TSTP Solution File: KLE114+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE114+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 02:15:21 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 117
% Syntax : Number of formulae : 456 ( 253 unt; 0 def)
% Number of atoms : 752 ( 751 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 597 ( 301 ~; 296 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-2 aty)
% Number of variables : 280 ( 10 sgn 72 !; 1 ?)
% 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(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(codomain1,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero ).
fof(codomain3,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one ).
fof(codomain4,axiom,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)) ).
fof(complement,axiom,
! [X0] : c(X0) = antidomain(domain(X0)) ).
fof(domain_difference,axiom,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)) ).
fof(forward_diamond,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))) ).
fof(backward_diamond,axiom,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)) ).
fof(forward_box,axiom,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))) ).
fof(backward_box,axiom,
! [X0,X1] : backward_box(X0,X1) = c(backward_diamond(X0,c(X1))) ).
fof(goals,conjecture,
! [X0] : forward_box(X0,one) = one ).
fof(subgoal_0,plain,
! [X0] : forward_box(X0,one) = one,
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] : forward_box(X0,one) = one,
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0] : forward_box(X0,one) != one,
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
forward_box(skolemFOFtoCNF_X0,one) != one,
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(canonicalize,[],[forward_box]) ).
fof(normalize_0_3,plain,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0,X1] : backward_box(X0,X1) = c(backward_diamond(X0,c(X1))),
inference(canonicalize,[],[backward_box]) ).
fof(normalize_0_5,plain,
! [X0,X1] : backward_box(X0,X1) = c(backward_diamond(X0,c(X1))),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(canonicalize,[],[backward_diamond]) ).
fof(normalize_0_7,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A] : multiplication(A,one) = A,
inference(canonicalize,[],[multiplicative_right_identity]) ).
fof(normalize_0_9,plain,
! [A] : multiplication(A,one) = A,
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[domain4]) ).
fof(normalize_0_11,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(canonicalize,[],[complement]) ).
fof(normalize_0_13,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[domain1]) ).
fof(normalize_0_15,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[forward_diamond]) ).
fof(normalize_0_17,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_19,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_21,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(canonicalize,[],[codomain3]) ).
fof(normalize_0_23,plain,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(canonicalize,[],[codomain4]) ).
fof(normalize_0_25,plain,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(canonicalize,[],[codomain1]) ).
fof(normalize_0_27,plain,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A] : addition(A,zero) = A,
inference(canonicalize,[],[additive_identity]) ).
fof(normalize_0_29,plain,
! [A] : addition(A,zero) = A,
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(canonicalize,[],[domain_difference]) ).
fof(normalize_0_31,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[domain3]) ).
fof(normalize_0_33,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A] : multiplication(A,zero) = zero,
inference(canonicalize,[],[right_annihilation]) ).
fof(normalize_0_35,plain,
! [A] : multiplication(A,zero) = zero,
inference(specialize,[],[normalize_0_34]) ).
cnf(refute_0_0,plain,
forward_box(skolemFOFtoCNF_X0,one) != one,
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
forward_box(X0,codomain(codomain(forward_box(one,one)))) = c(forward_diamond(X0,c(codomain(codomain(forward_box(one,one)))))),
inference(subst,[],[refute_0_1:[bind(X1,$fot(codomain(codomain(forward_box(one,one)))))]]) ).
cnf(refute_0_3,plain,
backward_box(X0,X1) = c(backward_diamond(X0,c(X1))),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
backward_box(one,X_32) = c(backward_diamond(one,c(X_32))),
inference(subst,[],[refute_0_3:[bind(X0,$fot(one)),bind(X1,$fot(X_32))]]) ).
cnf(refute_0_5,plain,
backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
backward_diamond(one,X_27) = codomain(multiplication(codomain(X_27),one)),
inference(subst,[],[refute_0_5:[bind(X0,$fot(one)),bind(X1,$fot(X_27))]]) ).
cnf(refute_0_7,plain,
multiplication(A,one) = A,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_8,plain,
multiplication(codomain(X_27),one) = codomain(X_27),
inference(subst,[],[refute_0_7:[bind(A,$fot(codomain(X_27)))]]) ).
cnf(refute_0_9,plain,
( backward_diamond(one,X_27) != codomain(multiplication(codomain(X_27),one))
| multiplication(codomain(X_27),one) != codomain(X_27)
| backward_diamond(one,X_27) = codomain(codomain(X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(backward_diamond(one,X_27),codomain(multiplication(codomain(X_27),one))) ),[1,0],$fot(codomain(X_27))]]) ).
cnf(refute_0_10,plain,
( backward_diamond(one,X_27) != codomain(multiplication(codomain(X_27),one))
| backward_diamond(one,X_27) = codomain(codomain(X_27)) ),
inference(resolve,[$cnf( $equal(multiplication(codomain(X_27),one),codomain(X_27)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
backward_diamond(one,X_27) = codomain(codomain(X_27)),
inference(resolve,[$cnf( $equal(backward_diamond(one,X_27),codomain(multiplication(codomain(X_27),one))) )],[refute_0_6,refute_0_10]) ).
cnf(refute_0_12,plain,
backward_diamond(one,c(X_32)) = codomain(codomain(c(X_32))),
inference(subst,[],[refute_0_11:[bind(X_27,$fot(c(X_32)))]]) ).
cnf(refute_0_13,plain,
( backward_box(one,X_32) != c(backward_diamond(one,c(X_32)))
| backward_diamond(one,c(X_32)) != codomain(codomain(c(X_32)))
| backward_box(one,X_32) = c(codomain(codomain(c(X_32)))) ),
introduced(tautology,[equality,[$cnf( $equal(backward_box(one,X_32),c(backward_diamond(one,c(X_32)))) ),[1,0],$fot(codomain(codomain(c(X_32))))]]) ).
cnf(refute_0_14,plain,
( backward_box(one,X_32) != c(backward_diamond(one,c(X_32)))
| backward_box(one,X_32) = c(codomain(codomain(c(X_32)))) ),
inference(resolve,[$cnf( $equal(backward_diamond(one,c(X_32)),codomain(codomain(c(X_32)))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
backward_box(one,X_32) = c(codomain(codomain(c(X_32)))),
inference(resolve,[$cnf( $equal(backward_box(one,X_32),c(backward_diamond(one,c(X_32)))) )],[refute_0_4,refute_0_14]) ).
cnf(refute_0_16,plain,
backward_box(one,c(c(zero))) = c(codomain(codomain(c(c(c(zero)))))),
inference(subst,[],[refute_0_15:[bind(X_32,$fot(c(c(zero))))]]) ).
cnf(refute_0_17,plain,
domain(X0) = antidomain(antidomain(X0)),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_18,plain,
domain(domain(X_16)) = antidomain(antidomain(domain(X_16))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(domain(X_16)))]]) ).
cnf(refute_0_19,plain,
c(X0) = antidomain(domain(X0)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_20,plain,
c(X_16) = antidomain(domain(X_16)),
inference(subst,[],[refute_0_19:[bind(X0,$fot(X_16))]]) ).
cnf(refute_0_21,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_22,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_23,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( c(X_16) != antidomain(domain(X_16))
| antidomain(domain(X_16)) = c(X_16) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(c(X_16))),bind(Y,$fot(antidomain(domain(X_16))))]]) ).
cnf(refute_0_25,plain,
antidomain(domain(X_16)) = c(X_16),
inference(resolve,[$cnf( $equal(c(X_16),antidomain(domain(X_16))) )],[refute_0_20,refute_0_24]) ).
cnf(refute_0_26,plain,
( antidomain(domain(X_16)) != c(X_16)
| domain(domain(X_16)) != antidomain(antidomain(domain(X_16)))
| domain(domain(X_16)) = antidomain(c(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X_16)),antidomain(antidomain(domain(X_16)))) ),[1,0],$fot(c(X_16))]]) ).
cnf(refute_0_27,plain,
( domain(domain(X_16)) != antidomain(antidomain(domain(X_16)))
| domain(domain(X_16)) = antidomain(c(X_16)) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_16)),c(X_16)) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
domain(domain(X_16)) = antidomain(c(X_16)),
inference(resolve,[$cnf( $equal(domain(domain(X_16)),antidomain(antidomain(domain(X_16)))) )],[refute_0_18,refute_0_27]) ).
cnf(refute_0_29,plain,
domain(antidomain(X_8)) = antidomain(antidomain(antidomain(X_8))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(antidomain(X_8)))]]) ).
cnf(refute_0_30,plain,
domain(X_8) = antidomain(antidomain(X_8)),
inference(subst,[],[refute_0_17:[bind(X0,$fot(X_8))]]) ).
cnf(refute_0_31,plain,
( domain(X_8) != antidomain(antidomain(X_8))
| antidomain(antidomain(X_8)) = domain(X_8) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(domain(X_8))),bind(Y,$fot(antidomain(antidomain(X_8))))]]) ).
cnf(refute_0_32,plain,
antidomain(antidomain(X_8)) = domain(X_8),
inference(resolve,[$cnf( $equal(domain(X_8),antidomain(antidomain(X_8))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( antidomain(antidomain(X_8)) != domain(X_8)
| domain(antidomain(X_8)) != antidomain(antidomain(antidomain(X_8)))
| domain(antidomain(X_8)) = antidomain(domain(X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_8)),antidomain(antidomain(antidomain(X_8)))) ),[1,0],$fot(domain(X_8))]]) ).
cnf(refute_0_34,plain,
( domain(antidomain(X_8)) != antidomain(antidomain(antidomain(X_8)))
| domain(antidomain(X_8)) = antidomain(domain(X_8)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X_8)),domain(X_8)) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
domain(antidomain(X_8)) = antidomain(domain(X_8)),
inference(resolve,[$cnf( $equal(domain(antidomain(X_8)),antidomain(antidomain(antidomain(X_8)))) )],[refute_0_29,refute_0_34]) ).
cnf(refute_0_36,plain,
( c(X0) != antidomain(domain(X0))
| antidomain(domain(X0)) = c(X0) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(c(X0))),bind(Y,$fot(antidomain(domain(X0))))]]) ).
cnf(refute_0_37,plain,
antidomain(domain(X0)) = c(X0),
inference(resolve,[$cnf( $equal(c(X0),antidomain(domain(X0))) )],[refute_0_19,refute_0_36]) ).
cnf(refute_0_38,plain,
antidomain(domain(X_8)) = c(X_8),
inference(subst,[],[refute_0_37:[bind(X0,$fot(X_8))]]) ).
cnf(refute_0_39,plain,
( antidomain(domain(X_8)) != c(X_8)
| domain(antidomain(X_8)) != antidomain(domain(X_8))
| domain(antidomain(X_8)) = c(X_8) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(X_8)),antidomain(domain(X_8))) ),[1],$fot(c(X_8))]]) ).
cnf(refute_0_40,plain,
( domain(antidomain(X_8)) != antidomain(domain(X_8))
| domain(antidomain(X_8)) = c(X_8) ),
inference(resolve,[$cnf( $equal(antidomain(domain(X_8)),c(X_8)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
domain(antidomain(X_8)) = c(X_8),
inference(resolve,[$cnf( $equal(domain(antidomain(X_8)),antidomain(domain(X_8))) )],[refute_0_35,refute_0_40]) ).
cnf(refute_0_42,plain,
domain(antidomain(antidomain(X0))) = c(antidomain(X0)),
inference(subst,[],[refute_0_41:[bind(X_8,$fot(antidomain(X0)))]]) ).
cnf(refute_0_43,plain,
( domain(X0) != antidomain(antidomain(X0))
| antidomain(antidomain(X0)) = domain(X0) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(domain(X0))),bind(Y,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_44,plain,
antidomain(antidomain(X0)) = domain(X0),
inference(resolve,[$cnf( $equal(domain(X0),antidomain(antidomain(X0))) )],[refute_0_17,refute_0_43]) ).
