TSTP Solution File: REL019+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL019+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 : Mon Jul 18 19:43:34 EDT 2022
% Result : Theorem 68.27s 68.63s
% Output : CNFRefutation 68.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 143
% Number of leaves : 596
% Syntax : Number of formulae : 2534 (1260 unt; 0 def)
% Number of atoms : 4381 (4380 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 3689 (1842 ~;1837 |; 7 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 2491 ( 64 sgn 81 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ).
fof(maddux4_definiton_of_meet,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) ).
fof(composition_associativity,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) ).
fof(composition_identity,axiom,
! [X0] : composition(X0,one) = X0 ).
fof(composition_distributivity,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0 ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ).
fof(converse_cancellativity,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ).
fof(def_top,axiom,
! [X0] : top = join(X0,complement(X0)) ).
fof(def_zero,axiom,
! [X0] : zero = meet(X0,complement(X0)) ).
fof(goals,conjecture,
! [X0,X1] :
( ( composition(X0,top) = X0
& composition(X1,top) = X1 )
=> composition(meet(X0,X1),top) = meet(X0,X1) ) ).
fof(subgoal_0,plain,
! [X0,X1] :
( ( composition(X0,top) = X0
& composition(X1,top) = X1 )
=> composition(meet(X0,X1),top) = meet(X0,X1) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1] :
( ( composition(X0,top) = X0
& composition(X1,top) = X1 )
=> composition(meet(X0,X1),top) = meet(X0,X1) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_1,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_0_3,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_5,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_0_7,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_9,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_0_11,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_13,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[maddux3_a_kind_of_de_Morgan]) ).
fof(normalize_0_15,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_0_17,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_19,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[composition_associativity]) ).
fof(normalize_0_21,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_0_23,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
? [X0,X1] :
( composition(meet(X0,X1),top) != meet(X0,X1)
& composition(X0,top) = X0
& composition(X1,top) = X1 ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_25,plain,
( composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
& composition(skolemFOFtoCNF_X0,top) = skolemFOFtoCNF_X0
& composition(skolemFOFtoCNF_X1,top) = skolemFOFtoCNF_X1 ),
inference(skolemize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
composition(skolemFOFtoCNF_X1,top) = skolemFOFtoCNF_X1,
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_0_28,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
composition(skolemFOFtoCNF_X0,top) = skolemFOFtoCNF_X0,
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_30,plain,
composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
inference(conjunct,[],[normalize_0_25]) ).
cnf(refute_0_0,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( join(X0,X1) != join(X1,X0)
| join(X1,X0) = join(X0,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).
cnf(refute_0_6,plain,
join(X1,X0) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_8,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) ),[0],$fot(join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_9,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_0,refute_0_9]) ).
cnf(refute_0_11,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) = complement(converse(X0)),
inference(subst,[],[refute_0_10:[bind(X0,$fot(converse(X1))),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_12,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_13,plain,
( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
| composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).
cnf(refute_0_14,plain,
composition(converse(X1),converse(X0)) = converse(composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(X0,X1)),composition(converse(X1),converse(X0))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))),complement(converse(X0))) ),[0,1,1,0],$fot(converse(composition(X0,X1)))]]) ).
cnf(refute_0_16,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))),complement(converse(X0))) )],[refute_0_11,refute_0_16]) ).
cnf(refute_0_18,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_19,plain,
converse(converse(X1)) = X1,
inference(subst,[],[refute_0_18:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_20,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),
introduced(tautology,[refl,[$fot(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_0_21,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(converse(converse(X1)),complement(converse(composition(X0,X1))))
| converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_22,plain,
( converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))),
inference(resolve,[$cnf( $equal(converse(converse(X1)),X1) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
introduced(tautology,[refl,[$fot(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_0_25,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(X1,complement(converse(composition(X0,X1))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))) ),[1,1],$fot(composition(X1,complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_0_26,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(X1,complement(converse(composition(X0,X1))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(X1,complement(converse(composition(X0,X1))))) )],[refute_0_23,refute_0_26]) ).
cnf(refute_0_28,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),complement(converse(X0))) ),[0],$fot(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_0_29,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),complement(converse(X0))) )],[refute_0_17,refute_0_29]) ).
cnf(refute_0_31,plain,
join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) = complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),
inference(subst,[],[refute_0_30:[bind(X0,$fot(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),bind(X1,$fot(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_32,plain,
join(complement(top),composition(converse(X_63),complement(composition(X_63,top)))) = complement(top),
inference(subst,[],[refute_0_10:[bind(X0,$fot(X_63)),bind(X1,$fot(top))]]) ).
cnf(refute_0_33,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_34,plain,
zero = meet(join(complement(X_29),complement(X_30)),complement(join(complement(X_29),complement(X_30)))),
inference(subst,[],[refute_0_33:[bind(X0,$fot(join(complement(X_29),complement(X_30))))]]) ).
cnf(refute_0_35,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_36,plain,
meet(X_29,X_30) = complement(join(complement(X_29),complement(X_30))),
inference(subst,[],[refute_0_35:[bind(X0,$fot(X_29)),bind(X1,$fot(X_30))]]) ).
cnf(refute_0_37,plain,
( meet(X_29,X_30) != complement(join(complement(X_29),complement(X_30)))
| complement(join(complement(X_29),complement(X_30))) = meet(X_29,X_30) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_29,X_30))),bind(Y,$fot(complement(join(complement(X_29),complement(X_30)))))]]) ).
cnf(refute_0_38,plain,
complement(join(complement(X_29),complement(X_30))) = meet(X_29,X_30),
inference(resolve,[$cnf( $equal(meet(X_29,X_30),complement(join(complement(X_29),complement(X_30)))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( complement(join(complement(X_29),complement(X_30))) != meet(X_29,X_30)
| zero != meet(join(complement(X_29),complement(X_30)),complement(join(complement(X_29),complement(X_30))))
| zero = meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_29),complement(X_30)),complement(join(complement(X_29),complement(X_30))))) ),[1,1],$fot(meet(X_29,X_30))]]) ).
