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(domain(X0))),bind(Y,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_21,plain,
antidomain(antidomain(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(domain(X0),antidomain(antidomain(X0))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(antidomain(X0))),
introduced(tautology,[refl,[$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_23,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_24,plain,
( antidomain(antidomain(X0)) != domain(X0)
| addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) ),[0],$fot(addition(antidomain(X0),domain(X0)))]]) ).
cnf(refute_0_27,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),domain(X0))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
addition(antidomain(X0),domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) )],[refute_0_18,refute_0_27]) ).
cnf(refute_0_29,plain,
addition(antidomain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) = one,
inference(subst,[],[refute_0_28:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_30,plain,
addition(domain(X1),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(X1),forward_diamond(skolemFOFtoCNF_X0,domain(X1)))),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_31,plain,
addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_30:[bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_32,plain,
forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,domain(X2))) = forward_diamond(skolemFOFtoCNF_X0,domain(X2)),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_33,plain,
forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,domain(one))) = forward_diamond(skolemFOFtoCNF_X0,domain(one)),
inference(subst,[],[refute_0_32:[bind(X2,$fot(one))]]) ).
cnf(refute_0_34,plain,
domain(one) = antidomain(antidomain(one)),
inference(subst,[],[refute_0_19:[bind(X0,$fot(one))]]) ).
cnf(refute_0_35,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_36,plain,
multiplication(antidomain(one),one) = antidomain(one),
inference(subst,[],[refute_0_35:[bind(A,$fot(antidomain(one)))]]) ).
cnf(refute_0_37,plain,
multiplication(antidomain(one),one) = zero,
inference(subst,[],[refute_0_7:[bind(X0,$fot(one))]]) ).
cnf(refute_0_38,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| multiplication(antidomain(one),one) != zero
| zero = antidomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) ),[0],$fot(zero)]]) ).
cnf(refute_0_39,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| zero = antidomain(one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),zero) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
zero = antidomain(one),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
( zero != antidomain(one)
| antidomain(one) = zero ),
inference(subst,[],[refute_0_12:[bind(X,$fot(zero)),bind(Y,$fot(antidomain(one)))]]) ).
cnf(refute_0_42,plain,
antidomain(one) = zero,
inference(resolve,[$cnf( $equal(zero,antidomain(one)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( antidomain(one) != zero
| domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(domain(one),antidomain(antidomain(one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_44,plain,
( domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
domain(one) = antidomain(zero),
inference(resolve,[$cnf( $equal(domain(one),antidomain(antidomain(one))) )],[refute_0_34,refute_0_44]) ).
cnf(refute_0_46,plain,
addition(zero,antidomain(zero)) = addition(antidomain(zero),zero),
inference(subst,[],[refute_0_2:[bind(A,$fot(zero)),bind(B,$fot(antidomain(zero)))]]) ).
cnf(refute_0_47,plain,
addition(antidomain(one),domain(one)) = one,
inference(subst,[],[refute_0_28:[bind(X0,$fot(one))]]) ).
cnf(refute_0_48,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_49,plain,
( addition(antidomain(one),domain(one)) != one
| addition(zero,domain(one)) = one ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_42,refute_0_48]) ).
cnf(refute_0_50,plain,
addition(zero,domain(one)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(one)),one) )],[refute_0_47,refute_0_49]) ).
cnf(refute_0_51,plain,
addition(zero,domain(one)) = addition(zero,domain(one)),
introduced(tautology,[refl,[$fot(addition(zero,domain(one)))]]) ).
cnf(refute_0_52,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_53,plain,
( domain(one) != antidomain(zero)
| addition(zero,domain(one)) = addition(zero,antidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(zero,domain(one)),addition(zero,domain(one))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
addition(zero,domain(one)) = addition(zero,antidomain(zero)),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_45,refute_0_53]) ).
cnf(refute_0_55,plain,
( addition(zero,domain(one)) != addition(zero,antidomain(zero))
| addition(zero,domain(one)) != one
| addition(zero,antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,domain(one)),one) ),[0],$fot(addition(zero,antidomain(zero)))]]) ).
cnf(refute_0_56,plain,
( addition(zero,domain(one)) != one
| addition(zero,antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(addition(zero,domain(one)),addition(zero,antidomain(zero))) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
addition(zero,antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(zero,domain(one)),one) )],[refute_0_50,refute_0_56]) ).
cnf(refute_0_58,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| addition(zero,antidomain(zero)) != one
| one = addition(antidomain(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) ),[0],$fot(one)]]) ).
cnf(refute_0_59,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| one = addition(antidomain(zero),zero) ),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),one) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
one = addition(antidomain(zero),zero),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) )],[refute_0_46,refute_0_59]) ).
cnf(refute_0_61,plain,
addition(antidomain(zero),zero) = antidomain(zero),
inference(subst,[],[refute_0_1:[bind(A,$fot(antidomain(zero)))]]) ).
cnf(refute_0_62,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_63,plain,
( one != addition(antidomain(zero),zero)
| one = antidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),zero),antidomain(zero)) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
one = antidomain(zero),
inference(resolve,[$cnf( $equal(one,addition(antidomain(zero),zero)) )],[refute_0_60,refute_0_63]) ).
cnf(refute_0_65,plain,
( one != antidomain(zero)
| antidomain(zero) = one ),
inference(subst,[],[refute_0_12:[bind(X,$fot(one)),bind(Y,$fot(antidomain(zero)))]]) ).
cnf(refute_0_66,plain,
antidomain(zero) = one,
inference(resolve,[$cnf( $equal(one,antidomain(zero)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( antidomain(zero) != one
| domain(one) != antidomain(zero)
| domain(one) = one ),
introduced(tautology,[equality,[$cnf( $equal(domain(one),antidomain(zero)) ),[1],$fot(one)]]) ).
cnf(refute_0_68,plain,
( domain(one) != antidomain(zero)
| domain(one) = one ),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
domain(one) = one,
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_45,refute_0_68]) ).
cnf(refute_0_70,plain,
( domain(one) != one
| forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,domain(one))) != forward_diamond(skolemFOFtoCNF_X0,domain(one))
| forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)) = forward_diamond(skolemFOFtoCNF_X0,domain(one)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,domain(one))),forward_diamond(skolemFOFtoCNF_X0,domain(one))) ),[0,1,1],$fot(one)]]) ).