cnf(refute_0_45,plain,
( antidomain(antidomain(X0)) != domain(X0)
| domain(antidomain(antidomain(X0))) != c(antidomain(X0))
| domain(domain(X0)) = c(antidomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(antidomain(X0))),c(antidomain(X0))) ),[0,0],$fot(domain(X0))]]) ).
cnf(refute_0_46,plain,
( domain(antidomain(antidomain(X0))) != c(antidomain(X0))
| domain(domain(X0)) = c(antidomain(X0)) ),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
domain(domain(X0)) = c(antidomain(X0)),
inference(resolve,[$cnf( $equal(domain(antidomain(antidomain(X0))),c(antidomain(X0))) )],[refute_0_42,refute_0_46]) ).
cnf(refute_0_48,plain,
domain(domain(X_16)) = c(antidomain(X_16)),
inference(subst,[],[refute_0_47:[bind(X0,$fot(X_16))]]) ).
cnf(refute_0_49,plain,
( domain(domain(X_16)) != antidomain(c(X_16))
| domain(domain(X_16)) != c(antidomain(X_16))
| c(antidomain(X_16)) = antidomain(c(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X_16)),antidomain(c(X_16))) ),[0],$fot(c(antidomain(X_16)))]]) ).
cnf(refute_0_50,plain,
( domain(domain(X_16)) != antidomain(c(X_16))
| c(antidomain(X_16)) = antidomain(c(X_16)) ),
inference(resolve,[$cnf( $equal(domain(domain(X_16)),c(antidomain(X_16))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
c(antidomain(X_16)) = antidomain(c(X_16)),
inference(resolve,[$cnf( $equal(domain(domain(X_16)),antidomain(c(X_16))) )],[refute_0_28,refute_0_50]) ).
cnf(refute_0_52,plain,
c(antidomain(c(c(one)))) = antidomain(c(c(c(one)))),
inference(subst,[],[refute_0_51:[bind(X_16,$fot(c(c(one))))]]) ).
cnf(refute_0_53,plain,
c(antidomain(c(one))) = antidomain(c(c(one))),
inference(subst,[],[refute_0_51:[bind(X_16,$fot(c(one)))]]) ).
cnf(refute_0_54,plain,
c(zero) = antidomain(domain(zero)),
inference(subst,[],[refute_0_19:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_55,plain,
domain(antidomain(one)) = c(one),
inference(subst,[],[refute_0_41:[bind(X_8,$fot(one))]]) ).
cnf(refute_0_56,plain,
multiplication(antidomain(one),one) = antidomain(one),
inference(subst,[],[refute_0_7:[bind(A,$fot(antidomain(one)))]]) ).
cnf(refute_0_57,plain,
multiplication(antidomain(X0),X0) = zero,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_58,plain,
multiplication(antidomain(one),one) = zero,
inference(subst,[],[refute_0_57:[bind(X0,$fot(one))]]) ).
cnf(refute_0_59,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| multiplication(antidomain(one),one) != zero
| zero = antidomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) ),[0],$fot(zero)]]) ).
cnf(refute_0_60,plain,
( multiplication(antidomain(one),one) != antidomain(one)
| zero = antidomain(one) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),zero) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
zero = antidomain(one),
inference(resolve,[$cnf( $equal(multiplication(antidomain(one),one),antidomain(one)) )],[refute_0_56,refute_0_60]) ).
cnf(refute_0_62,plain,
( zero != antidomain(one)
| antidomain(one) = zero ),
inference(subst,[],[refute_0_23:[bind(X,$fot(zero)),bind(Y,$fot(antidomain(one)))]]) ).
cnf(refute_0_63,plain,
antidomain(one) = zero,
inference(resolve,[$cnf( $equal(zero,antidomain(one)) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
( antidomain(one) != zero
| domain(antidomain(one)) != c(one)
| domain(zero) = c(one) ),
introduced(tautology,[equality,[$cnf( $equal(domain(antidomain(one)),c(one)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_65,plain,
( domain(antidomain(one)) != c(one)
| domain(zero) = c(one) ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
domain(zero) = c(one),
inference(resolve,[$cnf( $equal(domain(antidomain(one)),c(one)) )],[refute_0_55,refute_0_65]) ).
cnf(refute_0_67,plain,
( c(zero) != antidomain(domain(zero))
| domain(zero) != c(one)
| c(zero) = antidomain(c(one)) ),
introduced(tautology,[equality,[$cnf( $equal(c(zero),antidomain(domain(zero))) ),[1,0],$fot(c(one))]]) ).
cnf(refute_0_68,plain,
( c(zero) != antidomain(domain(zero))
| c(zero) = antidomain(c(one)) ),
inference(resolve,[$cnf( $equal(domain(zero),c(one)) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
c(zero) = antidomain(c(one)),
inference(resolve,[$cnf( $equal(c(zero),antidomain(domain(zero))) )],[refute_0_54,refute_0_68]) ).
cnf(refute_0_70,plain,
( c(zero) != antidomain(c(one))
| antidomain(c(one)) = c(zero) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(c(zero))),bind(Y,$fot(antidomain(c(one))))]]) ).
cnf(refute_0_71,plain,
antidomain(c(one)) = c(zero),
inference(resolve,[$cnf( $equal(c(zero),antidomain(c(one))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
( antidomain(c(one)) != c(zero)
| c(antidomain(c(one))) != antidomain(c(c(one)))
| c(c(zero)) = antidomain(c(c(one))) ),
introduced(tautology,[equality,[$cnf( $equal(c(antidomain(c(one))),antidomain(c(c(one)))) ),[0,0],$fot(c(zero))]]) ).
cnf(refute_0_73,plain,
( c(antidomain(c(one))) != antidomain(c(c(one)))
| c(c(zero)) = antidomain(c(c(one))) ),
inference(resolve,[$cnf( $equal(antidomain(c(one)),c(zero)) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
c(c(zero)) = antidomain(c(c(one))),
inference(resolve,[$cnf( $equal(c(antidomain(c(one))),antidomain(c(c(one)))) )],[refute_0_53,refute_0_73]) ).
cnf(refute_0_75,plain,
( c(c(zero)) != antidomain(c(c(one)))
| antidomain(c(c(one))) = c(c(zero)) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(c(c(zero)))),bind(Y,$fot(antidomain(c(c(one)))))]]) ).
cnf(refute_0_76,plain,
antidomain(c(c(one))) = c(c(zero)),
inference(resolve,[$cnf( $equal(c(c(zero)),antidomain(c(c(one)))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
( antidomain(c(c(one))) != c(c(zero))
| c(antidomain(c(c(one)))) != antidomain(c(c(c(one))))
| c(c(c(zero))) = antidomain(c(c(c(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(c(antidomain(c(c(one)))),antidomain(c(c(c(one))))) ),[0,0],$fot(c(c(zero)))]]) ).
cnf(refute_0_78,plain,
( c(antidomain(c(c(one)))) != antidomain(c(c(c(one))))
| c(c(c(zero))) = antidomain(c(c(c(one)))) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(one))),c(c(zero))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
c(c(c(zero))) = antidomain(c(c(c(one)))),
inference(resolve,[$cnf( $equal(c(antidomain(c(c(one)))),antidomain(c(c(c(one))))) )],[refute_0_52,refute_0_78]) ).
cnf(refute_0_80,plain,
forward_box(one,X_51) = c(forward_diamond(one,c(X_51))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(one)),bind(X1,$fot(X_51))]]) ).
cnf(refute_0_81,plain,
forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_82,plain,
forward_diamond(one,X_44) = domain(multiplication(one,domain(X_44))),
inference(subst,[],[refute_0_81:[bind(X0,$fot(one)),bind(X1,$fot(X_44))]]) ).
cnf(refute_0_83,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_84,plain,
multiplication(one,domain(X_44)) = domain(X_44),
inference(subst,[],[refute_0_83:[bind(A,$fot(domain(X_44)))]]) ).
cnf(refute_0_85,plain,
( forward_diamond(one,X_44) != domain(multiplication(one,domain(X_44)))
| multiplication(one,domain(X_44)) != domain(X_44)
| forward_diamond(one,X_44) = domain(domain(X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(one,X_44),domain(multiplication(one,domain(X_44)))) ),[1,0],$fot(domain(X_44))]]) ).
cnf(refute_0_86,plain,
( forward_diamond(one,X_44) != domain(multiplication(one,domain(X_44)))
| forward_diamond(one,X_44) = domain(domain(X_44)) ),
inference(resolve,[$cnf( $equal(multiplication(one,domain(X_44)),domain(X_44)) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
forward_diamond(one,X_44) = domain(domain(X_44)),
inference(resolve,[$cnf( $equal(forward_diamond(one,X_44),domain(multiplication(one,domain(X_44)))) )],[refute_0_82,refute_0_86]) ).
cnf(refute_0_88,plain,
c(antidomain(X0)) = antidomain(c(X0)),
inference(subst,[],[refute_0_51:[bind(X_16,$fot(X0))]]) ).
cnf(refute_0_89,plain,
( c(antidomain(X0)) != antidomain(c(X0))
| domain(domain(X0)) != c(antidomain(X0))
| domain(domain(X0)) = antidomain(c(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain(X0)),c(antidomain(X0))) ),[1],$fot(antidomain(c(X0)))]]) ).
cnf(refute_0_90,plain,
( domain(domain(X0)) != c(antidomain(X0))
| domain(domain(X0)) = antidomain(c(X0)) ),
inference(resolve,[$cnf( $equal(c(antidomain(X0)),antidomain(c(X0))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
domain(domain(X0)) = antidomain(c(X0)),
inference(resolve,[$cnf( $equal(domain(domain(X0)),c(antidomain(X0))) )],[refute_0_47,refute_0_90]) ).
cnf(refute_0_92,plain,
domain(domain(X_44)) = antidomain(c(X_44)),
inference(subst,[],[refute_0_91:[bind(X0,$fot(X_44))]]) ).
cnf(refute_0_93,plain,
( domain(domain(X_44)) != antidomain(c(X_44))
| forward_diamond(one,X_44) != domain(domain(X_44))
| forward_diamond(one,X_44) = antidomain(c(X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(one,X_44),domain(domain(X_44))) ),[1],$fot(antidomain(c(X_44)))]]) ).
cnf(refute_0_94,plain,
( forward_diamond(one,X_44) != domain(domain(X_44))
| forward_diamond(one,X_44) = antidomain(c(X_44)) ),
inference(resolve,[$cnf( $equal(domain(domain(X_44)),antidomain(c(X_44))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
forward_diamond(one,X_44) = antidomain(c(X_44)),
inference(resolve,[$cnf( $equal(forward_diamond(one,X_44),domain(domain(X_44))) )],[refute_0_87,refute_0_94]) ).
cnf(refute_0_96,plain,
forward_diamond(one,c(X_51)) = antidomain(c(c(X_51))),
inference(subst,[],[refute_0_95:[bind(X_44,$fot(c(X_51)))]]) ).
cnf(refute_0_97,plain,
( forward_box(one,X_51) != c(forward_diamond(one,c(X_51)))
| forward_diamond(one,c(X_51)) != antidomain(c(c(X_51)))
| forward_box(one,X_51) = c(antidomain(c(c(X_51)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,X_51),c(forward_diamond(one,c(X_51)))) ),[1,0],$fot(antidomain(c(c(X_51))))]]) ).