cnf(refute_0_40,plain,
( zero != meet(join(complement(X_29),complement(X_30)),complement(join(complement(X_29),complement(X_30))))
| zero = meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_29),complement(X_30))),meet(X_29,X_30)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
zero = meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_29),complement(X_30)),complement(join(complement(X_29),complement(X_30))))) )],[refute_0_34,refute_0_40]) ).
cnf(refute_0_42,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_43,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_44,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
join(meet(X_29,X_30),complement(meet(X_29,X_30))) = top,
inference(subst,[],[refute_0_44:[bind(X0,$fot(meet(X_29,X_30)))]]) ).
cnf(refute_0_46,plain,
complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))) = complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))))]]) ).
cnf(refute_0_47,plain,
( complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))) != complement(join(meet(X_29,X_30),complement(meet(X_29,X_30))))
| join(meet(X_29,X_30),complement(meet(X_29,X_30))) != top
| complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))),complement(join(meet(X_29,X_30),complement(meet(X_29,X_30))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_48,plain,
( join(meet(X_29,X_30),complement(meet(X_29,X_30))) != top
| complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))),complement(join(meet(X_29,X_30),complement(meet(X_29,X_30))))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_29,X_30),complement(meet(X_29,X_30))),top) )],[refute_0_45,refute_0_48]) ).
cnf(refute_0_50,plain,
meet(join(complement(X_29),complement(X_30)),X1) = complement(join(complement(join(complement(X_29),complement(X_30))),complement(X1))),
inference(subst,[],[refute_0_35:[bind(X0,$fot(join(complement(X_29),complement(X_30))))]]) ).
cnf(refute_0_51,plain,
( complement(join(complement(X_29),complement(X_30))) != meet(X_29,X_30)
| meet(join(complement(X_29),complement(X_30)),X1) != complement(join(complement(join(complement(X_29),complement(X_30))),complement(X1)))
| meet(join(complement(X_29),complement(X_30)),X1) = complement(join(meet(X_29,X_30),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_29),complement(X_30)),X1),complement(join(complement(join(complement(X_29),complement(X_30))),complement(X1)))) ),[1,0,0],$fot(meet(X_29,X_30))]]) ).
cnf(refute_0_52,plain,
( meet(join(complement(X_29),complement(X_30)),X1) != complement(join(complement(join(complement(X_29),complement(X_30))),complement(X1)))
| meet(join(complement(X_29),complement(X_30)),X1) = complement(join(meet(X_29,X_30),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_29),complement(X_30))),meet(X_29,X_30)) )],[refute_0_38,refute_0_51]) ).
cnf(refute_0_53,plain,
meet(join(complement(X_29),complement(X_30)),X1) = complement(join(meet(X_29,X_30),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_29),complement(X_30)),X1),complement(join(complement(join(complement(X_29),complement(X_30))),complement(X1)))) )],[refute_0_50,refute_0_52]) ).
cnf(refute_0_54,plain,
meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) = complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))),
inference(subst,[],[refute_0_53:[bind(X1,$fot(meet(X_29,X_30)))]]) ).
cnf(refute_0_55,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_56,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_55]) ).
cnf(refute_0_57,plain,
( complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))) != complement(top)
| meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) != complement(join(meet(X_29,X_30),complement(meet(X_29,X_30))))
| meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) = complement(top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)))),bind(Y,$fot(complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_58,plain,
( complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))) != complement(top)
| meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)),complement(join(meet(X_29,X_30),complement(meet(X_29,X_30))))) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_29,X_30),complement(meet(X_29,X_30)))),complement(top)) )],[refute_0_49,refute_0_58]) ).
cnf(refute_0_60,plain,
( meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) != complement(top)
| zero != meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_61,plain,
( zero != meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30)),complement(top)) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_29),complement(X_30)),meet(X_29,X_30))) )],[refute_0_41,refute_0_61]) ).
cnf(refute_0_63,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_64,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
( complement(top) != zero
| join(complement(top),composition(converse(X_63),complement(composition(X_63,top)))) != complement(top)
| join(zero,composition(converse(X_63),complement(composition(X_63,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(X_63),complement(composition(X_63,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_66,plain,
( join(complement(top),composition(converse(X_63),complement(composition(X_63,top)))) != complement(top)
| join(zero,composition(converse(X_63),complement(composition(X_63,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
join(zero,composition(converse(X_63),complement(composition(X_63,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(X_63),complement(composition(X_63,top)))),complement(top)) )],[refute_0_32,refute_0_66]) ).
cnf(refute_0_68,plain,
( complement(top) != zero
| join(zero,composition(converse(X_63),complement(composition(X_63,top)))) != complement(top)
| join(zero,composition(converse(X_63),complement(composition(X_63,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_63),complement(composition(X_63,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_69,plain,
( join(zero,composition(converse(X_63),complement(composition(X_63,top)))) != complement(top)
| join(zero,composition(converse(X_63),complement(composition(X_63,top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_68]) ).
cnf(refute_0_70,plain,
join(zero,composition(converse(X_63),complement(composition(X_63,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_63),complement(composition(X_63,top)))),complement(top)) )],[refute_0_67,refute_0_69]) ).
cnf(refute_0_71,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_72,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_73,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) ),[0],$fot(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_74,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_77,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_78,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_35,refute_0_77]) ).
cnf(refute_0_79,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_80,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) ),[1,1],$fot(meet(X0,X1))]]) ).
cnf(refute_0_81,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))),bind(Y,$fot(join(complement(join(complement(X0),X1)),meet(X0,X1)))),bind(Z,$fot(join(meet(X0,X1),complement(join(complement(X0),X1)))))]]) ).
cnf(refute_0_84,plain,
( join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_76,refute_0_84]) ).
cnf(refute_0_86,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(meet(X0,X1),complement(join(complement(X0),X1)))) ),[0],$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_87,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_75,refute_0_87]) ).
cnf(refute_0_89,plain,
X_93 = join(meet(X_93,complement(complement(X_93))),complement(join(complement(X_93),complement(complement(X_93))))),
inference(subst,[],[refute_0_88:[bind(X0,$fot(X_93)),bind(X1,$fot(complement(complement(X_93))))]]) ).