cnf(refute_0_71,plain,
( forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,domain(one))) != forward_diamond(skolemFOFtoCNF_X0,domain(one))
| forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)) = forward_diamond(skolemFOFtoCNF_X0,domain(one)) ),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)) = forward_diamond(skolemFOFtoCNF_X0,domain(one)),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,domain(one))),forward_diamond(skolemFOFtoCNF_X0,domain(one))) )],[refute_0_33,refute_0_71]) ).
cnf(refute_0_73,plain,
forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_74,plain,
forward_diamond(X_24,one) = domain(multiplication(X_24,domain(one))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(X_24)),bind(X1,$fot(one))]]) ).
cnf(refute_0_75,plain,
( domain(one) != one
| forward_diamond(X_24,one) != domain(multiplication(X_24,domain(one)))
| forward_diamond(X_24,one) = domain(multiplication(X_24,one)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_24,one),domain(multiplication(X_24,domain(one)))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_76,plain,
( forward_diamond(X_24,one) != domain(multiplication(X_24,domain(one)))
| forward_diamond(X_24,one) = domain(multiplication(X_24,one)) ),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_69,refute_0_75]) ).
cnf(refute_0_77,plain,
forward_diamond(X_24,one) = domain(multiplication(X_24,one)),
inference(resolve,[$cnf( $equal(forward_diamond(X_24,one),domain(multiplication(X_24,domain(one)))) )],[refute_0_74,refute_0_76]) ).
cnf(refute_0_78,plain,
multiplication(X_24,one) = X_24,
inference(subst,[],[refute_0_35:[bind(A,$fot(X_24))]]) ).
cnf(refute_0_79,plain,
domain(multiplication(X_24,one)) = domain(multiplication(X_24,one)),
introduced(tautology,[refl,[$fot(domain(multiplication(X_24,one)))]]) ).
cnf(refute_0_80,plain,
( domain(multiplication(X_24,one)) != domain(multiplication(X_24,one))
| multiplication(X_24,one) != X_24
| domain(multiplication(X_24,one)) = domain(X_24) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_24,one)),domain(multiplication(X_24,one))) ),[1,0],$fot(X_24)]]) ).
cnf(refute_0_81,plain,
( multiplication(X_24,one) != X_24
| domain(multiplication(X_24,one)) = domain(X_24) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_24,one)),domain(multiplication(X_24,one))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
domain(multiplication(X_24,one)) = domain(X_24),
inference(resolve,[$cnf( $equal(multiplication(X_24,one),X_24) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
( domain(multiplication(X_24,one)) != domain(X_24)
| forward_diamond(X_24,one) != domain(multiplication(X_24,one))
| forward_diamond(X_24,one) = domain(X_24) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_24,one),domain(multiplication(X_24,one))) ),[1],$fot(domain(X_24))]]) ).
cnf(refute_0_84,plain,
( forward_diamond(X_24,one) != domain(multiplication(X_24,one))
| forward_diamond(X_24,one) = domain(X_24) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_24,one)),domain(X_24)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
forward_diamond(X_24,one) = domain(X_24),
inference(resolve,[$cnf( $equal(forward_diamond(X_24,one),domain(multiplication(X_24,one))) )],[refute_0_77,refute_0_84]) ).
cnf(refute_0_86,plain,
forward_diamond(skolemFOFtoCNF_X0,one) = domain(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_85:[bind(X_24,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_87,plain,
forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)) = forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)),
introduced(tautology,[refl,[$fot(forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)))]]) ).
cnf(refute_0_88,plain,
( forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)) != forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one))
| forward_diamond(skolemFOFtoCNF_X0,one) != domain(skolemFOFtoCNF_X0)
| forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)) = forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one))) ),[1,1],$fot(domain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_89,plain,
( forward_diamond(skolemFOFtoCNF_X0,one) != domain(skolemFOFtoCNF_X0)
| forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)) = forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)),forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)) = forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,one),domain(skolemFOFtoCNF_X0)) )],[refute_0_86,refute_0_89]) ).
cnf(refute_0_91,plain,
( forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)) != forward_diamond(skolemFOFtoCNF_X0,domain(one))
| forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)) != forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))
| forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)) = forward_diamond(skolemFOFtoCNF_X0,domain(one)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)),forward_diamond(skolemFOFtoCNF_X0,domain(one))) ),[0],$fot(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_92,plain,
( forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)) != forward_diamond(skolemFOFtoCNF_X0,domain(one))
| forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)) = forward_diamond(skolemFOFtoCNF_X0,domain(one)) ),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
forward_diamond(skolemFOFtoCNF_X0,domain(one)) = forward_diamond(skolemFOFtoCNF_X0,domain(one)),
introduced(tautology,[refl,[$fot(forward_diamond(skolemFOFtoCNF_X0,domain(one)))]]) ).
cnf(refute_0_94,plain,
( domain(one) != one
| forward_diamond(skolemFOFtoCNF_X0,domain(one)) != forward_diamond(skolemFOFtoCNF_X0,domain(one))
| forward_diamond(skolemFOFtoCNF_X0,domain(one)) = forward_diamond(skolemFOFtoCNF_X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(one)),forward_diamond(skolemFOFtoCNF_X0,domain(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_95,plain,
( domain(one) != one
| forward_diamond(skolemFOFtoCNF_X0,domain(one)) = forward_diamond(skolemFOFtoCNF_X0,one) ),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(one)),forward_diamond(skolemFOFtoCNF_X0,domain(one))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
forward_diamond(skolemFOFtoCNF_X0,domain(one)) = forward_diamond(skolemFOFtoCNF_X0,one),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_69,refute_0_95]) ).
cnf(refute_0_97,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_98,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_12,refute_0_97]) ).
cnf(refute_0_99,plain,
( forward_diamond(skolemFOFtoCNF_X0,domain(one)) != forward_diamond(skolemFOFtoCNF_X0,one)
| forward_diamond(skolemFOFtoCNF_X0,one) != domain(skolemFOFtoCNF_X0)
| forward_diamond(skolemFOFtoCNF_X0,domain(one)) = domain(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_98:[bind(X,$fot(forward_diamond(skolemFOFtoCNF_X0,domain(one)))),bind(Y,$fot(forward_diamond(skolemFOFtoCNF_X0,one))),bind(Z,$fot(domain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_100,plain,
( forward_diamond(skolemFOFtoCNF_X0,one) != domain(skolemFOFtoCNF_X0)
| forward_diamond(skolemFOFtoCNF_X0,domain(one)) = domain(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(one)),forward_diamond(skolemFOFtoCNF_X0,one)) )],[refute_0_96,refute_0_99]) ).