cnf(refute_0_98,plain,
( forward_box(one,X_51) != c(forward_diamond(one,c(X_51)))
| forward_box(one,X_51) = c(antidomain(c(c(X_51)))) ),
inference(resolve,[$cnf( $equal(forward_diamond(one,c(X_51)),antidomain(c(c(X_51)))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
forward_box(one,X_51) = c(antidomain(c(c(X_51)))),
inference(resolve,[$cnf( $equal(forward_box(one,X_51),c(forward_diamond(one,c(X_51)))) )],[refute_0_80,refute_0_98]) ).
cnf(refute_0_100,plain,
c(antidomain(c(c(X_51)))) = antidomain(c(c(c(X_51)))),
inference(subst,[],[refute_0_51:[bind(X_16,$fot(c(c(X_51))))]]) ).
cnf(refute_0_101,plain,
( c(antidomain(c(c(X_51)))) != antidomain(c(c(c(X_51))))
| forward_box(one,X_51) != c(antidomain(c(c(X_51))))
| forward_box(one,X_51) = antidomain(c(c(c(X_51)))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(one,X_51),c(antidomain(c(c(X_51))))) ),[1],$fot(antidomain(c(c(c(X_51)))))]]) ).
cnf(refute_0_102,plain,
( forward_box(one,X_51) != c(antidomain(c(c(X_51))))
| forward_box(one,X_51) = antidomain(c(c(c(X_51)))) ),
inference(resolve,[$cnf( $equal(c(antidomain(c(c(X_51)))),antidomain(c(c(c(X_51))))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
forward_box(one,X_51) = antidomain(c(c(c(X_51)))),
inference(resolve,[$cnf( $equal(forward_box(one,X_51),c(antidomain(c(c(X_51))))) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
( forward_box(one,X_51) != antidomain(c(c(c(X_51))))
| antidomain(c(c(c(X_51)))) = forward_box(one,X_51) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(forward_box(one,X_51))),bind(Y,$fot(antidomain(c(c(c(X_51))))))]]) ).
cnf(refute_0_105,plain,
antidomain(c(c(c(X_51)))) = forward_box(one,X_51),
inference(resolve,[$cnf( $equal(forward_box(one,X_51),antidomain(c(c(c(X_51))))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
antidomain(c(c(c(one)))) = forward_box(one,one),
inference(subst,[],[refute_0_105:[bind(X_51,$fot(one))]]) ).
cnf(refute_0_107,plain,
( antidomain(c(c(c(one)))) != forward_box(one,one)
| c(c(c(zero))) != antidomain(c(c(c(one))))
| c(c(c(zero))) = forward_box(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(c(c(c(zero))),antidomain(c(c(c(one))))) ),[1],$fot(forward_box(one,one))]]) ).
cnf(refute_0_108,plain,
( c(c(c(zero))) != antidomain(c(c(c(one))))
| c(c(c(zero))) = forward_box(one,one) ),
inference(resolve,[$cnf( $equal(antidomain(c(c(c(one)))),forward_box(one,one)) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
c(c(c(zero))) = forward_box(one,one),
inference(resolve,[$cnf( $equal(c(c(c(zero))),antidomain(c(c(c(one))))) )],[refute_0_79,refute_0_108]) ).
cnf(refute_0_110,plain,
( backward_box(one,c(c(zero))) != c(codomain(codomain(c(c(c(zero))))))
| c(c(c(zero))) != forward_box(one,one)
| backward_box(one,c(c(zero))) = c(codomain(codomain(forward_box(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(backward_box(one,c(c(zero))),c(codomain(codomain(c(c(c(zero))))))) ),[1,0,0,0],$fot(forward_box(one,one))]]) ).
cnf(refute_0_111,plain,
( backward_box(one,c(c(zero))) != c(codomain(codomain(c(c(c(zero))))))
| backward_box(one,c(c(zero))) = c(codomain(codomain(forward_box(one,one)))) ),
inference(resolve,[$cnf( $equal(c(c(c(zero))),forward_box(one,one)) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
backward_box(one,c(c(zero))) = c(codomain(codomain(forward_box(one,one)))),
inference(resolve,[$cnf( $equal(backward_box(one,c(c(zero))),c(codomain(codomain(c(c(c(zero))))))) )],[refute_0_16,refute_0_111]) ).
cnf(refute_0_113,plain,
( backward_box(one,c(c(zero))) != c(codomain(codomain(forward_box(one,one))))
| c(codomain(codomain(forward_box(one,one)))) = backward_box(one,c(c(zero))) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(backward_box(one,c(c(zero))))),bind(Y,$fot(c(codomain(codomain(forward_box(one,one))))))]]) ).
cnf(refute_0_114,plain,
c(codomain(codomain(forward_box(one,one)))) = backward_box(one,c(c(zero))),
inference(resolve,[$cnf( $equal(backward_box(one,c(c(zero))),c(codomain(codomain(forward_box(one,one))))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
( c(codomain(codomain(forward_box(one,one)))) != backward_box(one,c(c(zero)))
| forward_box(X0,codomain(codomain(forward_box(one,one)))) != c(forward_diamond(X0,c(codomain(codomain(forward_box(one,one))))))
| forward_box(X0,codomain(codomain(forward_box(one,one)))) = c(forward_diamond(X0,backward_box(one,c(c(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(X0,codomain(codomain(forward_box(one,one)))),c(forward_diamond(X0,c(codomain(codomain(forward_box(one,one))))))) ),[1,0,1],$fot(backward_box(one,c(c(zero))))]]) ).
cnf(refute_0_116,plain,
( forward_box(X0,codomain(codomain(forward_box(one,one)))) != c(forward_diamond(X0,c(codomain(codomain(forward_box(one,one))))))
| forward_box(X0,codomain(codomain(forward_box(one,one)))) = c(forward_diamond(X0,backward_box(one,c(c(zero))))) ),
inference(resolve,[$cnf( $equal(c(codomain(codomain(forward_box(one,one)))),backward_box(one,c(c(zero)))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
forward_box(X0,codomain(codomain(forward_box(one,one)))) = c(forward_diamond(X0,backward_box(one,c(c(zero))))),
inference(resolve,[$cnf( $equal(forward_box(X0,codomain(codomain(forward_box(one,one)))),c(forward_diamond(X0,c(codomain(codomain(forward_box(one,one))))))) )],[refute_0_2,refute_0_116]) ).
cnf(refute_0_118,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_119,plain,
addition(zero,coantidomain(zero)) = addition(coantidomain(zero),zero),
inference(subst,[],[refute_0_118:[bind(A,$fot(zero)),bind(B,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_120,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_121,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_122,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_118,refute_0_121]) ).
cnf(refute_0_123,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(subst,[],[refute_0_122:[bind(A,$fot(coantidomain(X0))),bind(B,$fot(coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_124,plain,
( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != addition(coantidomain(X0),coantidomain(coantidomain(X0)))
| addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) ),[0],$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_125,plain,
( addition(coantidomain(coantidomain(X0)),coantidomain(X0)) != one
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(coantidomain(X0)),coantidomain(X0)),one) )],[refute_0_120,refute_0_125]) ).
cnf(refute_0_127,plain,
codomain(X0) = coantidomain(coantidomain(X0)),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_128,plain,
( codomain(X0) != coantidomain(coantidomain(X0))
| coantidomain(coantidomain(X0)) = codomain(X0) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(codomain(X0))),bind(Y,$fot(coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_129,plain,
coantidomain(coantidomain(X0)) = codomain(X0),
inference(resolve,[$cnf( $equal(codomain(X0),coantidomain(coantidomain(X0))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
introduced(tautology,[refl,[$fot(addition(coantidomain(X0),coantidomain(coantidomain(X0))))]]) ).
cnf(refute_0_131,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != addition(coantidomain(X0),coantidomain(coantidomain(X0)))
| coantidomain(coantidomain(X0)) != codomain(X0)
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) ),[1,1],$fot(codomain(X0))]]) ).
cnf(refute_0_132,plain,
( coantidomain(coantidomain(X0)) != codomain(X0)
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),coantidomain(coantidomain(X0)))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = addition(coantidomain(X0),codomain(X0)),
inference(resolve,[$cnf( $equal(coantidomain(coantidomain(X0)),codomain(X0)) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != addition(coantidomain(X0),codomain(X0))
| addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
| addition(coantidomain(X0),codomain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) ),[0],$fot(addition(coantidomain(X0),codomain(X0)))]]) ).
cnf(refute_0_135,plain,
( addition(coantidomain(X0),coantidomain(coantidomain(X0))) != one
| addition(coantidomain(X0),codomain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),addition(coantidomain(X0),codomain(X0))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
addition(coantidomain(X0),codomain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(X0),coantidomain(coantidomain(X0))),one) )],[refute_0_126,refute_0_135]) ).
cnf(refute_0_137,plain,
addition(coantidomain(one),codomain(one)) = one,
inference(subst,[],[refute_0_136:[bind(X0,$fot(one))]]) ).
cnf(refute_0_138,plain,
codomain(one) = coantidomain(coantidomain(one)),
inference(subst,[],[refute_0_127:[bind(X0,$fot(one))]]) ).
cnf(refute_0_139,plain,
multiplication(one,coantidomain(one)) = coantidomain(one),
inference(subst,[],[refute_0_83:[bind(A,$fot(coantidomain(one)))]]) ).
cnf(refute_0_140,plain,
multiplication(X0,coantidomain(X0)) = zero,
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_141,plain,
multiplication(one,coantidomain(one)) = zero,
inference(subst,[],[refute_0_140:[bind(X0,$fot(one))]]) ).
cnf(refute_0_142,plain,
( multiplication(one,coantidomain(one)) != coantidomain(one)
| multiplication(one,coantidomain(one)) != zero
| zero = coantidomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(one,coantidomain(one)),coantidomain(one)) ),[0],$fot(zero)]]) ).
cnf(refute_0_143,plain,
( multiplication(one,coantidomain(one)) != coantidomain(one)
| zero = coantidomain(one) ),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(one)),zero) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
zero = coantidomain(one),
inference(resolve,[$cnf( $equal(multiplication(one,coantidomain(one)),coantidomain(one)) )],[refute_0_139,refute_0_143]) ).
cnf(refute_0_145,plain,
( zero != coantidomain(one)
| coantidomain(one) = zero ),
inference(subst,[],[refute_0_23:[bind(X,$fot(zero)),bind(Y,$fot(coantidomain(one)))]]) ).
cnf(refute_0_146,plain,
coantidomain(one) = zero,
inference(resolve,[$cnf( $equal(zero,coantidomain(one)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
( coantidomain(one) != zero
| codomain(one) != coantidomain(coantidomain(one))
| codomain(one) = coantidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(one),coantidomain(coantidomain(one))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_148,plain,
( codomain(one) != coantidomain(coantidomain(one))
| codomain(one) = coantidomain(zero) ),
inference(resolve,[$cnf( $equal(coantidomain(one),zero) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
codomain(one) = coantidomain(zero),
inference(resolve,[$cnf( $equal(codomain(one),coantidomain(coantidomain(one))) )],[refute_0_138,refute_0_148]) ).
cnf(refute_0_150,plain,
( addition(coantidomain(one),codomain(one)) != one
| codomain(one) != coantidomain(zero)
| addition(coantidomain(one),coantidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),codomain(one)),one) ),[0,1],$fot(coantidomain(zero))]]) ).
cnf(refute_0_151,plain,
( addition(coantidomain(one),codomain(one)) != one
| addition(coantidomain(one),coantidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(codomain(one),coantidomain(zero)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
addition(coantidomain(one),coantidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(one),codomain(one)),one) )],[refute_0_137,refute_0_151]) ).
cnf(refute_0_153,plain,
addition(coantidomain(one),coantidomain(zero)) = addition(coantidomain(one),coantidomain(zero)),
introduced(tautology,[refl,[$fot(addition(coantidomain(one),coantidomain(zero)))]]) ).