cnf(refute_0_90,plain,
top = join(complement(X_93),complement(complement(X_93))),
inference(subst,[],[refute_0_42:[bind(X0,$fot(complement(X_93)))]]) ).
cnf(refute_0_91,plain,
( top != join(complement(X_93),complement(complement(X_93)))
| join(complement(X_93),complement(complement(X_93))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_93),complement(complement(X_93)))))]]) ).
cnf(refute_0_92,plain,
join(complement(X_93),complement(complement(X_93))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_93),complement(complement(X_93)))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
( X_93 != join(meet(X_93,complement(complement(X_93))),complement(join(complement(X_93),complement(complement(X_93)))))
| join(complement(X_93),complement(complement(X_93))) != top
| X_93 = join(meet(X_93,complement(complement(X_93))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,complement(complement(X_93))),complement(join(complement(X_93),complement(complement(X_93)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_94,plain,
( X_93 != join(meet(X_93,complement(complement(X_93))),complement(join(complement(X_93),complement(complement(X_93)))))
| X_93 = join(meet(X_93,complement(complement(X_93))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_93),complement(complement(X_93))),top) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
X_93 = join(meet(X_93,complement(complement(X_93))),complement(top)),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,complement(complement(X_93))),complement(join(complement(X_93),complement(complement(X_93)))))) )],[refute_0_89,refute_0_94]) ).
cnf(refute_0_96,plain,
join(complement(top),meet(X_93,complement(complement(X_93)))) = join(complement(top),meet(X_93,complement(complement(X_93)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_93,complement(complement(X_93)))))]]) ).
cnf(refute_0_97,plain,
( complement(top) != zero
| join(complement(top),meet(X_93,complement(complement(X_93)))) != join(complement(top),meet(X_93,complement(complement(X_93))))
| join(complement(top),meet(X_93,complement(complement(X_93)))) = join(zero,meet(X_93,complement(complement(X_93)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_93,complement(complement(X_93)))),join(complement(top),meet(X_93,complement(complement(X_93))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_98,plain,
( complement(top) != zero
| join(complement(top),meet(X_93,complement(complement(X_93)))) = join(zero,meet(X_93,complement(complement(X_93)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_93,complement(complement(X_93)))),join(complement(top),meet(X_93,complement(complement(X_93))))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
join(complement(top),meet(X_93,complement(complement(X_93)))) = join(zero,meet(X_93,complement(complement(X_93)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_98]) ).
cnf(refute_0_100,plain,
join(meet(X_93,complement(complement(X_93))),complement(top)) = join(complement(top),meet(X_93,complement(complement(X_93)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_93,complement(complement(X_93)))))]]) ).
cnf(refute_0_101,plain,
( join(complement(top),meet(X_93,complement(complement(X_93)))) != join(zero,meet(X_93,complement(complement(X_93))))
| join(meet(X_93,complement(complement(X_93))),complement(top)) != join(complement(top),meet(X_93,complement(complement(X_93))))
| join(meet(X_93,complement(complement(X_93))),complement(top)) = join(zero,meet(X_93,complement(complement(X_93)))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(meet(X_93,complement(complement(X_93))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_93,complement(complement(X_93)))))),bind(Z,$fot(join(zero,meet(X_93,complement(complement(X_93))))))]]) ).
cnf(refute_0_102,plain,
( join(complement(top),meet(X_93,complement(complement(X_93)))) != join(zero,meet(X_93,complement(complement(X_93))))
| join(meet(X_93,complement(complement(X_93))),complement(top)) = join(zero,meet(X_93,complement(complement(X_93)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,complement(complement(X_93))),complement(top)),join(complement(top),meet(X_93,complement(complement(X_93))))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
join(meet(X_93,complement(complement(X_93))),complement(top)) = join(zero,meet(X_93,complement(complement(X_93)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_93,complement(complement(X_93)))),join(zero,meet(X_93,complement(complement(X_93))))) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
( X_93 != join(meet(X_93,complement(complement(X_93))),complement(top))
| join(meet(X_93,complement(complement(X_93))),complement(top)) != join(zero,meet(X_93,complement(complement(X_93))))
| X_93 = join(zero,meet(X_93,complement(complement(X_93)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(zero,meet(X_93,complement(complement(X_93))))) ),[0],$fot(join(meet(X_93,complement(complement(X_93))),complement(top)))]]) ).
cnf(refute_0_105,plain,
( X_93 != join(meet(X_93,complement(complement(X_93))),complement(top))
| X_93 = join(zero,meet(X_93,complement(complement(X_93)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,complement(complement(X_93))),complement(top)),join(zero,meet(X_93,complement(complement(X_93))))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
X_93 = join(zero,meet(X_93,complement(complement(X_93)))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,complement(complement(X_93))),complement(top))) )],[refute_0_95,refute_0_105]) ).
cnf(refute_0_107,plain,
meet(X1,X1) = complement(join(complement(X1),complement(X1))),
inference(subst,[],[refute_0_35:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_108,plain,
join(complement(X_64),composition(converse(one),complement(composition(one,X_64)))) = complement(X_64),
inference(subst,[],[refute_0_10:[bind(X0,$fot(one)),bind(X1,$fot(X_64))]]) ).
cnf(refute_0_109,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_110,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_109:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_111,plain,
converse(composition(converse(X0),X_7)) = composition(converse(X_7),converse(converse(X0))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_7))]]) ).
cnf(refute_0_112,plain,
( converse(composition(converse(X0),X_7)) != composition(converse(X_7),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_7)) = composition(converse(X_7),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_7)),composition(converse(X_7),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_113,plain,
( converse(composition(converse(X0),X_7)) != composition(converse(X_7),converse(converse(X0)))
| converse(composition(converse(X0),X_7)) = composition(converse(X_7),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_18,refute_0_112]) ).
cnf(refute_0_114,plain,
converse(composition(converse(X0),X_7)) = composition(converse(X_7),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_7)),composition(converse(X_7),converse(converse(X0)))) )],[refute_0_111,refute_0_113]) ).
cnf(refute_0_115,plain,
converse(composition(converse(X_13),one)) = composition(converse(one),X_13),
inference(subst,[],[refute_0_114:[bind(X0,$fot(X_13)),bind(X_7,$fot(one))]]) ).