cnf(refute_0_101,plain,
forward_diamond(skolemFOFtoCNF_X0,domain(one)) = domain(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,one),domain(skolemFOFtoCNF_X0)) )],[refute_0_86,refute_0_100]) ).
cnf(refute_0_102,plain,
( forward_diamond(skolemFOFtoCNF_X0,domain(one)) != domain(skolemFOFtoCNF_X0)
| forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)) != forward_diamond(skolemFOFtoCNF_X0,domain(one))
| forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)) = domain(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)),forward_diamond(skolemFOFtoCNF_X0,domain(one))) ),[1],$fot(domain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_103,plain,
( forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)) != forward_diamond(skolemFOFtoCNF_X0,domain(one))
| forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)) = domain(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(one)),domain(skolemFOFtoCNF_X0)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
( forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)) != forward_diamond(skolemFOFtoCNF_X0,domain(one))
| forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)) = domain(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)),forward_diamond(skolemFOFtoCNF_X0,domain(one))) )],[refute_0_92,refute_0_103]) ).
cnf(refute_0_105,plain,
forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)) = domain(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,forward_diamond(skolemFOFtoCNF_X0,one)),forward_diamond(skolemFOFtoCNF_X0,domain(one))) )],[refute_0_72,refute_0_104]) ).
cnf(refute_0_106,plain,
( addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))
| forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)) != domain(skolemFOFtoCNF_X0)
| addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))) ),[0,1,1,1],$fot(domain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_107,plain,
( addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))
| addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))) )],[refute_0_31,refute_0_107]) ).
cnf(refute_0_109,plain,
addition(domain(skolemFOFtoCNF_X0),zero) = domain(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_1:[bind(A,$fot(domain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_110,plain,
forward_diamond(X_24,zero) = domain(multiplication(X_24,domain(zero))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(X_24)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_111,plain,
c(X0) = antidomain(domain(X0)),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_112,plain,
c(one) = antidomain(domain(one)),
inference(subst,[],[refute_0_111:[bind(X0,$fot(one))]]) ).
cnf(refute_0_113,plain,
( c(one) != antidomain(domain(one))
| domain(one) != antidomain(zero)
| c(one) = antidomain(antidomain(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(c(one),antidomain(domain(one))) ),[1,0],$fot(antidomain(zero))]]) ).
cnf(refute_0_114,plain,
( c(one) != antidomain(domain(one))
| c(one) = antidomain(antidomain(zero)) ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_45,refute_0_113]) ).
cnf(refute_0_115,plain,
c(one) = antidomain(antidomain(zero)),
inference(resolve,[$cnf( $equal(c(one),antidomain(domain(one))) )],[refute_0_112,refute_0_114]) ).
cnf(refute_0_116,plain,
antidomain(antidomain(zero)) = domain(zero),
inference(subst,[],[refute_0_21:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_117,plain,
( antidomain(antidomain(zero)) != domain(zero)
| c(one) != antidomain(antidomain(zero))
| c(one) = domain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(c(one),antidomain(antidomain(zero))) ),[1],$fot(domain(zero))]]) ).
cnf(refute_0_118,plain,
( c(one) != antidomain(antidomain(zero))
| c(one) = domain(zero) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(zero)),domain(zero)) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
c(one) = domain(zero),
inference(resolve,[$cnf( $equal(c(one),antidomain(antidomain(zero))) )],[refute_0_115,refute_0_118]) ).
cnf(refute_0_120,plain,
( c(one) != antidomain(domain(one))
| domain(one) != one
| c(one) = antidomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(c(one),antidomain(domain(one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_121,plain,
( c(one) != antidomain(domain(one))
| c(one) = antidomain(one) ),
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_69,refute_0_120]) ).
cnf(refute_0_122,plain,
c(one) = antidomain(one),
inference(resolve,[$cnf( $equal(c(one),antidomain(domain(one))) )],[refute_0_112,refute_0_121]) ).
cnf(refute_0_123,plain,
( antidomain(one) != zero
| c(one) != antidomain(one)
| c(one) = zero ),
introduced(tautology,[equality,[$cnf( $equal(c(one),antidomain(one)) ),[1],$fot(zero)]]) ).
cnf(refute_0_124,plain,
( c(one) != antidomain(one)
| c(one) = zero ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_42,refute_0_123]) ).
cnf(refute_0_125,plain,
c(one) = zero,
inference(resolve,[$cnf( $equal(c(one),antidomain(one)) )],[refute_0_122,refute_0_124]) ).
cnf(refute_0_126,plain,
( c(one) != domain(zero)
| c(one) != zero
| zero = domain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(c(one),domain(zero)) ),[0],$fot(zero)]]) ).
cnf(refute_0_127,plain,
( c(one) != domain(zero)
| zero = domain(zero) ),
inference(resolve,[$cnf( $equal(c(one),zero) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
zero = domain(zero),
inference(resolve,[$cnf( $equal(c(one),domain(zero)) )],[refute_0_119,refute_0_127]) ).
cnf(refute_0_129,plain,
( zero != domain(zero)
| domain(zero) = zero ),
inference(subst,[],[refute_0_12:[bind(X,$fot(zero)),bind(Y,$fot(domain(zero)))]]) ).
cnf(refute_0_130,plain,
domain(zero) = zero,
inference(resolve,[$cnf( $equal(zero,domain(zero)) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
( domain(zero) != zero
| forward_diamond(X_24,zero) != domain(multiplication(X_24,domain(zero)))
| forward_diamond(X_24,zero) = domain(multiplication(X_24,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_24,zero),domain(multiplication(X_24,domain(zero)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_132,plain,
( forward_diamond(X_24,zero) != domain(multiplication(X_24,domain(zero)))
| forward_diamond(X_24,zero) = domain(multiplication(X_24,zero)) ),
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
forward_diamond(X_24,zero) = domain(multiplication(X_24,zero)),
inference(resolve,[$cnf( $equal(forward_diamond(X_24,zero),domain(multiplication(X_24,domain(zero)))) )],[refute_0_110,refute_0_132]) ).
cnf(refute_0_134,plain,
multiplication(A,zero) = zero,
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_135,plain,
multiplication(X_24,zero) = zero,
inference(subst,[],[refute_0_134:[bind(A,$fot(X_24))]]) ).