cnf(refute_0_154,plain,
( addition(coantidomain(one),coantidomain(zero)) != addition(coantidomain(one),coantidomain(zero))
| coantidomain(one) != zero
| addition(coantidomain(one),coantidomain(zero)) = addition(zero,coantidomain(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),addition(coantidomain(one),coantidomain(zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_155,plain,
( coantidomain(one) != zero
| addition(coantidomain(one),coantidomain(zero)) = addition(zero,coantidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),addition(coantidomain(one),coantidomain(zero))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
addition(coantidomain(one),coantidomain(zero)) = addition(zero,coantidomain(zero)),
inference(resolve,[$cnf( $equal(coantidomain(one),zero) )],[refute_0_146,refute_0_155]) ).
cnf(refute_0_157,plain,
( addition(coantidomain(one),coantidomain(zero)) != addition(zero,coantidomain(zero))
| addition(coantidomain(one),coantidomain(zero)) != one
| addition(zero,coantidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),one) ),[0],$fot(addition(zero,coantidomain(zero)))]]) ).
cnf(refute_0_158,plain,
( addition(coantidomain(one),coantidomain(zero)) != one
| addition(zero,coantidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),addition(zero,coantidomain(zero))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
addition(zero,coantidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(coantidomain(one),coantidomain(zero)),one) )],[refute_0_152,refute_0_158]) ).
cnf(refute_0_160,plain,
( addition(zero,coantidomain(zero)) != addition(coantidomain(zero),zero)
| addition(zero,coantidomain(zero)) != one
| one = addition(coantidomain(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,coantidomain(zero)),addition(coantidomain(zero),zero)) ),[0],$fot(one)]]) ).
cnf(refute_0_161,plain,
( addition(zero,coantidomain(zero)) != addition(coantidomain(zero),zero)
| one = addition(coantidomain(zero),zero) ),
inference(resolve,[$cnf( $equal(addition(zero,coantidomain(zero)),one) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
one = addition(coantidomain(zero),zero),
inference(resolve,[$cnf( $equal(addition(zero,coantidomain(zero)),addition(coantidomain(zero),zero)) )],[refute_0_119,refute_0_161]) ).
cnf(refute_0_163,plain,
addition(A,zero) = A,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_164,plain,
addition(coantidomain(zero),zero) = coantidomain(zero),
inference(subst,[],[refute_0_163:[bind(A,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_165,plain,
( addition(coantidomain(zero),zero) != coantidomain(zero)
| one != addition(coantidomain(zero),zero)
| one = coantidomain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(one,addition(coantidomain(zero),zero)) ),[1],$fot(coantidomain(zero))]]) ).
cnf(refute_0_166,plain,
( one != addition(coantidomain(zero),zero)
| one = coantidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(coantidomain(zero),zero),coantidomain(zero)) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
one = coantidomain(zero),
inference(resolve,[$cnf( $equal(one,addition(coantidomain(zero),zero)) )],[refute_0_162,refute_0_166]) ).
cnf(refute_0_168,plain,
( one != coantidomain(zero)
| coantidomain(zero) = one ),
inference(subst,[],[refute_0_23:[bind(X,$fot(one)),bind(Y,$fot(coantidomain(zero)))]]) ).
cnf(refute_0_169,plain,
coantidomain(zero) = one,
inference(resolve,[$cnf( $equal(one,coantidomain(zero)) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_171,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_23,refute_0_170]) ).
cnf(refute_0_172,plain,
( coantidomain(zero) != one
| codomain(one) != coantidomain(zero)
| codomain(one) = one ),
inference(subst,[],[refute_0_171:[bind(X,$fot(codomain(one))),bind(Y,$fot(coantidomain(zero))),bind(Z,$fot(one))]]) ).
cnf(refute_0_173,plain,
( coantidomain(zero) != one
| codomain(one) = one ),
inference(resolve,[$cnf( $equal(codomain(one),coantidomain(zero)) )],[refute_0_149,refute_0_172]) ).
cnf(refute_0_174,plain,
codomain(one) = one,
inference(resolve,[$cnf( $equal(coantidomain(zero),one) )],[refute_0_169,refute_0_173]) ).
cnf(refute_0_175,plain,
forward_diamond(X_43,one) = domain(multiplication(X_43,domain(one))),
inference(subst,[],[refute_0_81:[bind(X0,$fot(X_43)),bind(X1,$fot(one))]]) ).
cnf(refute_0_176,plain,
domain(one) = antidomain(antidomain(one)),
inference(subst,[],[refute_0_17:[bind(X0,$fot(one))]]) ).
cnf(refute_0_177,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_178,plain,
( domain(one) != antidomain(antidomain(one))
| domain(one) = antidomain(zero) ),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_63,refute_0_177]) ).
cnf(refute_0_179,plain,
domain(one) = antidomain(zero),
inference(resolve,[$cnf( $equal(domain(one),antidomain(antidomain(one))) )],[refute_0_176,refute_0_178]) ).
cnf(refute_0_180,plain,
( domain(one) != antidomain(zero)
| forward_diamond(X_43,one) != domain(multiplication(X_43,domain(one)))
| forward_diamond(X_43,one) = domain(multiplication(X_43,antidomain(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_43,one),domain(multiplication(X_43,domain(one)))) ),[1,0,1],$fot(antidomain(zero))]]) ).
cnf(refute_0_181,plain,
( forward_diamond(X_43,one) != domain(multiplication(X_43,domain(one)))
| forward_diamond(X_43,one) = domain(multiplication(X_43,antidomain(zero))) ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
forward_diamond(X_43,one) = domain(multiplication(X_43,antidomain(zero))),
inference(resolve,[$cnf( $equal(forward_diamond(X_43,one),domain(multiplication(X_43,domain(one)))) )],[refute_0_175,refute_0_181]) ).
cnf(refute_0_183,plain,
forward_diamond(antidomain(zero),one) = domain(multiplication(antidomain(zero),antidomain(zero))),
inference(subst,[],[refute_0_182:[bind(X_43,$fot(antidomain(zero)))]]) ).
cnf(refute_0_184,plain,
domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_185,plain,
domain_difference(one,X_24) = multiplication(domain(one),antidomain(X_24)),
inference(subst,[],[refute_0_184:[bind(X0,$fot(one)),bind(X1,$fot(X_24))]]) ).
cnf(refute_0_186,plain,
( domain(one) != antidomain(zero)
| domain_difference(one,X_24) != multiplication(domain(one),antidomain(X_24))
| domain_difference(one,X_24) = multiplication(antidomain(zero),antidomain(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(domain_difference(one,X_24),multiplication(domain(one),antidomain(X_24))) ),[1,0],$fot(antidomain(zero))]]) ).
cnf(refute_0_187,plain,
( domain_difference(one,X_24) != multiplication(domain(one),antidomain(X_24))
| domain_difference(one,X_24) = multiplication(antidomain(zero),antidomain(X_24)) ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_179,refute_0_186]) ).
cnf(refute_0_188,plain,
domain_difference(one,X_24) = multiplication(antidomain(zero),antidomain(X_24)),
inference(resolve,[$cnf( $equal(domain_difference(one,X_24),multiplication(domain(one),antidomain(X_24))) )],[refute_0_185,refute_0_187]) ).
cnf(refute_0_189,plain,
domain_difference(one,zero) = multiplication(antidomain(zero),antidomain(zero)),
inference(subst,[],[refute_0_188:[bind(X_24,$fot(zero))]]) ).
cnf(refute_0_190,plain,
( domain_difference(one,zero) != multiplication(antidomain(zero),antidomain(zero))
| multiplication(antidomain(zero),antidomain(zero)) = domain_difference(one,zero) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(domain_difference(one,zero))),bind(Y,$fot(multiplication(antidomain(zero),antidomain(zero))))]]) ).
cnf(refute_0_191,plain,
multiplication(antidomain(zero),antidomain(zero)) = domain_difference(one,zero),
inference(resolve,[$cnf( $equal(domain_difference(one,zero),multiplication(antidomain(zero),antidomain(zero))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
( forward_diamond(antidomain(zero),one) != domain(multiplication(antidomain(zero),antidomain(zero)))
| multiplication(antidomain(zero),antidomain(zero)) != domain_difference(one,zero)
| forward_diamond(antidomain(zero),one) = domain(domain_difference(one,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(antidomain(zero),one),domain(multiplication(antidomain(zero),antidomain(zero)))) ),[1,0],$fot(domain_difference(one,zero))]]) ).
cnf(refute_0_193,plain,
( forward_diamond(antidomain(zero),one) != domain(multiplication(antidomain(zero),antidomain(zero)))
| forward_diamond(antidomain(zero),one) = domain(domain_difference(one,zero)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),antidomain(zero)),domain_difference(one,zero)) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
forward_diamond(antidomain(zero),one) = domain(domain_difference(one,zero)),
inference(resolve,[$cnf( $equal(forward_diamond(antidomain(zero),one),domain(multiplication(antidomain(zero),antidomain(zero)))) )],[refute_0_183,refute_0_193]) ).
cnf(refute_0_195,plain,
domain(antidomain(zero)) = c(zero),
inference(subst,[],[refute_0_41:[bind(X_8,$fot(zero))]]) ).
cnf(refute_0_196,plain,
multiplication(X_43,one) = X_43,
inference(subst,[],[refute_0_7:[bind(A,$fot(X_43))]]) ).
cnf(refute_0_197,plain,
addition(zero,antidomain(zero)) = addition(antidomain(zero),zero),
inference(subst,[],[refute_0_118:[bind(A,$fot(zero)),bind(B,$fot(antidomain(zero)))]]) ).
cnf(refute_0_198,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_199,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(subst,[],[refute_0_122:[bind(A,$fot(antidomain(X0))),bind(B,$fot(antidomain(antidomain(X0))))]]) ).
cnf(refute_0_200,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != addition(antidomain(X0),antidomain(antidomain(X0)))
| addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) ),[0],$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_201,plain,
( addition(antidomain(antidomain(X0)),antidomain(X0)) != one
| addition(antidomain(X0),antidomain(antidomain(X0))) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(antidomain(X0)),antidomain(X0)),one) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(antidomain(X0))),
introduced(tautology,[refl,[$fot(addition(antidomain(X0),antidomain(antidomain(X0))))]]) ).
cnf(refute_0_204,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_205,plain,
( antidomain(antidomain(X0)) != domain(X0)
| addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),antidomain(antidomain(X0)))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(antidomain(X0),domain(X0)),
inference(resolve,[$cnf( $equal(antidomain(antidomain(X0)),domain(X0)) )],[refute_0_44,refute_0_205]) ).
cnf(refute_0_207,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != addition(antidomain(X0),domain(X0))
| addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) ),[0],$fot(addition(antidomain(X0),domain(X0)))]]) ).
cnf(refute_0_208,plain,
( addition(antidomain(X0),antidomain(antidomain(X0))) != one
| addition(antidomain(X0),domain(X0)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),addition(antidomain(X0),domain(X0))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
addition(antidomain(X0),domain(X0)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(X0),antidomain(antidomain(X0))),one) )],[refute_0_202,refute_0_208]) ).
cnf(refute_0_210,plain,
addition(antidomain(one),domain(one)) = one,
inference(subst,[],[refute_0_209:[bind(X0,$fot(one))]]) ).
cnf(refute_0_211,plain,
( addition(antidomain(one),domain(one)) != one
| domain(one) != antidomain(zero)
| addition(antidomain(one),antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),domain(one)),one) ),[0,1],$fot(antidomain(zero))]]) ).