cnf(refute_0_116,plain,
composition(converse(X_13),one) = converse(X_13),
inference(subst,[],[refute_0_109:[bind(X0,$fot(converse(X_13)))]]) ).
cnf(refute_0_117,plain,
( composition(converse(X_13),one) != converse(X_13)
| converse(composition(converse(X_13),one)) != composition(converse(one),X_13)
| converse(converse(X_13)) = composition(converse(one),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_13),one)),composition(converse(one),X_13)) ),[0,0],$fot(converse(X_13))]]) ).
cnf(refute_0_118,plain,
( converse(composition(converse(X_13),one)) != composition(converse(one),X_13)
| converse(converse(X_13)) = composition(converse(one),X_13) ),
inference(resolve,[$cnf( $equal(composition(converse(X_13),one),converse(X_13)) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
converse(converse(X_13)) = composition(converse(one),X_13),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_13),one)),composition(converse(one),X_13)) )],[refute_0_115,refute_0_118]) ).
cnf(refute_0_120,plain,
converse(converse(X_13)) = X_13,
inference(subst,[],[refute_0_18:[bind(X0,$fot(X_13))]]) ).
cnf(refute_0_121,plain,
( converse(converse(X_13)) != X_13
| converse(converse(X_13)) != composition(converse(one),X_13)
| X_13 = composition(converse(one),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_13)),composition(converse(one),X_13)) ),[0],$fot(X_13)]]) ).
cnf(refute_0_122,plain,
( converse(converse(X_13)) != composition(converse(one),X_13)
| X_13 = composition(converse(one),X_13) ),
inference(resolve,[$cnf( $equal(converse(converse(X_13)),X_13) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
X_13 = composition(converse(one),X_13),
inference(resolve,[$cnf( $equal(converse(converse(X_13)),composition(converse(one),X_13)) )],[refute_0_119,refute_0_122]) ).
cnf(refute_0_124,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_123:[bind(X_13,$fot(one))]]) ).
cnf(refute_0_125,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_126,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_128,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_110,refute_0_128]) ).
cnf(refute_0_130,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_131,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
( converse(one) != one
| join(complement(X_64),composition(converse(one),complement(composition(one,X_64)))) != complement(X_64)
| join(complement(X_64),composition(one,complement(composition(one,X_64)))) = complement(X_64) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_64),composition(converse(one),complement(composition(one,X_64)))),complement(X_64)) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_133,plain,
( join(complement(X_64),composition(converse(one),complement(composition(one,X_64)))) != complement(X_64)
| join(complement(X_64),composition(one,complement(composition(one,X_64)))) = complement(X_64) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
join(complement(X_64),composition(one,complement(composition(one,X_64)))) = complement(X_64),
inference(resolve,[$cnf( $equal(join(complement(X_64),composition(converse(one),complement(composition(one,X_64)))),complement(X_64)) )],[refute_0_108,refute_0_133]) ).
cnf(refute_0_135,plain,
composition(converse(one),X_13) = composition(converse(one),X_13),
introduced(tautology,[refl,[$fot(composition(converse(one),X_13))]]) ).
cnf(refute_0_136,plain,
( composition(converse(one),X_13) != composition(converse(one),X_13)
| converse(one) != one
| composition(converse(one),X_13) = composition(one,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_13),composition(converse(one),X_13)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_137,plain,
( converse(one) != one
| composition(converse(one),X_13) = composition(one,X_13) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_13),composition(converse(one),X_13)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
composition(converse(one),X_13) = composition(one,X_13),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_131,refute_0_137]) ).
cnf(refute_0_139,plain,
( X_13 != composition(converse(one),X_13)
| composition(converse(one),X_13) != composition(one,X_13)
| X_13 = composition(one,X_13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_13,composition(one,X_13)) ),[0],$fot(composition(converse(one),X_13))]]) ).
cnf(refute_0_140,plain,
( X_13 != composition(converse(one),X_13)
| X_13 = composition(one,X_13) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_13),composition(one,X_13)) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
X_13 = composition(one,X_13),
inference(resolve,[$cnf( $equal(X_13,composition(converse(one),X_13)) )],[refute_0_123,refute_0_140]) ).
cnf(refute_0_142,plain,
( X_13 != composition(one,X_13)
| composition(one,X_13) = X_13 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_13)),bind(Y,$fot(composition(one,X_13)))]]) ).
cnf(refute_0_143,plain,
composition(one,X_13) = X_13,
inference(resolve,[$cnf( $equal(X_13,composition(one,X_13)) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
composition(one,X_64) = X_64,
inference(subst,[],[refute_0_143:[bind(X_13,$fot(X_64))]]) ).
cnf(refute_0_145,plain,
complement(composition(one,X_64)) = complement(composition(one,X_64)),
introduced(tautology,[refl,[$fot(complement(composition(one,X_64)))]]) ).
cnf(refute_0_146,plain,
( complement(composition(one,X_64)) != complement(composition(one,X_64))
| composition(one,X_64) != X_64
| complement(composition(one,X_64)) = complement(X_64) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(one,X_64)),complement(composition(one,X_64))) ),[1,0],$fot(X_64)]]) ).
cnf(refute_0_147,plain,
( composition(one,X_64) != X_64
| complement(composition(one,X_64)) = complement(X_64) ),
inference(resolve,[$cnf( $equal(complement(composition(one,X_64)),complement(composition(one,X_64))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
complement(composition(one,X_64)) = complement(X_64),
inference(resolve,[$cnf( $equal(composition(one,X_64),X_64) )],[refute_0_144,refute_0_147]) ).
cnf(refute_0_149,plain,
composition(one,complement(composition(one,X_64))) = complement(composition(one,X_64)),
inference(subst,[],[refute_0_143:[bind(X_13,$fot(complement(composition(one,X_64))))]]) ).
cnf(refute_0_150,plain,
( complement(composition(one,X_64)) != complement(X_64)
| composition(one,complement(composition(one,X_64))) != complement(composition(one,X_64))
| composition(one,complement(composition(one,X_64))) = complement(X_64) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(one,complement(composition(one,X_64))))),bind(Y,$fot(complement(composition(one,X_64)))),bind(Z,$fot(complement(X_64)))]]) ).