cnf(refute_0_136,plain,
domain(multiplication(X_24,zero)) = domain(multiplication(X_24,zero)),
introduced(tautology,[refl,[$fot(domain(multiplication(X_24,zero)))]]) ).
cnf(refute_0_137,plain,
( domain(multiplication(X_24,zero)) != domain(multiplication(X_24,zero))
| multiplication(X_24,zero) != zero
| domain(multiplication(X_24,zero)) = domain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_24,zero)),domain(multiplication(X_24,zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_138,plain,
( multiplication(X_24,zero) != zero
| domain(multiplication(X_24,zero)) = domain(zero) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_24,zero)),domain(multiplication(X_24,zero))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
domain(multiplication(X_24,zero)) = domain(zero),
inference(resolve,[$cnf( $equal(multiplication(X_24,zero),zero) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
( domain(multiplication(X_24,zero)) != domain(zero)
| domain(zero) != zero
| domain(multiplication(X_24,zero)) = zero ),
inference(subst,[],[refute_0_98:[bind(X,$fot(domain(multiplication(X_24,zero)))),bind(Y,$fot(domain(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_141,plain,
( domain(zero) != zero
| domain(multiplication(X_24,zero)) = zero ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_24,zero)),domain(zero)) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
domain(multiplication(X_24,zero)) = zero,
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_130,refute_0_141]) ).
cnf(refute_0_143,plain,
( domain(multiplication(X_24,zero)) != zero
| forward_diamond(X_24,zero) != domain(multiplication(X_24,zero))
| forward_diamond(X_24,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_24,zero),domain(multiplication(X_24,zero))) ),[1],$fot(zero)]]) ).
cnf(refute_0_144,plain,
( forward_diamond(X_24,zero) != domain(multiplication(X_24,zero))
| forward_diamond(X_24,zero) = zero ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_24,zero)),zero) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
forward_diamond(X_24,zero) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(X_24,zero),domain(multiplication(X_24,zero))) )],[refute_0_133,refute_0_144]) ).
cnf(refute_0_146,plain,
forward_diamond(star(skolemFOFtoCNF_X0),zero) = zero,
inference(subst,[],[refute_0_145:[bind(X_24,$fot(star(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_147,plain,
multiplication(antidomain(antidomain(X_10)),antidomain(X_10)) = zero,
inference(subst,[],[refute_0_7:[bind(X0,$fot(antidomain(X_10)))]]) ).
cnf(refute_0_148,plain,
domain(X_10) = antidomain(antidomain(X_10)),
inference(subst,[],[refute_0_19:[bind(X0,$fot(X_10))]]) ).
cnf(refute_0_149,plain,
( domain(X_10) != antidomain(antidomain(X_10))
| antidomain(antidomain(X_10)) = domain(X_10) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(domain(X_10))),bind(Y,$fot(antidomain(antidomain(X_10))))]]) ).
cnf(refute_0_150,plain,
antidomain(antidomain(X_10)) = domain(X_10),
inference(resolve,[$cnf( $equal(domain(X_10),antidomain(antidomain(X_10))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
( antidomain(antidomain(X_10)) != domain(X_10)
| multiplication(antidomain(antidomain(X_10)),antidomain(X_10)) != zero
| multiplication(domain(X_10),antidomain(X_10)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(antidomain(X_10)),antidomain(X_10)),zero) ),[0,0],$fot(domain(X_10))]]) ).
cnf(refute_0_152,plain,
( multiplication(antidomain(antidomain(X_10)),antidomain(X_10)) != zero
| multiplication(domain(X_10),antidomain(X_10)) = zero ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_10)),domain(X_10)) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
multiplication(domain(X_10),antidomain(X_10)) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(antidomain(X_10)),antidomain(X_10)),zero) )],[refute_0_147,refute_0_152]) ).
cnf(refute_0_154,plain,
domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_155,plain,
( domain_difference(X0,X1) != multiplication(domain(X0),antidomain(X1))
| multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(domain_difference(X0,X1))),bind(Y,$fot(multiplication(domain(X0),antidomain(X1))))]]) ).
cnf(refute_0_156,plain,
multiplication(domain(X0),antidomain(X1)) = domain_difference(X0,X1),
inference(resolve,[$cnf( $equal(domain_difference(X0,X1),multiplication(domain(X0),antidomain(X1))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
multiplication(domain(X_10),antidomain(X_10)) = domain_difference(X_10,X_10),
inference(subst,[],[refute_0_156:[bind(X0,$fot(X_10)),bind(X1,$fot(X_10))]]) ).
cnf(refute_0_158,plain,
( multiplication(domain(X_10),antidomain(X_10)) != domain_difference(X_10,X_10)
| multiplication(domain(X_10),antidomain(X_10)) != zero
| domain_difference(X_10,X_10) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(domain(X_10),antidomain(X_10)),zero) ),[0],$fot(domain_difference(X_10,X_10))]]) ).
cnf(refute_0_159,plain,
( multiplication(domain(X_10),antidomain(X_10)) != zero
| domain_difference(X_10,X_10) = zero ),
inference(resolve,[$cnf( $equal(multiplication(domain(X_10),antidomain(X_10)),domain_difference(X_10,X_10)) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
domain_difference(X_10,X_10) = zero,
inference(resolve,[$cnf( $equal(multiplication(domain(X_10),antidomain(X_10)),zero) )],[refute_0_153,refute_0_159]) ).
cnf(refute_0_161,plain,
domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) = zero,
inference(subst,[],[refute_0_160:[bind(X_10,$fot(domain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_162,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_163,plain,
( domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) != zero
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))) = forward_diamond(star(skolemFOFtoCNF_X0),zero) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_164,plain,
( domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) != zero
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))) = forward_diamond(star(skolemFOFtoCNF_X0),zero) ),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))) = forward_diamond(star(skolemFOFtoCNF_X0),zero),
inference(resolve,[$cnf( $equal(domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)),zero) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))) != forward_diamond(star(skolemFOFtoCNF_X0),zero)
| forward_diamond(star(skolemFOFtoCNF_X0),zero) != zero
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))) = zero ),
inference(subst,[],[refute_0_98:[bind(X,$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))))),bind(Y,$fot(forward_diamond(star(skolemFOFtoCNF_X0),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_167,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),zero) != zero
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))),forward_diamond(star(skolemFOFtoCNF_X0),zero)) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),zero),zero) )],[refute_0_146,refute_0_167]) ).