cnf(refute_0_212,plain,
( addition(antidomain(one),domain(one)) != one
| addition(antidomain(one),antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_179,refute_0_211]) ).
cnf(refute_0_213,plain,
addition(antidomain(one),antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),domain(one)),one) )],[refute_0_210,refute_0_212]) ).
cnf(refute_0_214,plain,
addition(antidomain(one),antidomain(zero)) = addition(antidomain(one),antidomain(zero)),
introduced(tautology,[refl,[$fot(addition(antidomain(one),antidomain(zero)))]]) ).
cnf(refute_0_215,plain,
( addition(antidomain(one),antidomain(zero)) != addition(antidomain(one),antidomain(zero))
| antidomain(one) != zero
| addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(antidomain(one),antidomain(zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_216,plain,
( antidomain(one) != zero
| addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)) ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(antidomain(one),antidomain(zero))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
addition(antidomain(one),antidomain(zero)) = addition(zero,antidomain(zero)),
inference(resolve,[$cnf( $equal(antidomain(one),zero) )],[refute_0_63,refute_0_216]) ).
cnf(refute_0_218,plain,
( addition(antidomain(one),antidomain(zero)) != addition(zero,antidomain(zero))
| addition(antidomain(one),antidomain(zero)) != one
| addition(zero,antidomain(zero)) = one ),
introduced(tautology,[equality,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) ),[0],$fot(addition(zero,antidomain(zero)))]]) ).
cnf(refute_0_219,plain,
( addition(antidomain(one),antidomain(zero)) != one
| addition(zero,antidomain(zero)) = one ),
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),addition(zero,antidomain(zero))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
addition(zero,antidomain(zero)) = one,
inference(resolve,[$cnf( $equal(addition(antidomain(one),antidomain(zero)),one) )],[refute_0_213,refute_0_219]) ).
cnf(refute_0_221,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| addition(zero,antidomain(zero)) != one
| one = addition(antidomain(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) ),[0],$fot(one)]]) ).
cnf(refute_0_222,plain,
( addition(zero,antidomain(zero)) != addition(antidomain(zero),zero)
| one = addition(antidomain(zero),zero) ),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),one) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
one = addition(antidomain(zero),zero),
inference(resolve,[$cnf( $equal(addition(zero,antidomain(zero)),addition(antidomain(zero),zero)) )],[refute_0_197,refute_0_222]) ).
cnf(refute_0_224,plain,
addition(antidomain(zero),zero) = antidomain(zero),
inference(subst,[],[refute_0_163:[bind(A,$fot(antidomain(zero)))]]) ).
cnf(refute_0_225,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_226,plain,
( one != addition(antidomain(zero),zero)
| one = antidomain(zero) ),
inference(resolve,[$cnf( $equal(addition(antidomain(zero),zero),antidomain(zero)) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
one = antidomain(zero),
inference(resolve,[$cnf( $equal(one,addition(antidomain(zero),zero)) )],[refute_0_223,refute_0_226]) ).
cnf(refute_0_228,plain,
( one != antidomain(zero)
| antidomain(zero) = one ),
inference(subst,[],[refute_0_23:[bind(X,$fot(one)),bind(Y,$fot(antidomain(zero)))]]) ).
cnf(refute_0_229,plain,
antidomain(zero) = one,
inference(resolve,[$cnf( $equal(one,antidomain(zero)) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
multiplication(X_43,antidomain(zero)) = multiplication(X_43,antidomain(zero)),
introduced(tautology,[refl,[$fot(multiplication(X_43,antidomain(zero)))]]) ).
cnf(refute_0_231,plain,
( antidomain(zero) != one
| multiplication(X_43,antidomain(zero)) != multiplication(X_43,antidomain(zero))
| multiplication(X_43,antidomain(zero)) = multiplication(X_43,one) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(X_43,antidomain(zero)),multiplication(X_43,antidomain(zero))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_232,plain,
( antidomain(zero) != one
| multiplication(X_43,antidomain(zero)) = multiplication(X_43,one) ),
inference(resolve,[$cnf( $equal(multiplication(X_43,antidomain(zero)),multiplication(X_43,antidomain(zero))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
multiplication(X_43,antidomain(zero)) = multiplication(X_43,one),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_229,refute_0_232]) ).
cnf(refute_0_234,plain,
( multiplication(X_43,antidomain(zero)) != multiplication(X_43,one)
| multiplication(X_43,one) != X_43
| multiplication(X_43,antidomain(zero)) = X_43 ),
inference(subst,[],[refute_0_171:[bind(X,$fot(multiplication(X_43,antidomain(zero)))),bind(Y,$fot(multiplication(X_43,one))),bind(Z,$fot(X_43))]]) ).
cnf(refute_0_235,plain,
( multiplication(X_43,one) != X_43
| multiplication(X_43,antidomain(zero)) = X_43 ),
inference(resolve,[$cnf( $equal(multiplication(X_43,antidomain(zero)),multiplication(X_43,one)) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
multiplication(X_43,antidomain(zero)) = X_43,
inference(resolve,[$cnf( $equal(multiplication(X_43,one),X_43) )],[refute_0_196,refute_0_235]) ).
cnf(refute_0_237,plain,
domain(multiplication(X_43,antidomain(zero))) = domain(multiplication(X_43,antidomain(zero))),
introduced(tautology,[refl,[$fot(domain(multiplication(X_43,antidomain(zero))))]]) ).
cnf(refute_0_238,plain,
( domain(multiplication(X_43,antidomain(zero))) != domain(multiplication(X_43,antidomain(zero)))
| multiplication(X_43,antidomain(zero)) != X_43
| domain(multiplication(X_43,antidomain(zero))) = domain(X_43) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X_43,antidomain(zero))),domain(multiplication(X_43,antidomain(zero)))) ),[1,0],$fot(X_43)]]) ).
cnf(refute_0_239,plain,
( multiplication(X_43,antidomain(zero)) != X_43
| domain(multiplication(X_43,antidomain(zero))) = domain(X_43) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_43,antidomain(zero))),domain(multiplication(X_43,antidomain(zero)))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
domain(multiplication(X_43,antidomain(zero))) = domain(X_43),
inference(resolve,[$cnf( $equal(multiplication(X_43,antidomain(zero)),X_43) )],[refute_0_236,refute_0_239]) ).
cnf(refute_0_241,plain,
( domain(multiplication(X_43,antidomain(zero))) != domain(X_43)
| forward_diamond(X_43,one) != domain(multiplication(X_43,antidomain(zero)))
| forward_diamond(X_43,one) = domain(X_43) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X_43,one),domain(multiplication(X_43,antidomain(zero)))) ),[1],$fot(domain(X_43))]]) ).
cnf(refute_0_242,plain,
( forward_diamond(X_43,one) != domain(multiplication(X_43,antidomain(zero)))
| forward_diamond(X_43,one) = domain(X_43) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X_43,antidomain(zero))),domain(X_43)) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
forward_diamond(X_43,one) = domain(X_43),
inference(resolve,[$cnf( $equal(forward_diamond(X_43,one),domain(multiplication(X_43,antidomain(zero)))) )],[refute_0_182,refute_0_242]) ).
cnf(refute_0_244,plain,
forward_diamond(antidomain(zero),one) = domain(antidomain(zero)),
inference(subst,[],[refute_0_243:[bind(X_43,$fot(antidomain(zero)))]]) ).
cnf(refute_0_245,plain,
( domain(antidomain(zero)) != c(zero)
| forward_diamond(antidomain(zero),one) != domain(antidomain(zero))
| forward_diamond(antidomain(zero),one) = c(zero) ),
inference(subst,[],[refute_0_171:[bind(X,$fot(forward_diamond(antidomain(zero),one))),bind(Y,$fot(domain(antidomain(zero)))),bind(Z,$fot(c(zero)))]]) ).
cnf(refute_0_246,plain,
( domain(antidomain(zero)) != c(zero)
| forward_diamond(antidomain(zero),one) = c(zero) ),
inference(resolve,[$cnf( $equal(forward_diamond(antidomain(zero),one),domain(antidomain(zero))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
forward_diamond(antidomain(zero),one) = c(zero),
inference(resolve,[$cnf( $equal(domain(antidomain(zero)),c(zero)) )],[refute_0_195,refute_0_246]) ).
cnf(refute_0_248,plain,
( forward_diamond(antidomain(zero),one) != c(zero)
| forward_diamond(antidomain(zero),one) != domain(domain_difference(one,zero))
| c(zero) = domain(domain_difference(one,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(antidomain(zero),one),domain(domain_difference(one,zero))) ),[0],$fot(c(zero))]]) ).
cnf(refute_0_249,plain,
( forward_diamond(antidomain(zero),one) != domain(domain_difference(one,zero))
| c(zero) = domain(domain_difference(one,zero)) ),
inference(resolve,[$cnf( $equal(forward_diamond(antidomain(zero),one),c(zero)) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
( antidomain(zero) != one
| domain(one) != antidomain(zero)
| domain(one) = one ),
introduced(tautology,[equality,[$cnf( $equal(domain(one),antidomain(zero)) ),[1],$fot(one)]]) ).
cnf(refute_0_251,plain,
( domain(one) != antidomain(zero)
| domain(one) = one ),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_229,refute_0_250]) ).
cnf(refute_0_252,plain,
domain(one) = one,
inference(resolve,[$cnf( $equal(domain(one),antidomain(zero)) )],[refute_0_179,refute_0_251]) ).
cnf(refute_0_253,plain,
multiplication(one,antidomain(X_24)) = antidomain(X_24),
inference(subst,[],[refute_0_83:[bind(A,$fot(antidomain(X_24)))]]) ).
cnf(refute_0_254,plain,
multiplication(antidomain(zero),antidomain(X_24)) = multiplication(antidomain(zero),antidomain(X_24)),
introduced(tautology,[refl,[$fot(multiplication(antidomain(zero),antidomain(X_24)))]]) ).
cnf(refute_0_255,plain,
( antidomain(zero) != one
| multiplication(antidomain(zero),antidomain(X_24)) != multiplication(antidomain(zero),antidomain(X_24))
| multiplication(antidomain(zero),antidomain(X_24)) = multiplication(one,antidomain(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(zero),antidomain(X_24)),multiplication(antidomain(zero),antidomain(X_24))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_256,plain,
( antidomain(zero) != one
| multiplication(antidomain(zero),antidomain(X_24)) = multiplication(one,antidomain(X_24)) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),antidomain(X_24)),multiplication(antidomain(zero),antidomain(X_24))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
multiplication(antidomain(zero),antidomain(X_24)) = multiplication(one,antidomain(X_24)),
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_229,refute_0_256]) ).
cnf(refute_0_258,plain,
( multiplication(antidomain(zero),antidomain(X_24)) != multiplication(one,antidomain(X_24))
| multiplication(one,antidomain(X_24)) != antidomain(X_24)
| multiplication(antidomain(zero),antidomain(X_24)) = antidomain(X_24) ),
inference(subst,[],[refute_0_171:[bind(X,$fot(multiplication(antidomain(zero),antidomain(X_24)))),bind(Y,$fot(multiplication(one,antidomain(X_24)))),bind(Z,$fot(antidomain(X_24)))]]) ).
cnf(refute_0_259,plain,
( multiplication(one,antidomain(X_24)) != antidomain(X_24)
| multiplication(antidomain(zero),antidomain(X_24)) = antidomain(X_24) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),antidomain(X_24)),multiplication(one,antidomain(X_24))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiplication(antidomain(zero),antidomain(X_24)) = antidomain(X_24),
inference(resolve,[$cnf( $equal(multiplication(one,antidomain(X_24)),antidomain(X_24)) )],[refute_0_253,refute_0_259]) ).