cnf(refute_0_151,plain,
( complement(composition(one,X_64)) != complement(X_64)
| composition(one,complement(composition(one,X_64))) = complement(X_64) ),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(one,X_64))),complement(composition(one,X_64))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
composition(one,complement(composition(one,X_64))) = complement(X_64),
inference(resolve,[$cnf( $equal(complement(composition(one,X_64)),complement(X_64)) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
join(complement(X_64),composition(one,complement(composition(one,X_64)))) = join(complement(X_64),composition(one,complement(composition(one,X_64)))),
introduced(tautology,[refl,[$fot(join(complement(X_64),composition(one,complement(composition(one,X_64)))))]]) ).
cnf(refute_0_154,plain,
( composition(one,complement(composition(one,X_64))) != complement(X_64)
| join(complement(X_64),composition(one,complement(composition(one,X_64)))) != join(complement(X_64),composition(one,complement(composition(one,X_64))))
| join(complement(X_64),composition(one,complement(composition(one,X_64)))) = join(complement(X_64),complement(X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_64),composition(one,complement(composition(one,X_64)))),join(complement(X_64),composition(one,complement(composition(one,X_64))))) ),[1,1],$fot(complement(X_64))]]) ).
cnf(refute_0_155,plain,
( composition(one,complement(composition(one,X_64))) != complement(X_64)
| join(complement(X_64),composition(one,complement(composition(one,X_64)))) = join(complement(X_64),complement(X_64)) ),
inference(resolve,[$cnf( $equal(join(complement(X_64),composition(one,complement(composition(one,X_64)))),join(complement(X_64),composition(one,complement(composition(one,X_64))))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
join(complement(X_64),composition(one,complement(composition(one,X_64)))) = join(complement(X_64),complement(X_64)),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(one,X_64))),complement(X_64)) )],[refute_0_152,refute_0_155]) ).
cnf(refute_0_157,plain,
( join(complement(X_64),composition(one,complement(composition(one,X_64)))) != complement(X_64)
| join(complement(X_64),composition(one,complement(composition(one,X_64)))) != join(complement(X_64),complement(X_64))
| join(complement(X_64),complement(X_64)) = complement(X_64) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_64),composition(one,complement(composition(one,X_64)))),complement(X_64)) ),[0],$fot(join(complement(X_64),complement(X_64)))]]) ).
cnf(refute_0_158,plain,
( join(complement(X_64),composition(one,complement(composition(one,X_64)))) != complement(X_64)
| join(complement(X_64),complement(X_64)) = complement(X_64) ),
inference(resolve,[$cnf( $equal(join(complement(X_64),composition(one,complement(composition(one,X_64)))),join(complement(X_64),complement(X_64))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
join(complement(X_64),complement(X_64)) = complement(X_64),
inference(resolve,[$cnf( $equal(join(complement(X_64),composition(one,complement(composition(one,X_64)))),complement(X_64)) )],[refute_0_134,refute_0_158]) ).
cnf(refute_0_160,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(subst,[],[refute_0_159:[bind(X_64,$fot(X1))]]) ).
cnf(refute_0_161,plain,
( join(complement(X1),complement(X1)) != complement(X1)
| meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_162,plain,
( meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),complement(X1)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
meet(X1,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) )],[refute_0_107,refute_0_162]) ).
cnf(refute_0_164,plain,
X_93 = join(meet(X_93,complement(X_93)),complement(join(complement(X_93),complement(X_93)))),
inference(subst,[],[refute_0_88:[bind(X0,$fot(X_93)),bind(X1,$fot(complement(X_93)))]]) ).
cnf(refute_0_165,plain,
join(complement(X_93),complement(X_93)) = complement(X_93),
inference(subst,[],[refute_0_159:[bind(X_64,$fot(X_93))]]) ).
cnf(refute_0_166,plain,
( X_93 != join(meet(X_93,complement(X_93)),complement(join(complement(X_93),complement(X_93))))
| join(complement(X_93),complement(X_93)) != complement(X_93)
| X_93 = join(meet(X_93,complement(X_93)),complement(complement(X_93))) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,complement(X_93)),complement(join(complement(X_93),complement(X_93))))) ),[1,1,0],$fot(complement(X_93))]]) ).
cnf(refute_0_167,plain,
( X_93 != join(meet(X_93,complement(X_93)),complement(join(complement(X_93),complement(X_93))))
| X_93 = join(meet(X_93,complement(X_93)),complement(complement(X_93))) ),
inference(resolve,[$cnf( $equal(join(complement(X_93),complement(X_93)),complement(X_93)) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
X_93 = join(meet(X_93,complement(X_93)),complement(complement(X_93))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,complement(X_93)),complement(join(complement(X_93),complement(X_93))))) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
join(complement(complement(X_93)),zero) = join(zero,complement(complement(X_93))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(complement(X_93))))]]) ).
cnf(refute_0_170,plain,
( zero != meet(X0,complement(X0))
| meet(X0,complement(X0)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X0,complement(X0))))]]) ).
cnf(refute_0_171,plain,
meet(X0,complement(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X0,complement(X0))) )],[refute_0_33,refute_0_170]) ).
cnf(refute_0_172,plain,
meet(X_93,complement(X_93)) = zero,
inference(subst,[],[refute_0_171:[bind(X0,$fot(X_93))]]) ).
cnf(refute_0_173,plain,
join(complement(complement(X_93)),meet(X_93,complement(X_93))) = join(complement(complement(X_93)),meet(X_93,complement(X_93))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_93)),meet(X_93,complement(X_93))))]]) ).