cnf(refute_0_169,plain,
addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) = addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_170,plain,
( addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) != addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))) != zero
| addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) = addition(domain(skolemFOFtoCNF_X0),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))),addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_171,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))) != zero
| addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) = addition(domain(skolemFOFtoCNF_X0),zero) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))),addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) = addition(domain(skolemFOFtoCNF_X0),zero),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))),zero) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
( addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) != addition(domain(skolemFOFtoCNF_X0),zero)
| addition(domain(skolemFOFtoCNF_X0),zero) != domain(skolemFOFtoCNF_X0)
| addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) = domain(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_98:[bind(X,$fot(addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))))),bind(Y,$fot(addition(domain(skolemFOFtoCNF_X0),zero))),bind(Z,$fot(domain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_174,plain,
( addition(domain(skolemFOFtoCNF_X0),zero) != domain(skolemFOFtoCNF_X0)
| addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) = domain(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))),addition(domain(skolemFOFtoCNF_X0),zero)) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) = domain(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),zero),domain(skolemFOFtoCNF_X0)) )],[refute_0_109,refute_0_174]) ).
cnf(refute_0_176,plain,
( addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) != domain(skolemFOFtoCNF_X0)
| addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))
| domain(skolemFOFtoCNF_X0) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))) ),[0],$fot(domain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_177,plain,
( addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))
| domain(skolemFOFtoCNF_X0) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))),domain(skolemFOFtoCNF_X0)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))) = domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_179,plain,
( domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))) != domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))
| forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)) != domain(skolemFOFtoCNF_X0)
| domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))) = domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))) ),[1,1],$fot(domain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_180,plain,
( forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)) != domain(skolemFOFtoCNF_X0)
| domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))) = domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))) = domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)),domain(skolemFOFtoCNF_X0)) )],[refute_0_105,refute_0_180]) ).
cnf(refute_0_182,plain,
( domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) != zero
| domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))) != domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))
| domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))) = zero ),
inference(subst,[],[refute_0_98:[bind(X,$fot(domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))),bind(Y,$fot(domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_183,plain,
( domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) != zero
| domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)),zero) )],[refute_0_161,refute_0_183]) ).
cnf(refute_0_185,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_186,plain,
( domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))) != zero
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))) = forward_diamond(star(skolemFOFtoCNF_X0),zero) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_187,plain,
( domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))) != zero
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))) = forward_diamond(star(skolemFOFtoCNF_X0),zero) ),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))) = forward_diamond(star(skolemFOFtoCNF_X0),zero),
inference(resolve,[$cnf( $equal(domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))),zero) )],[refute_0_184,refute_0_187]) ).
cnf(refute_0_189,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))) != forward_diamond(star(skolemFOFtoCNF_X0),zero)
| forward_diamond(star(skolemFOFtoCNF_X0),zero) != zero
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))) = zero ),
inference(subst,[],[refute_0_98:[bind(X,$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))))),bind(Y,$fot(forward_diamond(star(skolemFOFtoCNF_X0),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_190,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),zero) != zero
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))) = zero ),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))),forward_diamond(star(skolemFOFtoCNF_X0),zero)) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),zero),zero) )],[refute_0_146,refute_0_190]) ).
cnf(refute_0_192,plain,
( domain(skolemFOFtoCNF_X0) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))) != zero
| domain(skolemFOFtoCNF_X0) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain(skolemFOFtoCNF_X0),zero) ),[0],$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_193,plain,
( domain(skolemFOFtoCNF_X0) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))
| domain(skolemFOFtoCNF_X0) = zero ),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0)))),zero) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
( addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))
| domain(skolemFOFtoCNF_X0) = zero ),
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))) )],[refute_0_177,refute_0_193]) ).
cnf(refute_0_195,plain,
domain(skolemFOFtoCNF_X0) = zero,
inference(resolve,[$cnf( $equal(addition(domain(skolemFOFtoCNF_X0),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X0),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X0))))) )],[refute_0_108,refute_0_194]) ).
cnf(refute_0_196,plain,
( addition(antidomain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) != one
| domain(skolemFOFtoCNF_X0) != zero
| addition(antidomain(skolemFOFtoCNF_X0),zero) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)),one) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_197,plain,
( addition(antidomain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)) != one
| addition(antidomain(skolemFOFtoCNF_X0),zero) = one ),
inference(resolve,[$cnf( $equal(domain(skolemFOFtoCNF_X0),zero) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
addition(antidomain(skolemFOFtoCNF_X0),zero) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(skolemFOFtoCNF_X0),domain(skolemFOFtoCNF_X0)),one) )],[refute_0_29,refute_0_197]) ).
cnf(refute_0_199,plain,
addition(antidomain(skolemFOFtoCNF_X0),zero) = antidomain(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_1:[bind(A,$fot(antidomain(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_200,plain,
( addition(antidomain(skolemFOFtoCNF_X0),zero) != antidomain(skolemFOFtoCNF_X0)
| addition(antidomain(skolemFOFtoCNF_X0),zero) != one
| antidomain(skolemFOFtoCNF_X0) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(skolemFOFtoCNF_X0),zero),one) ),[0],$fot(antidomain(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_201,plain,
( addition(antidomain(skolemFOFtoCNF_X0),zero) != one
| antidomain(skolemFOFtoCNF_X0) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(skolemFOFtoCNF_X0),zero),antidomain(skolemFOFtoCNF_X0)) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
antidomain(skolemFOFtoCNF_X0) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(skolemFOFtoCNF_X0),zero),one) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
( antidomain(skolemFOFtoCNF_X0) != one
| multiplication(antidomain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != zero
| multiplication(one,skolemFOFtoCNF_X0) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),zero) ),[0,0],$fot(one)]]) ).
cnf(refute_0_204,plain,
( multiplication(antidomain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) != zero
| multiplication(one,skolemFOFtoCNF_X0) = zero ),
inference(resolve,[$cnf( $equal(antidomain(skolemFOFtoCNF_X0),one) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
multiplication(one,skolemFOFtoCNF_X0) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),zero) )],[refute_0_8,refute_0_204]) ).