cnf(refute_0_261,plain,
( domain_difference(one,X_24) != multiplication(antidomain(zero),antidomain(X_24))
| multiplication(antidomain(zero),antidomain(X_24)) != antidomain(X_24)
| domain_difference(one,X_24) = antidomain(X_24) ),
introduced(tautology,[equality,[$cnf( ~ $equal(domain_difference(one,X_24),antidomain(X_24)) ),[0],$fot(multiplication(antidomain(zero),antidomain(X_24)))]]) ).
cnf(refute_0_262,plain,
( domain_difference(one,X_24) != multiplication(antidomain(zero),antidomain(X_24))
| domain_difference(one,X_24) = antidomain(X_24) ),
inference(resolve,[$cnf( $equal(multiplication(antidomain(zero),antidomain(X_24)),antidomain(X_24)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
domain_difference(one,X_24) = antidomain(X_24),
inference(resolve,[$cnf( $equal(domain_difference(one,X_24),multiplication(antidomain(zero),antidomain(X_24))) )],[refute_0_188,refute_0_262]) ).
cnf(refute_0_264,plain,
domain_difference(one,zero) = antidomain(zero),
inference(subst,[],[refute_0_263:[bind(X_24,$fot(zero))]]) ).
cnf(refute_0_265,plain,
( antidomain(zero) != one
| domain_difference(one,zero) != antidomain(zero)
| domain_difference(one,zero) = one ),
inference(subst,[],[refute_0_171:[bind(X,$fot(domain_difference(one,zero))),bind(Y,$fot(antidomain(zero))),bind(Z,$fot(one))]]) ).
cnf(refute_0_266,plain,
( antidomain(zero) != one
| domain_difference(one,zero) = one ),
inference(resolve,[$cnf( $equal(domain_difference(one,zero),antidomain(zero)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
domain_difference(one,zero) = one,
inference(resolve,[$cnf( $equal(antidomain(zero),one) )],[refute_0_229,refute_0_266]) ).
cnf(refute_0_268,plain,
domain(domain_difference(one,zero)) = domain(domain_difference(one,zero)),
introduced(tautology,[refl,[$fot(domain(domain_difference(one,zero)))]]) ).
cnf(refute_0_269,plain,
( domain(domain_difference(one,zero)) != domain(domain_difference(one,zero))
| domain_difference(one,zero) != one
| domain(domain_difference(one,zero)) = domain(one) ),
introduced(tautology,[equality,[$cnf( $equal(domain(domain_difference(one,zero)),domain(domain_difference(one,zero))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_270,plain,
( domain_difference(one,zero) != one
| domain(domain_difference(one,zero)) = domain(one) ),
inference(resolve,[$cnf( $equal(domain(domain_difference(one,zero)),domain(domain_difference(one,zero))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
domain(domain_difference(one,zero)) = domain(one),
inference(resolve,[$cnf( $equal(domain_difference(one,zero),one) )],[refute_0_267,refute_0_270]) ).
cnf(refute_0_272,plain,
( domain(domain_difference(one,zero)) != domain(one)
| domain(one) != one
| domain(domain_difference(one,zero)) = one ),
inference(subst,[],[refute_0_171:[bind(X,$fot(domain(domain_difference(one,zero)))),bind(Y,$fot(domain(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_273,plain,
( domain(one) != one
| domain(domain_difference(one,zero)) = one ),
inference(resolve,[$cnf( $equal(domain(domain_difference(one,zero)),domain(one)) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
domain(domain_difference(one,zero)) = one,
inference(resolve,[$cnf( $equal(domain(one),one) )],[refute_0_252,refute_0_273]) ).
cnf(refute_0_275,plain,
( c(zero) != domain(domain_difference(one,zero))
| domain(domain_difference(one,zero)) != one
| c(zero) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(c(zero),one) ),[0],$fot(domain(domain_difference(one,zero)))]]) ).
cnf(refute_0_276,plain,
( c(zero) != domain(domain_difference(one,zero))
| c(zero) = one ),
inference(resolve,[$cnf( $equal(domain(domain_difference(one,zero)),one) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
( forward_diamond(antidomain(zero),one) != domain(domain_difference(one,zero))
| c(zero) = one ),
inference(resolve,[$cnf( $equal(c(zero),domain(domain_difference(one,zero))) )],[refute_0_249,refute_0_276]) ).
cnf(refute_0_278,plain,
c(zero) = one,
inference(resolve,[$cnf( $equal(forward_diamond(antidomain(zero),one),domain(domain_difference(one,zero))) )],[refute_0_194,refute_0_277]) ).
cnf(refute_0_279,plain,
multiplication(antidomain(c(one)),c(one)) = zero,
inference(subst,[],[refute_0_57:[bind(X0,$fot(c(one)))]]) ).
cnf(refute_0_280,plain,
( antidomain(c(one)) != c(zero)
| multiplication(antidomain(c(one)),c(one)) != zero
| multiplication(c(zero),c(one)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(antidomain(c(one)),c(one)),zero) ),[0,0],$fot(c(zero))]]) ).
cnf(refute_0_281,plain,
( multiplication(antidomain(c(one)),c(one)) != zero
| multiplication(c(zero),c(one)) = zero ),
inference(resolve,[$cnf( $equal(antidomain(c(one)),c(zero)) )],[refute_0_71,refute_0_280]) ).
cnf(refute_0_282,plain,
multiplication(c(zero),c(one)) = zero,
inference(resolve,[$cnf( $equal(multiplication(antidomain(c(one)),c(one)),zero) )],[refute_0_279,refute_0_281]) ).
cnf(refute_0_283,plain,
multiplication(one,c(one)) = c(one),
inference(subst,[],[refute_0_83:[bind(A,$fot(c(one)))]]) ).
cnf(refute_0_284,plain,
multiplication(c(zero),c(one)) = multiplication(c(zero),c(one)),
introduced(tautology,[refl,[$fot(multiplication(c(zero),c(one)))]]) ).
cnf(refute_0_285,plain,
( c(zero) != one
| multiplication(c(zero),c(one)) != multiplication(c(zero),c(one))
| multiplication(c(zero),c(one)) = multiplication(one,c(one)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(zero),c(one)),multiplication(c(zero),c(one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_286,plain,
( c(zero) != one
| multiplication(c(zero),c(one)) = multiplication(one,c(one)) ),
inference(resolve,[$cnf( $equal(multiplication(c(zero),c(one)),multiplication(c(zero),c(one))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
multiplication(c(zero),c(one)) = multiplication(one,c(one)),
inference(resolve,[$cnf( $equal(c(zero),one) )],[refute_0_278,refute_0_286]) ).
cnf(refute_0_288,plain,
( multiplication(c(zero),c(one)) != multiplication(one,c(one))
| multiplication(one,c(one)) != c(one)
| multiplication(c(zero),c(one)) = c(one) ),
inference(subst,[],[refute_0_171:[bind(X,$fot(multiplication(c(zero),c(one)))),bind(Y,$fot(multiplication(one,c(one)))),bind(Z,$fot(c(one)))]]) ).
cnf(refute_0_289,plain,
( multiplication(one,c(one)) != c(one)
| multiplication(c(zero),c(one)) = c(one) ),
inference(resolve,[$cnf( $equal(multiplication(c(zero),c(one)),multiplication(one,c(one))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
multiplication(c(zero),c(one)) = c(one),
inference(resolve,[$cnf( $equal(multiplication(one,c(one)),c(one)) )],[refute_0_283,refute_0_289]) ).
cnf(refute_0_291,plain,
( multiplication(c(zero),c(one)) != c(one)
| multiplication(c(zero),c(one)) != zero
| c(one) = zero ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(c(zero),c(one)),zero) ),[0],$fot(c(one))]]) ).
cnf(refute_0_292,plain,
( multiplication(c(zero),c(one)) != zero
| c(one) = zero ),
inference(resolve,[$cnf( $equal(multiplication(c(zero),c(one)),c(one)) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
c(one) = zero,
inference(resolve,[$cnf( $equal(multiplication(c(zero),c(one)),zero) )],[refute_0_282,refute_0_292]) ).
cnf(refute_0_294,plain,
c(c(zero)) = c(c(zero)),
introduced(tautology,[refl,[$fot(c(c(zero)))]]) ).
cnf(refute_0_295,plain,
( c(c(zero)) != c(c(zero))
| c(zero) != one
| c(c(zero)) = c(one) ),
introduced(tautology,[equality,[$cnf( $equal(c(c(zero)),c(c(zero))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_296,plain,
( c(zero) != one
| c(c(zero)) = c(one) ),
inference(resolve,[$cnf( $equal(c(c(zero)),c(c(zero))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
c(c(zero)) = c(one),
inference(resolve,[$cnf( $equal(c(zero),one) )],[refute_0_278,refute_0_296]) ).
cnf(refute_0_298,plain,
( c(c(zero)) != c(one)
| c(one) != zero
| c(c(zero)) = zero ),
inference(subst,[],[refute_0_171:[bind(X,$fot(c(c(zero)))),bind(Y,$fot(c(one))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_299,plain,
( c(one) != zero
| c(c(zero)) = zero ),
inference(resolve,[$cnf( $equal(c(c(zero)),c(one)) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
c(c(zero)) = zero,
inference(resolve,[$cnf( $equal(c(one),zero) )],[refute_0_293,refute_0_299]) ).
cnf(refute_0_301,plain,
c(c(c(zero))) = c(c(c(zero))),
introduced(tautology,[refl,[$fot(c(c(c(zero))))]]) ).
cnf(refute_0_302,plain,
( c(c(c(zero))) != c(c(c(zero)))
| c(c(zero)) != zero
| c(c(c(zero))) = c(zero) ),
introduced(tautology,[equality,[$cnf( $equal(c(c(c(zero))),c(c(c(zero)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_303,plain,
( c(c(zero)) != zero
| c(c(c(zero))) = c(zero) ),
inference(resolve,[$cnf( $equal(c(c(c(zero))),c(c(c(zero)))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
c(c(c(zero))) = c(zero),
inference(resolve,[$cnf( $equal(c(c(zero)),zero) )],[refute_0_300,refute_0_303]) ).
cnf(refute_0_305,plain,
( c(c(c(zero))) != c(zero)
| c(zero) != one
| c(c(c(zero))) = one ),
inference(subst,[],[refute_0_171:[bind(X,$fot(c(c(c(zero))))),bind(Y,$fot(c(zero))),bind(Z,$fot(one))]]) ).
cnf(refute_0_306,plain,
( c(zero) != one
| c(c(c(zero))) = one ),
inference(resolve,[$cnf( $equal(c(c(c(zero))),c(zero)) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
c(c(c(zero))) = one,
inference(resolve,[$cnf( $equal(c(zero),one) )],[refute_0_278,refute_0_306]) ).
cnf(refute_0_308,plain,
( c(c(c(zero))) != forward_box(one,one)
| c(c(c(zero))) != one
| one = forward_box(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(c(c(c(zero))),forward_box(one,one)) ),[0],$fot(one)]]) ).
cnf(refute_0_309,plain,
( c(c(c(zero))) != forward_box(one,one)
| one = forward_box(one,one) ),
inference(resolve,[$cnf( $equal(c(c(c(zero))),one) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
one = forward_box(one,one),
inference(resolve,[$cnf( $equal(c(c(c(zero))),forward_box(one,one)) )],[refute_0_109,refute_0_309]) ).
cnf(refute_0_311,plain,
( one != forward_box(one,one)
| forward_box(one,one) = one ),
inference(subst,[],[refute_0_23:[bind(X,$fot(one)),bind(Y,$fot(forward_box(one,one)))]]) ).