cnf(refute_0_174,plain,
( join(complement(complement(X_93)),meet(X_93,complement(X_93))) != join(complement(complement(X_93)),meet(X_93,complement(X_93)))
| meet(X_93,complement(X_93)) != zero
| join(complement(complement(X_93)),meet(X_93,complement(X_93))) = join(complement(complement(X_93)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_93)),meet(X_93,complement(X_93))),join(complement(complement(X_93)),meet(X_93,complement(X_93)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_175,plain,
( meet(X_93,complement(X_93)) != zero
| join(complement(complement(X_93)),meet(X_93,complement(X_93))) = join(complement(complement(X_93)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_93)),meet(X_93,complement(X_93))),join(complement(complement(X_93)),meet(X_93,complement(X_93)))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
join(complement(complement(X_93)),meet(X_93,complement(X_93))) = join(complement(complement(X_93)),zero),
inference(resolve,[$cnf( $equal(meet(X_93,complement(X_93)),zero) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
( join(complement(complement(X_93)),meet(X_93,complement(X_93))) != join(complement(complement(X_93)),zero)
| join(complement(complement(X_93)),zero) != join(zero,complement(complement(X_93)))
| join(complement(complement(X_93)),meet(X_93,complement(X_93))) = join(zero,complement(complement(X_93))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(complement(X_93)),meet(X_93,complement(X_93))))),bind(Y,$fot(join(complement(complement(X_93)),zero))),bind(Z,$fot(join(zero,complement(complement(X_93)))))]]) ).
cnf(refute_0_178,plain,
( join(complement(complement(X_93)),zero) != join(zero,complement(complement(X_93)))
| join(complement(complement(X_93)),meet(X_93,complement(X_93))) = join(zero,complement(complement(X_93))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_93)),meet(X_93,complement(X_93))),join(complement(complement(X_93)),zero)) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
join(complement(complement(X_93)),meet(X_93,complement(X_93))) = join(zero,complement(complement(X_93))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_93)),zero),join(zero,complement(complement(X_93)))) )],[refute_0_169,refute_0_178]) ).
cnf(refute_0_180,plain,
join(meet(X_93,complement(X_93)),complement(complement(X_93))) = join(complement(complement(X_93)),meet(X_93,complement(X_93))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(complement(X_93)))),bind(X1,$fot(meet(X_93,complement(X_93))))]]) ).
cnf(refute_0_181,plain,
( join(complement(complement(X_93)),meet(X_93,complement(X_93))) != join(zero,complement(complement(X_93)))
| join(meet(X_93,complement(X_93)),complement(complement(X_93))) != join(complement(complement(X_93)),meet(X_93,complement(X_93)))
| join(meet(X_93,complement(X_93)),complement(complement(X_93))) = join(zero,complement(complement(X_93))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(meet(X_93,complement(X_93)),complement(complement(X_93))))),bind(Y,$fot(join(complement(complement(X_93)),meet(X_93,complement(X_93))))),bind(Z,$fot(join(zero,complement(complement(X_93)))))]]) ).
cnf(refute_0_182,plain,
( join(complement(complement(X_93)),meet(X_93,complement(X_93))) != join(zero,complement(complement(X_93)))
| join(meet(X_93,complement(X_93)),complement(complement(X_93))) = join(zero,complement(complement(X_93))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,complement(X_93)),complement(complement(X_93))),join(complement(complement(X_93)),meet(X_93,complement(X_93)))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
join(meet(X_93,complement(X_93)),complement(complement(X_93))) = join(zero,complement(complement(X_93))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_93)),meet(X_93,complement(X_93))),join(zero,complement(complement(X_93)))) )],[refute_0_179,refute_0_182]) ).
cnf(refute_0_184,plain,
( X_93 != join(meet(X_93,complement(X_93)),complement(complement(X_93)))
| join(meet(X_93,complement(X_93)),complement(complement(X_93))) != join(zero,complement(complement(X_93)))
| X_93 = join(zero,complement(complement(X_93))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(zero,complement(complement(X_93)))) ),[0],$fot(join(meet(X_93,complement(X_93)),complement(complement(X_93))))]]) ).
cnf(refute_0_185,plain,
( X_93 != join(meet(X_93,complement(X_93)),complement(complement(X_93)))
| X_93 = join(zero,complement(complement(X_93))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,complement(X_93)),complement(complement(X_93))),join(zero,complement(complement(X_93)))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
X_93 = join(zero,complement(complement(X_93))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,complement(X_93)),complement(complement(X_93)))) )],[refute_0_168,refute_0_185]) ).
cnf(refute_0_187,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_94),complement(join(complement(join(zero,complement(X1))),X_94))),
inference(subst,[],[refute_0_88:[bind(X0,$fot(join(zero,complement(X1)))),bind(X1,$fot(X_94))]]) ).
cnf(refute_0_188,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_35:[bind(X0,$fot(top))]]) ).
cnf(refute_0_189,plain,
( complement(top) != zero
| meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_190,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_189]) ).
cnf(refute_0_191,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_188,refute_0_190]) ).
cnf(refute_0_192,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_193,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_94),complement(join(complement(join(zero,complement(X1))),X_94)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_94),complement(join(meet(top,X1),X_94))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_94),complement(join(complement(join(zero,complement(X1))),X_94)))) ),[1,1,0,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_195,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_94),complement(join(complement(join(zero,complement(X1))),X_94)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_94),complement(join(meet(top,X1),X_94))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_94),complement(join(meet(top,X1),X_94))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_94),complement(join(complement(join(zero,complement(X1))),X_94)))) )],[refute_0_187,refute_0_195]) ).
cnf(refute_0_197,plain,
join(meet(join(zero,complement(X1)),X_94),complement(join(meet(top,X1),X_94))) = join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(meet(top,X1),X_94)))),bind(X1,$fot(meet(join(zero,complement(X1)),X_94)))]]) ).
cnf(refute_0_198,plain,
( join(meet(join(zero,complement(X1)),X_94),complement(join(meet(top,X1),X_94))) != join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94))
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_94),complement(join(meet(top,X1),X_94)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_94),complement(join(meet(top,X1),X_94)))) ),[1],$fot(join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)))]]) ).
cnf(refute_0_199,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_94),complement(join(meet(top,X1),X_94)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,complement(X1)),X_94),complement(join(meet(top,X1),X_94))),join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_94),complement(join(meet(top,X1),X_94)))) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
( X0 != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(meet(X0,X1),complement(join(complement(X0),X1))) = X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X0)),bind(Y,$fot(join(meet(X0,X1),complement(join(complement(X0),X1)))))]]) ).