cnf(refute_0_206,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_207,plain,
multiplication(one,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_206:[bind(A,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_208,plain,
( multiplication(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| multiplication(one,skolemFOFtoCNF_X0) != zero
| skolemFOFtoCNF_X0 = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,skolemFOFtoCNF_X0),zero) ),[0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_209,plain,
( multiplication(one,skolemFOFtoCNF_X0) != zero
| skolemFOFtoCNF_X0 = zero ),
inference(resolve,[$cnf( $equal(multiplication(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
skolemFOFtoCNF_X0 = zero,
inference(resolve,[$cnf( $equal(multiplication(one,skolemFOFtoCNF_X0),zero) )],[refute_0_205,refute_0_209]) ).
cnf(refute_0_211,plain,
( skolemFOFtoCNF_X0 != zero
| zero = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_12:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(zero))]]) ).
cnf(refute_0_212,plain,
zero = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,zero) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
addition(zero,A) = addition(zero,A),
introduced(tautology,[refl,[$fot(addition(zero,A))]]) ).
cnf(refute_0_214,plain,
( addition(zero,A) != addition(zero,A)
| zero != skolemFOFtoCNF_X0
| addition(zero,A) = addition(skolemFOFtoCNF_X0,A) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,A),addition(zero,A)) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_215,plain,
( zero != skolemFOFtoCNF_X0
| addition(zero,A) = addition(skolemFOFtoCNF_X0,A) ),
inference(resolve,[$cnf( $equal(addition(zero,A),addition(zero,A)) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
addition(zero,A) = addition(skolemFOFtoCNF_X0,A),
inference(resolve,[$cnf( $equal(zero,skolemFOFtoCNF_X0) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
( addition(zero,A) != A
| addition(zero,A) != addition(skolemFOFtoCNF_X0,A)
| addition(skolemFOFtoCNF_X0,A) = A ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,A),A) ),[0],$fot(addition(skolemFOFtoCNF_X0,A))]]) ).
cnf(refute_0_218,plain,
( addition(zero,A) != A
| addition(skolemFOFtoCNF_X0,A) = A ),
inference(resolve,[$cnf( $equal(addition(zero,A),addition(skolemFOFtoCNF_X0,A)) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
addition(skolemFOFtoCNF_X0,A) = A,
inference(resolve,[$cnf( $equal(addition(zero,A),A) )],[refute_0_6,refute_0_218]) ).
cnf(refute_0_220,plain,
addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))) = forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))),
inference(subst,[],[refute_0_219:[bind(A,$fot(forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))))]]) ).
cnf(refute_0_221,plain,
domain(domain(X_13)) = antidomain(antidomain(domain(X_13))),
inference(subst,[],[refute_0_19:[bind(X0,$fot(domain(X_13)))]]) ).
cnf(refute_0_222,plain,
c(X_13) = antidomain(domain(X_13)),
inference(subst,[],[refute_0_111:[bind(X0,$fot(X_13))]]) ).
cnf(refute_0_223,plain,
( c(X_13) != antidomain(domain(X_13))
| antidomain(domain(X_13)) = c(X_13) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(c(X_13))),bind(Y,$fot(antidomain(domain(X_13))))]]) ).
cnf(refute_0_224,plain,
antidomain(domain(X_13)) = c(X_13),
inference(resolve,[$cnf( $equal(c(X_13),antidomain(domain(X_13))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
( antidomain(domain(X_13)) != c(X_13)
| domain(domain(X_13)) != antidomain(antidomain(domain(X_13)))
| domain(domain(X_13)) = antidomain(c(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X_13)),antidomain(antidomain(domain(X_13)))) ),[1,0],$fot(c(X_13))]]) ).
cnf(refute_0_226,plain,
( domain(domain(X_13)) != antidomain(antidomain(domain(X_13)))
| domain(domain(X_13)) = antidomain(c(X_13)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_13)),c(X_13)) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
domain(domain(X_13)) = antidomain(c(X_13)),
inference(resolve,[$cnf( $equal(domain(domain(X_13)),antidomain(antidomain(domain(X_13)))) )],[refute_0_221,refute_0_226]) ).
cnf(refute_0_228,plain,
domain(domain(skolemFOFtoCNF_X3)) = antidomain(c(skolemFOFtoCNF_X3)),
inference(subst,[],[refute_0_227:[bind(X_13,$fot(skolemFOFtoCNF_X3))]]) ).
cnf(refute_0_229,plain,
domain_difference(X0,skolemFOFtoCNF_X0) = multiplication(domain(X0),antidomain(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_154:[bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_230,plain,
( antidomain(skolemFOFtoCNF_X0) != one
| domain_difference(X0,skolemFOFtoCNF_X0) != multiplication(domain(X0),antidomain(skolemFOFtoCNF_X0))
| domain_difference(X0,skolemFOFtoCNF_X0) = multiplication(domain(X0),one) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(X0,skolemFOFtoCNF_X0),multiplication(domain(X0),antidomain(skolemFOFtoCNF_X0))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_231,plain,
( domain_difference(X0,skolemFOFtoCNF_X0) != multiplication(domain(X0),antidomain(skolemFOFtoCNF_X0))
| domain_difference(X0,skolemFOFtoCNF_X0) = multiplication(domain(X0),one) ),
inference(resolve,[$cnf( $equal(antidomain(skolemFOFtoCNF_X0),one) )],[refute_0_202,refute_0_230]) ).
cnf(refute_0_232,plain,
domain_difference(X0,skolemFOFtoCNF_X0) = multiplication(domain(X0),one),
inference(resolve,[$cnf( $equal(domain_difference(X0,skolemFOFtoCNF_X0),multiplication(domain(X0),antidomain(skolemFOFtoCNF_X0))) )],[refute_0_229,refute_0_231]) ).
cnf(refute_0_233,plain,
multiplication(domain(X0),one) = domain(X0),
inference(subst,[],[refute_0_35:[bind(A,$fot(domain(X0)))]]) ).
cnf(refute_0_234,plain,
( domain_difference(X0,skolemFOFtoCNF_X0) != multiplication(domain(X0),one)
| multiplication(domain(X0),one) != domain(X0)
| domain_difference(X0,skolemFOFtoCNF_X0) = domain(X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain_difference(X0,skolemFOFtoCNF_X0),domain(X0)) ),[0],$fot(multiplication(domain(X0),one))]]) ).