cnf(refute_0_312,plain,
forward_box(one,one) = one,
inference(resolve,[$cnf( $equal(one,forward_box(one,one)) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
codomain(forward_box(one,one)) = codomain(forward_box(one,one)),
introduced(tautology,[refl,[$fot(codomain(forward_box(one,one)))]]) ).
cnf(refute_0_314,plain,
( codomain(forward_box(one,one)) != codomain(forward_box(one,one))
| forward_box(one,one) != one
| codomain(forward_box(one,one)) = codomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(forward_box(one,one)),codomain(forward_box(one,one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_315,plain,
( forward_box(one,one) != one
| codomain(forward_box(one,one)) = codomain(one) ),
inference(resolve,[$cnf( $equal(codomain(forward_box(one,one)),codomain(forward_box(one,one))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
codomain(forward_box(one,one)) = codomain(one),
inference(resolve,[$cnf( $equal(forward_box(one,one),one) )],[refute_0_312,refute_0_315]) ).
cnf(refute_0_317,plain,
( codomain(forward_box(one,one)) != codomain(one)
| codomain(one) != one
| codomain(forward_box(one,one)) = one ),
inference(subst,[],[refute_0_171:[bind(X,$fot(codomain(forward_box(one,one)))),bind(Y,$fot(codomain(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_318,plain,
( codomain(one) != one
| codomain(forward_box(one,one)) = one ),
inference(resolve,[$cnf( $equal(codomain(forward_box(one,one)),codomain(one)) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
codomain(forward_box(one,one)) = one,
inference(resolve,[$cnf( $equal(codomain(one),one) )],[refute_0_174,refute_0_318]) ).
cnf(refute_0_320,plain,
codomain(codomain(forward_box(one,one))) = codomain(codomain(forward_box(one,one))),
introduced(tautology,[refl,[$fot(codomain(codomain(forward_box(one,one))))]]) ).
cnf(refute_0_321,plain,
( codomain(codomain(forward_box(one,one))) != codomain(codomain(forward_box(one,one)))
| codomain(forward_box(one,one)) != one
| codomain(codomain(forward_box(one,one))) = codomain(one) ),
introduced(tautology,[equality,[$cnf( $equal(codomain(codomain(forward_box(one,one))),codomain(codomain(forward_box(one,one)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_322,plain,
( codomain(forward_box(one,one)) != one
| codomain(codomain(forward_box(one,one))) = codomain(one) ),
inference(resolve,[$cnf( $equal(codomain(codomain(forward_box(one,one))),codomain(codomain(forward_box(one,one)))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
codomain(codomain(forward_box(one,one))) = codomain(one),
inference(resolve,[$cnf( $equal(codomain(forward_box(one,one)),one) )],[refute_0_319,refute_0_322]) ).
cnf(refute_0_324,plain,
( codomain(codomain(forward_box(one,one))) != codomain(one)
| codomain(one) != one
| codomain(codomain(forward_box(one,one))) = one ),
inference(subst,[],[refute_0_171:[bind(X,$fot(codomain(codomain(forward_box(one,one))))),bind(Y,$fot(codomain(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_325,plain,
( codomain(one) != one
| codomain(codomain(forward_box(one,one))) = one ),
inference(resolve,[$cnf( $equal(codomain(codomain(forward_box(one,one))),codomain(one)) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
codomain(codomain(forward_box(one,one))) = one,
inference(resolve,[$cnf( $equal(codomain(one),one) )],[refute_0_174,refute_0_325]) ).
cnf(refute_0_327,plain,
forward_box(X0,codomain(codomain(forward_box(one,one)))) = forward_box(X0,codomain(codomain(forward_box(one,one)))),
introduced(tautology,[refl,[$fot(forward_box(X0,codomain(codomain(forward_box(one,one)))))]]) ).
cnf(refute_0_328,plain,
( codomain(codomain(forward_box(one,one))) != one
| forward_box(X0,codomain(codomain(forward_box(one,one)))) != forward_box(X0,codomain(codomain(forward_box(one,one))))
| forward_box(X0,codomain(codomain(forward_box(one,one)))) = forward_box(X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(X0,codomain(codomain(forward_box(one,one)))),forward_box(X0,codomain(codomain(forward_box(one,one))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_329,plain,
( codomain(codomain(forward_box(one,one))) != one
| forward_box(X0,codomain(codomain(forward_box(one,one)))) = forward_box(X0,one) ),
inference(resolve,[$cnf( $equal(forward_box(X0,codomain(codomain(forward_box(one,one)))),forward_box(X0,codomain(codomain(forward_box(one,one))))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
forward_box(X0,codomain(codomain(forward_box(one,one)))) = forward_box(X0,one),
inference(resolve,[$cnf( $equal(codomain(codomain(forward_box(one,one))),one) )],[refute_0_326,refute_0_329]) ).
cnf(refute_0_331,plain,
( forward_box(X0,codomain(codomain(forward_box(one,one)))) != c(forward_diamond(X0,backward_box(one,c(c(zero)))))
| forward_box(X0,codomain(codomain(forward_box(one,one)))) != forward_box(X0,one)
| forward_box(X0,one) = c(forward_diamond(X0,backward_box(one,c(c(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(X0,codomain(codomain(forward_box(one,one)))),c(forward_diamond(X0,backward_box(one,c(c(zero)))))) ),[0],$fot(forward_box(X0,one))]]) ).
cnf(refute_0_332,plain,
( forward_box(X0,codomain(codomain(forward_box(one,one)))) != c(forward_diamond(X0,backward_box(one,c(c(zero)))))
| forward_box(X0,one) = c(forward_diamond(X0,backward_box(one,c(c(zero))))) ),
inference(resolve,[$cnf( $equal(forward_box(X0,codomain(codomain(forward_box(one,one)))),forward_box(X0,one)) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
backward_box(one,c(c(zero))) = backward_box(one,c(c(zero))),
introduced(tautology,[refl,[$fot(backward_box(one,c(c(zero))))]]) ).
cnf(refute_0_334,plain,
( backward_box(one,c(c(zero))) != backward_box(one,c(c(zero)))
| c(c(zero)) != zero
| backward_box(one,c(c(zero))) = backward_box(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(backward_box(one,c(c(zero))),backward_box(one,c(c(zero)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_335,plain,
( c(c(zero)) != zero
| backward_box(one,c(c(zero))) = backward_box(one,zero) ),
inference(resolve,[$cnf( $equal(backward_box(one,c(c(zero))),backward_box(one,c(c(zero)))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
backward_box(one,c(c(zero))) = backward_box(one,zero),
inference(resolve,[$cnf( $equal(c(c(zero)),zero) )],[refute_0_300,refute_0_335]) ).
cnf(refute_0_337,plain,
( backward_box(one,c(c(zero))) != backward_box(one,zero)
| backward_box(one,c(c(zero))) != c(codomain(codomain(forward_box(one,one))))
| backward_box(one,zero) = c(codomain(codomain(forward_box(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(backward_box(one,c(c(zero))),c(codomain(codomain(forward_box(one,one))))) ),[0],$fot(backward_box(one,zero))]]) ).
cnf(refute_0_338,plain,
( backward_box(one,c(c(zero))) != c(codomain(codomain(forward_box(one,one))))
| backward_box(one,zero) = c(codomain(codomain(forward_box(one,one)))) ),
inference(resolve,[$cnf( $equal(backward_box(one,c(c(zero))),backward_box(one,zero)) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
c(codomain(codomain(forward_box(one,one)))) = c(codomain(codomain(forward_box(one,one)))),
introduced(tautology,[refl,[$fot(c(codomain(codomain(forward_box(one,one)))))]]) ).
cnf(refute_0_340,plain,
( c(codomain(codomain(forward_box(one,one)))) != c(codomain(codomain(forward_box(one,one))))
| codomain(codomain(forward_box(one,one))) != one
| c(codomain(codomain(forward_box(one,one)))) = c(one) ),
introduced(tautology,[equality,[$cnf( $equal(c(codomain(codomain(forward_box(one,one)))),c(codomain(codomain(forward_box(one,one))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_341,plain,
( codomain(codomain(forward_box(one,one))) != one
| c(codomain(codomain(forward_box(one,one)))) = c(one) ),
inference(resolve,[$cnf( $equal(c(codomain(codomain(forward_box(one,one)))),c(codomain(codomain(forward_box(one,one))))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
c(codomain(codomain(forward_box(one,one)))) = c(one),
inference(resolve,[$cnf( $equal(codomain(codomain(forward_box(one,one))),one) )],[refute_0_326,refute_0_341]) ).
cnf(refute_0_343,plain,
( c(codomain(codomain(forward_box(one,one)))) != c(one)
| c(one) != zero
| c(codomain(codomain(forward_box(one,one)))) = zero ),
inference(subst,[],[refute_0_171:[bind(X,$fot(c(codomain(codomain(forward_box(one,one)))))),bind(Y,$fot(c(one))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_344,plain,
( c(one) != zero
| c(codomain(codomain(forward_box(one,one)))) = zero ),
inference(resolve,[$cnf( $equal(c(codomain(codomain(forward_box(one,one)))),c(one)) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
c(codomain(codomain(forward_box(one,one)))) = zero,
inference(resolve,[$cnf( $equal(c(one),zero) )],[refute_0_293,refute_0_344]) ).
cnf(refute_0_346,plain,
( backward_box(one,zero) != c(codomain(codomain(forward_box(one,one))))
| c(codomain(codomain(forward_box(one,one)))) != zero
| backward_box(one,zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(backward_box(one,zero),zero) ),[0],$fot(c(codomain(codomain(forward_box(one,one)))))]]) ).
cnf(refute_0_347,plain,
( backward_box(one,zero) != c(codomain(codomain(forward_box(one,one))))
| backward_box(one,zero) = zero ),
inference(resolve,[$cnf( $equal(c(codomain(codomain(forward_box(one,one)))),zero) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
( backward_box(one,c(c(zero))) != c(codomain(codomain(forward_box(one,one))))
| backward_box(one,zero) = zero ),
inference(resolve,[$cnf( $equal(backward_box(one,zero),c(codomain(codomain(forward_box(one,one))))) )],[refute_0_338,refute_0_347]) ).
cnf(refute_0_349,plain,
backward_box(one,zero) = zero,
inference(resolve,[$cnf( $equal(backward_box(one,c(c(zero))),c(codomain(codomain(forward_box(one,one))))) )],[refute_0_112,refute_0_348]) ).
cnf(refute_0_350,plain,
( backward_box(one,c(c(zero))) != backward_box(one,zero)
| backward_box(one,zero) != zero
| backward_box(one,c(c(zero))) = zero ),
inference(subst,[],[refute_0_171:[bind(X,$fot(backward_box(one,c(c(zero))))),bind(Y,$fot(backward_box(one,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_351,plain,
( backward_box(one,zero) != zero
| backward_box(one,c(c(zero))) = zero ),
inference(resolve,[$cnf( $equal(backward_box(one,c(c(zero))),backward_box(one,zero)) )],[refute_0_336,refute_0_350]) ).
cnf(refute_0_352,plain,
backward_box(one,c(c(zero))) = zero,
inference(resolve,[$cnf( $equal(backward_box(one,zero),zero) )],[refute_0_349,refute_0_351]) ).
cnf(refute_0_353,plain,
forward_diamond(X0,backward_box(one,c(c(zero)))) = forward_diamond(X0,backward_box(one,c(c(zero)))),
introduced(tautology,[refl,[$fot(forward_diamond(X0,backward_box(one,c(c(zero)))))]]) ).