cnf(refute_0_202,plain,
join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(resolve,[$cnf( $equal(X0,join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_88,refute_0_201]) ).
cnf(refute_0_203,plain,
join(meet(complement(X1),X_94),complement(join(complement(complement(X1)),X_94))) = complement(X1),
inference(subst,[],[refute_0_202:[bind(X0,$fot(complement(X1))),bind(X1,$fot(X_94))]]) ).
cnf(refute_0_204,plain,
join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)) = join(meet(complement(X1),X_94),complement(join(complement(complement(X1)),X_94))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(complement(X1),X_94))),bind(X1,$fot(complement(join(complement(complement(X1)),X_94))))]]) ).
cnf(refute_0_205,plain,
( join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)) != join(meet(complement(X1),X_94),complement(join(complement(complement(X1)),X_94)))
| join(meet(complement(X1),X_94),complement(join(complement(complement(X1)),X_94))) != complement(X1)
| join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)) = complement(X1) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)))),bind(Y,$fot(join(meet(complement(X1),X_94),complement(join(complement(complement(X1)),X_94))))),bind(Z,$fot(complement(X1)))]]) ).
cnf(refute_0_206,plain,
( join(meet(complement(X1),X_94),complement(join(complement(complement(X1)),X_94))) != complement(X1)
| join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)),join(meet(complement(X1),X_94),complement(join(complement(complement(X1)),X_94)))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)) = complement(X1),
inference(resolve,[$cnf( $equal(join(meet(complement(X1),X_94),complement(join(complement(complement(X1)),X_94))),complement(X1)) )],[refute_0_203,refute_0_206]) ).
cnf(refute_0_208,plain,
meet(join(zero,complement(X_32)),X1) = complement(join(complement(join(zero,complement(X_32))),complement(X1))),
inference(subst,[],[refute_0_35:[bind(X0,$fot(join(zero,complement(X_32))))]]) ).
cnf(refute_0_209,plain,
meet(top,X_32) = complement(join(zero,complement(X_32))),
inference(subst,[],[refute_0_191:[bind(X1,$fot(X_32))]]) ).
cnf(refute_0_210,plain,
( meet(top,X_32) != complement(join(zero,complement(X_32)))
| complement(join(zero,complement(X_32))) = meet(top,X_32) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_32))),bind(Y,$fot(complement(join(zero,complement(X_32)))))]]) ).
cnf(refute_0_211,plain,
complement(join(zero,complement(X_32))) = meet(top,X_32),
inference(resolve,[$cnf( $equal(meet(top,X_32),complement(join(zero,complement(X_32)))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
( complement(join(zero,complement(X_32))) != meet(top,X_32)
| meet(join(zero,complement(X_32)),X1) != complement(join(complement(join(zero,complement(X_32))),complement(X1)))
| meet(join(zero,complement(X_32)),X1) = complement(join(meet(top,X_32),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_32)),X1),complement(join(complement(join(zero,complement(X_32))),complement(X1)))) ),[1,0,0],$fot(meet(top,X_32))]]) ).
cnf(refute_0_213,plain,
( meet(join(zero,complement(X_32)),X1) != complement(join(complement(join(zero,complement(X_32))),complement(X1)))
| meet(join(zero,complement(X_32)),X1) = complement(join(meet(top,X_32),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_32))),meet(top,X_32)) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
meet(join(zero,complement(X_32)),X1) = complement(join(meet(top,X_32),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_32)),X1),complement(join(complement(join(zero,complement(X_32))),complement(X1)))) )],[refute_0_208,refute_0_213]) ).
cnf(refute_0_215,plain,
complement(join(complement(complement(X_32)),complement(X1))) = meet(complement(X_32),X1),
inference(subst,[],[refute_0_78:[bind(X0,$fot(complement(X_32)))]]) ).
cnf(refute_0_216,plain,
meet(top,join(zero,complement(X_32))) = complement(join(zero,complement(join(zero,complement(X_32))))),
inference(subst,[],[refute_0_191:[bind(X1,$fot(join(zero,complement(X_32))))]]) ).
cnf(refute_0_217,plain,
( complement(join(zero,complement(X_32))) != meet(top,X_32)
| meet(top,join(zero,complement(X_32))) != complement(join(zero,complement(join(zero,complement(X_32)))))
| meet(top,join(zero,complement(X_32))) = complement(join(zero,meet(top,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_32))),complement(join(zero,complement(join(zero,complement(X_32)))))) ),[1,0,1],$fot(meet(top,X_32))]]) ).
cnf(refute_0_218,plain,
( meet(top,join(zero,complement(X_32))) != complement(join(zero,complement(join(zero,complement(X_32)))))
| meet(top,join(zero,complement(X_32))) = complement(join(zero,meet(top,X_32))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_32))),meet(top,X_32)) )],[refute_0_211,refute_0_217]) ).
cnf(refute_0_219,plain,
meet(top,join(zero,complement(X_32))) = complement(join(zero,meet(top,X_32))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_32))),complement(join(zero,complement(join(zero,complement(X_32)))))) )],[refute_0_216,refute_0_218]) ).
cnf(refute_0_220,plain,
X_93 = join(meet(X_93,top),complement(join(complement(X_93),top))),
inference(subst,[],[refute_0_88:[bind(X0,$fot(X_93)),bind(X1,$fot(top))]]) ).
cnf(refute_0_221,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_0_35:[bind(X1,$fot(top))]]) ).
cnf(refute_0_222,plain,
( complement(top) != zero
| meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_223,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_222]) ).
cnf(refute_0_224,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_0_221,refute_0_223]) ).
cnf(refute_0_225,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_0_193:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_226,plain,
join(complement(X0),zero) = join(zero,complement(X0)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X0)))]]) ).
cnf(refute_0_227,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_0_228,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_0_229,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_0_232,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_0_225,refute_0_232]) ).
cnf(refute_0_234,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_0_235,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_0_224,refute_0_235]) ).
cnf(refute_0_237,plain,
meet(X_93,top) = meet(top,X_93),
inference(subst,[],[refute_0_236:[bind(X0,$fot(X_93))]]) ).