cnf(refute_0_235,plain,
( domain_difference(X0,skolemFOFtoCNF_X0) != multiplication(domain(X0),one)
| domain_difference(X0,skolemFOFtoCNF_X0) = domain(X0) ),
inference(resolve,[$cnf( $equal(multiplication(domain(X0),one),domain(X0)) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
domain_difference(X0,skolemFOFtoCNF_X0) = domain(X0),
inference(resolve,[$cnf( $equal(domain_difference(X0,skolemFOFtoCNF_X0),multiplication(domain(X0),one)) )],[refute_0_232,refute_0_235]) ).
cnf(refute_0_237,plain,
domain_difference(domain(skolemFOFtoCNF_X3),skolemFOFtoCNF_X0) = domain(domain(skolemFOFtoCNF_X3)),
inference(subst,[],[refute_0_236:[bind(X0,$fot(domain(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_238,plain,
( domain(domain(skolemFOFtoCNF_X3)) != antidomain(c(skolemFOFtoCNF_X3))
| domain_difference(domain(skolemFOFtoCNF_X3),skolemFOFtoCNF_X0) != domain(domain(skolemFOFtoCNF_X3))
| domain_difference(domain(skolemFOFtoCNF_X3),skolemFOFtoCNF_X0) = antidomain(c(skolemFOFtoCNF_X3)) ),
inference(subst,[],[refute_0_98:[bind(X,$fot(domain_difference(domain(skolemFOFtoCNF_X3),skolemFOFtoCNF_X0))),bind(Y,$fot(domain(domain(skolemFOFtoCNF_X3)))),bind(Z,$fot(antidomain(c(skolemFOFtoCNF_X3))))]]) ).
cnf(refute_0_239,plain,
( domain(domain(skolemFOFtoCNF_X3)) != antidomain(c(skolemFOFtoCNF_X3))
| domain_difference(domain(skolemFOFtoCNF_X3),skolemFOFtoCNF_X0) = antidomain(c(skolemFOFtoCNF_X3)) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(skolemFOFtoCNF_X3),skolemFOFtoCNF_X0),domain(domain(skolemFOFtoCNF_X3))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
domain_difference(domain(skolemFOFtoCNF_X3),skolemFOFtoCNF_X0) = antidomain(c(skolemFOFtoCNF_X3)),
inference(resolve,[$cnf( $equal(domain(domain(skolemFOFtoCNF_X3)),antidomain(c(skolemFOFtoCNF_X3))) )],[refute_0_228,refute_0_239]) ).
cnf(refute_0_241,plain,
forward_diamond(zero,X_25) = domain(multiplication(zero,domain(X_25))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(zero)),bind(X1,$fot(X_25))]]) ).
cnf(refute_0_242,plain,
multiplication(zero,A) = zero,
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_243,plain,
multiplication(zero,domain(X_25)) = zero,
inference(subst,[],[refute_0_242:[bind(A,$fot(domain(X_25)))]]) ).
cnf(refute_0_244,plain,
( forward_diamond(zero,X_25) != domain(multiplication(zero,domain(X_25)))
| multiplication(zero,domain(X_25)) != zero
| forward_diamond(zero,X_25) = domain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(zero,X_25),domain(multiplication(zero,domain(X_25)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_245,plain,
( forward_diamond(zero,X_25) != domain(multiplication(zero,domain(X_25)))
| forward_diamond(zero,X_25) = domain(zero) ),
inference(resolve,[$cnf( $equal(multiplication(zero,domain(X_25)),zero) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
forward_diamond(zero,X_25) = domain(zero),
inference(resolve,[$cnf( $equal(forward_diamond(zero,X_25),domain(multiplication(zero,domain(X_25)))) )],[refute_0_241,refute_0_245]) ).
cnf(refute_0_247,plain,
( domain(zero) != zero
| forward_diamond(zero,X_25) != domain(zero)
| forward_diamond(zero,X_25) = zero ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(zero,X_25),domain(zero)) ),[1],$fot(zero)]]) ).
cnf(refute_0_248,plain,
( forward_diamond(zero,X_25) != domain(zero)
| forward_diamond(zero,X_25) = zero ),
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_130,refute_0_247]) ).
cnf(refute_0_249,plain,
forward_diamond(zero,X_25) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(zero,X_25),domain(zero)) )],[refute_0_246,refute_0_248]) ).
cnf(refute_0_250,plain,
forward_diamond(zero,X_25) = forward_diamond(zero,X_25),
introduced(tautology,[refl,[$fot(forward_diamond(zero,X_25))]]) ).
cnf(refute_0_251,plain,
( forward_diamond(zero,X_25) != forward_diamond(zero,X_25)
| zero != skolemFOFtoCNF_X0
| forward_diamond(zero,X_25) = forward_diamond(skolemFOFtoCNF_X0,X_25) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(zero,X_25),forward_diamond(zero,X_25)) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_252,plain,
( zero != skolemFOFtoCNF_X0
| forward_diamond(zero,X_25) = forward_diamond(skolemFOFtoCNF_X0,X_25) ),
inference(resolve,[$cnf( $equal(forward_diamond(zero,X_25),forward_diamond(zero,X_25)) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
forward_diamond(zero,X_25) = forward_diamond(skolemFOFtoCNF_X0,X_25),
inference(resolve,[$cnf( $equal(zero,skolemFOFtoCNF_X0) )],[refute_0_212,refute_0_252]) ).
cnf(refute_0_254,plain,
( forward_diamond(zero,X_25) != forward_diamond(skolemFOFtoCNF_X0,X_25)
| forward_diamond(zero,X_25) != zero
| forward_diamond(skolemFOFtoCNF_X0,X_25) = zero ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(zero,X_25),zero) ),[0],$fot(forward_diamond(skolemFOFtoCNF_X0,X_25))]]) ).
cnf(refute_0_255,plain,
( forward_diamond(zero,X_25) != zero
| forward_diamond(skolemFOFtoCNF_X0,X_25) = zero ),
inference(resolve,[$cnf( $equal(forward_diamond(zero,X_25),forward_diamond(skolemFOFtoCNF_X0,X_25)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
( forward_diamond(skolemFOFtoCNF_X0,X_25) != zero
| zero != skolemFOFtoCNF_X0
| forward_diamond(skolemFOFtoCNF_X0,X_25) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(forward_diamond(skolemFOFtoCNF_X0,X_25),skolemFOFtoCNF_X0) ),[0],$fot(zero)]]) ).
cnf(refute_0_257,plain,
( forward_diamond(skolemFOFtoCNF_X0,X_25) != zero
| forward_diamond(skolemFOFtoCNF_X0,X_25) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(zero,skolemFOFtoCNF_X0) )],[refute_0_212,refute_0_256]) ).