cnf(refute_0_354,plain,
( backward_box(one,c(c(zero))) != zero
| forward_diamond(X0,backward_box(one,c(c(zero)))) != forward_diamond(X0,backward_box(one,c(c(zero))))
| forward_diamond(X0,backward_box(one,c(c(zero)))) = forward_diamond(X0,zero) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X0,backward_box(one,c(c(zero)))),forward_diamond(X0,backward_box(one,c(c(zero))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_355,plain,
( backward_box(one,c(c(zero))) != zero
| forward_diamond(X0,backward_box(one,c(c(zero)))) = forward_diamond(X0,zero) ),
inference(resolve,[$cnf( $equal(forward_diamond(X0,backward_box(one,c(c(zero)))),forward_diamond(X0,backward_box(one,c(c(zero))))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
forward_diamond(X0,backward_box(one,c(c(zero)))) = forward_diamond(X0,zero),
inference(resolve,[$cnf( $equal(backward_box(one,c(c(zero))),zero) )],[refute_0_352,refute_0_355]) ).
cnf(refute_0_357,plain,
c(forward_diamond(X0,backward_box(one,c(c(zero))))) = c(forward_diamond(X0,backward_box(one,c(c(zero))))),
introduced(tautology,[refl,[$fot(c(forward_diamond(X0,backward_box(one,c(c(zero))))))]]) ).
cnf(refute_0_358,plain,
( c(forward_diamond(X0,backward_box(one,c(c(zero))))) != c(forward_diamond(X0,backward_box(one,c(c(zero)))))
| forward_diamond(X0,backward_box(one,c(c(zero)))) != forward_diamond(X0,zero)
| c(forward_diamond(X0,backward_box(one,c(c(zero))))) = c(forward_diamond(X0,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(c(forward_diamond(X0,backward_box(one,c(c(zero))))),c(forward_diamond(X0,backward_box(one,c(c(zero)))))) ),[1,0],$fot(forward_diamond(X0,zero))]]) ).
cnf(refute_0_359,plain,
( forward_diamond(X0,backward_box(one,c(c(zero)))) != forward_diamond(X0,zero)
| c(forward_diamond(X0,backward_box(one,c(c(zero))))) = c(forward_diamond(X0,zero)) ),
inference(resolve,[$cnf( $equal(c(forward_diamond(X0,backward_box(one,c(c(zero))))),c(forward_diamond(X0,backward_box(one,c(c(zero)))))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
c(forward_diamond(X0,backward_box(one,c(c(zero))))) = c(forward_diamond(X0,zero)),
inference(resolve,[$cnf( $equal(forward_diamond(X0,backward_box(one,c(c(zero)))),forward_diamond(X0,zero)) )],[refute_0_356,refute_0_359]) ).
cnf(refute_0_361,plain,
( c(forward_diamond(X0,backward_box(one,c(c(zero))))) != c(forward_diamond(X0,zero))
| forward_box(X0,one) != c(forward_diamond(X0,backward_box(one,c(c(zero)))))
| forward_box(X0,one) = c(forward_diamond(X0,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(X0,one),c(forward_diamond(X0,backward_box(one,c(c(zero)))))) ),[1],$fot(c(forward_diamond(X0,zero)))]]) ).
cnf(refute_0_362,plain,
( forward_box(X0,one) != c(forward_diamond(X0,backward_box(one,c(c(zero)))))
| forward_box(X0,one) = c(forward_diamond(X0,zero)) ),
inference(resolve,[$cnf( $equal(c(forward_diamond(X0,backward_box(one,c(c(zero))))),c(forward_diamond(X0,zero))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
( forward_box(X0,codomain(codomain(forward_box(one,one)))) != c(forward_diamond(X0,backward_box(one,c(c(zero)))))
| forward_box(X0,one) = c(forward_diamond(X0,zero)) ),
inference(resolve,[$cnf( $equal(forward_box(X0,one),c(forward_diamond(X0,backward_box(one,c(c(zero)))))) )],[refute_0_332,refute_0_362]) ).
cnf(refute_0_364,plain,
forward_box(X0,one) = c(forward_diamond(X0,zero)),
inference(resolve,[$cnf( $equal(forward_box(X0,codomain(codomain(forward_box(one,one)))),c(forward_diamond(X0,backward_box(one,c(c(zero)))))) )],[refute_0_117,refute_0_363]) ).
cnf(refute_0_365,plain,
forward_diamond(X0,zero) = domain(multiplication(X0,domain(zero))),
inference(subst,[],[refute_0_81:[bind(X1,$fot(zero))]]) ).
cnf(refute_0_366,plain,
( c(one) != zero
| domain(zero) != c(one)
| domain(zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(domain(zero),c(one)) ),[1],$fot(zero)]]) ).
cnf(refute_0_367,plain,
( domain(zero) != c(one)
| domain(zero) = zero ),
inference(resolve,[$cnf( $equal(c(one),zero) )],[refute_0_293,refute_0_366]) ).
cnf(refute_0_368,plain,
domain(zero) = zero,
inference(resolve,[$cnf( $equal(domain(zero),c(one)) )],[refute_0_66,refute_0_367]) ).
cnf(refute_0_369,plain,
( domain(zero) != zero
| forward_diamond(X0,zero) != domain(multiplication(X0,domain(zero)))
| forward_diamond(X0,zero) = domain(multiplication(X0,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X0,zero),domain(multiplication(X0,domain(zero)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_370,plain,
( forward_diamond(X0,zero) != domain(multiplication(X0,domain(zero)))
| forward_diamond(X0,zero) = domain(multiplication(X0,zero)) ),
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
forward_diamond(X0,zero) = domain(multiplication(X0,zero)),
inference(resolve,[$cnf( $equal(forward_diamond(X0,zero),domain(multiplication(X0,domain(zero)))) )],[refute_0_365,refute_0_370]) ).
cnf(refute_0_372,plain,
multiplication(A,zero) = zero,
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_373,plain,
multiplication(X0,zero) = zero,
inference(subst,[],[refute_0_372:[bind(A,$fot(X0))]]) ).
cnf(refute_0_374,plain,
domain(multiplication(X0,zero)) = domain(multiplication(X0,zero)),
introduced(tautology,[refl,[$fot(domain(multiplication(X0,zero)))]]) ).
cnf(refute_0_375,plain,
( domain(multiplication(X0,zero)) != domain(multiplication(X0,zero))
| multiplication(X0,zero) != zero
| domain(multiplication(X0,zero)) = domain(zero) ),
introduced(tautology,[equality,[$cnf( $equal(domain(multiplication(X0,zero)),domain(multiplication(X0,zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_376,plain,
( multiplication(X0,zero) != zero
| domain(multiplication(X0,zero)) = domain(zero) ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,zero)),domain(multiplication(X0,zero))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
domain(multiplication(X0,zero)) = domain(zero),
inference(resolve,[$cnf( $equal(multiplication(X0,zero),zero) )],[refute_0_373,refute_0_376]) ).
cnf(refute_0_378,plain,
( domain(multiplication(X0,zero)) != domain(zero)
| domain(zero) != zero
| domain(multiplication(X0,zero)) = zero ),
inference(subst,[],[refute_0_171:[bind(X,$fot(domain(multiplication(X0,zero)))),bind(Y,$fot(domain(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_379,plain,
( domain(zero) != zero
| domain(multiplication(X0,zero)) = zero ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,zero)),domain(zero)) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
domain(multiplication(X0,zero)) = zero,
inference(resolve,[$cnf( $equal(domain(zero),zero) )],[refute_0_368,refute_0_379]) ).
cnf(refute_0_381,plain,
( domain(multiplication(X0,zero)) != zero
| forward_diamond(X0,zero) != domain(multiplication(X0,zero))
| forward_diamond(X0,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(forward_diamond(X0,zero),domain(multiplication(X0,zero))) ),[1],$fot(zero)]]) ).
cnf(refute_0_382,plain,
( forward_diamond(X0,zero) != domain(multiplication(X0,zero))
| forward_diamond(X0,zero) = zero ),
inference(resolve,[$cnf( $equal(domain(multiplication(X0,zero)),zero) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
forward_diamond(X0,zero) = zero,
inference(resolve,[$cnf( $equal(forward_diamond(X0,zero),domain(multiplication(X0,zero))) )],[refute_0_371,refute_0_382]) ).
cnf(refute_0_384,plain,
c(forward_diamond(X0,zero)) = c(forward_diamond(X0,zero)),
introduced(tautology,[refl,[$fot(c(forward_diamond(X0,zero)))]]) ).
cnf(refute_0_385,plain,
( c(forward_diamond(X0,zero)) != c(forward_diamond(X0,zero))
| forward_diamond(X0,zero) != zero
| c(forward_diamond(X0,zero)) = c(zero) ),
introduced(tautology,[equality,[$cnf( $equal(c(forward_diamond(X0,zero)),c(forward_diamond(X0,zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_386,plain,
( forward_diamond(X0,zero) != zero
| c(forward_diamond(X0,zero)) = c(zero) ),
inference(resolve,[$cnf( $equal(c(forward_diamond(X0,zero)),c(forward_diamond(X0,zero))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
c(forward_diamond(X0,zero)) = c(zero),
inference(resolve,[$cnf( $equal(forward_diamond(X0,zero),zero) )],[refute_0_383,refute_0_386]) ).
cnf(refute_0_388,plain,
( c(forward_diamond(X0,zero)) != c(zero)
| c(zero) != one
| c(forward_diamond(X0,zero)) = one ),
inference(subst,[],[refute_0_171:[bind(X,$fot(c(forward_diamond(X0,zero)))),bind(Y,$fot(c(zero))),bind(Z,$fot(one))]]) ).
cnf(refute_0_389,plain,
( c(zero) != one
| c(forward_diamond(X0,zero)) = one ),
inference(resolve,[$cnf( $equal(c(forward_diamond(X0,zero)),c(zero)) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
c(forward_diamond(X0,zero)) = one,
inference(resolve,[$cnf( $equal(c(zero),one) )],[refute_0_278,refute_0_389]) ).
cnf(refute_0_391,plain,
( c(forward_diamond(X0,zero)) != one
| forward_box(X0,one) != c(forward_diamond(X0,zero))
| forward_box(X0,one) = one ),
introduced(tautology,[equality,[$cnf( $equal(forward_box(X0,one),c(forward_diamond(X0,zero))) ),[1],$fot(one)]]) ).
cnf(refute_0_392,plain,
( forward_box(X0,one) != c(forward_diamond(X0,zero))
| forward_box(X0,one) = one ),
inference(resolve,[$cnf( $equal(c(forward_diamond(X0,zero)),one) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
forward_box(X0,one) = one,
inference(resolve,[$cnf( $equal(forward_box(X0,one),c(forward_diamond(X0,zero))) )],[refute_0_364,refute_0_392]) ).
cnf(refute_0_394,plain,
forward_box(skolemFOFtoCNF_X0,one) = one,
inference(subst,[],[refute_0_393:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_395,plain,
( forward_box(skolemFOFtoCNF_X0,one) != one
| one != one
| forward_box(skolemFOFtoCNF_X0,one) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(forward_box(skolemFOFtoCNF_X0,one),one) ),[0],$fot(one)]]) ).
cnf(refute_0_396,plain,
( one != one
| forward_box(skolemFOFtoCNF_X0,one) = one ),
inference(resolve,[$cnf( $equal(forward_box(skolemFOFtoCNF_X0,one),one) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
one != one,
inference(resolve,[$cnf( $equal(forward_box(skolemFOFtoCNF_X0,one),one) )],[refute_0_396,refute_0_0]) ).
cnf(refute_0_398,plain,
one = one,
introduced(tautology,[refl,[$fot(one)]]) ).
cnf(refute_0_399,plain,
$false,
inference(resolve,[$cnf( $equal(one,one) )],[refute_0_398,refute_0_397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE114+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 12:07:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48
% 0.20/0.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.51
%------------------------------------------------------------------------------