cnf(refute_0_258,plain,
( forward_diamond(zero,X_25) != zero
| forward_diamond(skolemFOFtoCNF_X0,X_25) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,X_25),zero) )],[refute_0_255,refute_0_257]) ).
cnf(refute_0_259,plain,
forward_diamond(skolemFOFtoCNF_X0,X_25) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(forward_diamond(zero,X_25),zero) )],[refute_0_249,refute_0_258]) ).
cnf(refute_0_260,plain,
forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_259:[bind(X_25,$fot(domain(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_261,plain,
domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))) = domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))),
introduced(tautology,[refl,[$fot(domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))]]) ).
cnf(refute_0_262,plain,
( domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))) != domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))
| forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)) != skolemFOFtoCNF_X0
| domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))) = domain_difference(domain(skolemFOFtoCNF_X3),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_263,plain,
( forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)) != skolemFOFtoCNF_X0
| domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))) = domain_difference(domain(skolemFOFtoCNF_X3),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))) = domain_difference(domain(skolemFOFtoCNF_X3),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),skolemFOFtoCNF_X0) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
( domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))) != domain_difference(domain(skolemFOFtoCNF_X3),skolemFOFtoCNF_X0)
| domain_difference(domain(skolemFOFtoCNF_X3),skolemFOFtoCNF_X0) != antidomain(c(skolemFOFtoCNF_X3))
| domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))) = antidomain(c(skolemFOFtoCNF_X3)) ),
inference(subst,[],[refute_0_98:[bind(X,$fot(domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))),bind(Y,$fot(domain_difference(domain(skolemFOFtoCNF_X3),skolemFOFtoCNF_X0))),bind(Z,$fot(antidomain(c(skolemFOFtoCNF_X3))))]]) ).
cnf(refute_0_266,plain,
( domain_difference(domain(skolemFOFtoCNF_X3),skolemFOFtoCNF_X0) != antidomain(c(skolemFOFtoCNF_X3))
| domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))) = antidomain(c(skolemFOFtoCNF_X3)) ),
inference(resolve,[$cnf( $equal(domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))),domain_difference(domain(skolemFOFtoCNF_X3),skolemFOFtoCNF_X0)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))) = antidomain(c(skolemFOFtoCNF_X3)),
inference(resolve,[$cnf( $equal(domain_difference(domain(skolemFOFtoCNF_X3),skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))) )],[refute_0_240,refute_0_266]) ).
cnf(refute_0_268,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))),
introduced(tautology,[refl,[$fot(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))))]]) ).
cnf(refute_0_269,plain,
( domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))) != antidomain(c(skolemFOFtoCNF_X3))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))) = forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) ),[1,1],$fot(antidomain(c(skolemFOFtoCNF_X3)))]]) ).
cnf(refute_0_270,plain,
( domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))) != antidomain(c(skolemFOFtoCNF_X3))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))) = forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))) ),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))) = forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))),
inference(resolve,[$cnf( $equal(domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))),antidomain(c(skolemFOFtoCNF_X3))) )],[refute_0_267,refute_0_270]) ).
cnf(refute_0_272,plain,
addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))),
introduced(tautology,[refl,[$fot(addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))))]]) ).
cnf(refute_0_273,plain,
( addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) != addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))) != forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))
| addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))),addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))))) ),[1,1],$fot(forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))))]]) ).
cnf(refute_0_274,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))) != forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))
| addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))),addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))),forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))),
introduced(tautology,[refl,[$fot(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))))]]) ).
cnf(refute_0_277,plain,
( addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) != addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))))
| forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)) != skolemFOFtoCNF_X0
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) ),
introduced(tautology,[equality,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_278,plain,
( forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)) != skolemFOFtoCNF_X0
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))),addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))),
inference(resolve,[$cnf( $equal(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),skolemFOFtoCNF_X0) )],[refute_0_260,refute_0_278]) ).
cnf(refute_0_280,plain,
( addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) != addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))))
| addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) != addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))))
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))) ),
inference(subst,[],[refute_0_98:[bind(X,$fot(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))))),bind(Y,$fot(addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))))),bind(Z,$fot(addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))))))]]) ).
cnf(refute_0_281,plain,
( addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) != addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))))
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))),addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))),addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))))) )],[refute_0_275,refute_0_281]) ).
cnf(refute_0_283,plain,
( addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) != addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))))
| addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))) != forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))) ),
inference(subst,[],[refute_0_98:[bind(X,$fot(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))))),bind(Y,$fot(addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))))),bind(Z,$fot(forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))))]]) ).
cnf(refute_0_284,plain,
( addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))) != forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))),addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X0,forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))),forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))) )],[refute_0_220,refute_0_284]) ).
cnf(refute_0_286,plain,
( addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) != forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))
| forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) ),[0],$fot(forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))))]]) ).
cnf(refute_0_287,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))) != forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))) ),
inference(resolve,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))),forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))) != forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))
| forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))) != forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))
| forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) ),[1],$fot(forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))))]]) ).
cnf(refute_0_289,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))) != forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))
| forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))) ),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))),forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))) )],[refute_0_271,refute_0_288]) ).
cnf(refute_0_290,plain,
( forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))) != forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))
| addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) = forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)))) ),
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) )],[refute_0_289,refute_0_287]) ).
cnf(refute_0_291,plain,
forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))) != forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))),
inference(resolve,[$cnf( $equal(addition(forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3)),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))),forward_diamond(star(skolemFOFtoCNF_X0),domain_difference(domain(skolemFOFtoCNF_X3),forward_diamond(skolemFOFtoCNF_X0,domain(skolemFOFtoCNF_X3))))) )],[refute_0_290,refute_0_0]) ).
cnf(refute_0_292,plain,
forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))) = forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))),
introduced(tautology,[refl,[$fot(forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))))]]) ).
cnf(refute_0_293,plain,
$false,
inference(resolve,[$cnf( $equal(forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3))),forward_diamond(star(skolemFOFtoCNF_X0),antidomain(c(skolemFOFtoCNF_X3)))) )],[refute_0_292,refute_0_291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : KLE133+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.11 % Command : metis --show proof --show saturation %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Thu Jun 16 10:33:14 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.11/0.31 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.16/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.47
% 0.16/0.47 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.16/0.50
%------------------------------------------------------------------------------