cnf(refute_0_238,plain,
( X_93 != join(meet(X_93,top),complement(join(complement(X_93),top)))
| meet(X_93,top) != meet(top,X_93)
| X_93 = join(meet(top,X_93),complement(join(complement(X_93),top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,top),complement(join(complement(X_93),top)))) ),[1,0],$fot(meet(top,X_93))]]) ).
cnf(refute_0_239,plain,
( X_93 != join(meet(X_93,top),complement(join(complement(X_93),top)))
| X_93 = join(meet(top,X_93),complement(join(complement(X_93),top))) ),
inference(resolve,[$cnf( $equal(meet(X_93,top),meet(top,X_93)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
X_93 = join(meet(top,X_93),complement(join(complement(X_93),top))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,top),complement(join(complement(X_93),top)))) )],[refute_0_220,refute_0_239]) ).
cnf(refute_0_241,plain,
join(meet(top,X_93),zero) = join(zero,meet(top,X_93)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,X_93)))]]) ).
cnf(refute_0_242,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_243,plain,
join(X_39,join(complement(X_39),X_41)) = join(join(X_39,complement(X_39)),X_41),
inference(subst,[],[refute_0_242:[bind(X0,$fot(X_39)),bind(X1,$fot(complement(X_39))),bind(X2,$fot(X_41))]]) ).
cnf(refute_0_244,plain,
top = join(X_39,complement(X_39)),
inference(subst,[],[refute_0_42:[bind(X0,$fot(X_39))]]) ).
cnf(refute_0_245,plain,
( top != join(X_39,complement(X_39))
| join(X_39,complement(X_39)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_39,complement(X_39))))]]) ).
cnf(refute_0_246,plain,
join(X_39,complement(X_39)) = top,
inference(resolve,[$cnf( $equal(top,join(X_39,complement(X_39))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
( join(X_39,complement(X_39)) != top
| join(X_39,join(complement(X_39),X_41)) != join(join(X_39,complement(X_39)),X_41)
| join(X_39,join(complement(X_39),X_41)) = join(top,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_39,join(complement(X_39),X_41)),join(join(X_39,complement(X_39)),X_41)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_248,plain,
( join(X_39,join(complement(X_39),X_41)) != join(join(X_39,complement(X_39)),X_41)
| join(X_39,join(complement(X_39),X_41)) = join(top,X_41) ),
inference(resolve,[$cnf( $equal(join(X_39,complement(X_39)),top) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
join(X_39,join(complement(X_39),X_41)) = join(top,X_41),
inference(resolve,[$cnf( $equal(join(X_39,join(complement(X_39),X_41)),join(join(X_39,complement(X_39)),X_41)) )],[refute_0_243,refute_0_248]) ).
cnf(refute_0_250,plain,
join(X_43,join(complement(X_43),complement(complement(X_43)))) = join(top,complement(complement(X_43))),
inference(subst,[],[refute_0_249:[bind(X_39,$fot(X_43)),bind(X_41,$fot(complement(complement(X_43))))]]) ).
cnf(refute_0_251,plain,
top = join(complement(X_43),complement(complement(X_43))),
inference(subst,[],[refute_0_42:[bind(X0,$fot(complement(X_43)))]]) ).
cnf(refute_0_252,plain,
( top != join(complement(X_43),complement(complement(X_43)))
| join(complement(X_43),complement(complement(X_43))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_43),complement(complement(X_43)))))]]) ).
cnf(refute_0_253,plain,
join(complement(X_43),complement(complement(X_43))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_43),complement(complement(X_43)))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
( join(X_43,join(complement(X_43),complement(complement(X_43)))) != join(top,complement(complement(X_43)))
| join(complement(X_43),complement(complement(X_43))) != top
| join(X_43,top) = join(top,complement(complement(X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_43,join(complement(X_43),complement(complement(X_43)))),join(top,complement(complement(X_43)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_255,plain,
( join(X_43,join(complement(X_43),complement(complement(X_43)))) != join(top,complement(complement(X_43)))
| join(X_43,top) = join(top,complement(complement(X_43))) ),
inference(resolve,[$cnf( $equal(join(complement(X_43),complement(complement(X_43))),top) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
join(X_43,top) = join(top,complement(complement(X_43))),
inference(resolve,[$cnf( $equal(join(X_43,join(complement(X_43),complement(complement(X_43)))),join(top,complement(complement(X_43)))) )],[refute_0_250,refute_0_255]) ).
cnf(refute_0_257,plain,
join(X_39,join(complement(X_39),complement(X_39))) = join(top,complement(X_39)),
inference(subst,[],[refute_0_249:[bind(X_41,$fot(complement(X_39)))]]) ).
cnf(refute_0_258,plain,
join(complement(X_39),complement(X_39)) = complement(X_39),
inference(subst,[],[refute_0_159:[bind(X_64,$fot(X_39))]]) ).
cnf(refute_0_259,plain,
( join(X_39,join(complement(X_39),complement(X_39))) != join(top,complement(X_39))
| join(complement(X_39),complement(X_39)) != complement(X_39)
| join(X_39,complement(X_39)) = join(top,complement(X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_39,join(complement(X_39),complement(X_39))),join(top,complement(X_39))) ),[0,1],$fot(complement(X_39))]]) ).
cnf(refute_0_260,plain,
( join(X_39,join(complement(X_39),complement(X_39))) != join(top,complement(X_39))
| join(X_39,complement(X_39)) = join(top,complement(X_39)) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),complement(X_39)),complement(X_39)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
join(X_39,complement(X_39)) = join(top,complement(X_39)),
inference(resolve,[$cnf( $equal(join(X_39,join(complement(X_39),complement(X_39))),join(top,complement(X_39))) )],[refute_0_257,refute_0_260]) ).
cnf(refute_0_262,plain,
( join(X_39,complement(X_39)) != join(top,complement(X_39))
| join(X_39,complement(X_39)) != top
| top = join(top,complement(X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_39,complement(X_39)),join(top,complement(X_39))) ),[0],$fot(top)]]) ).
cnf(refute_0_263,plain,
( join(X_39,complement(X_39)) != join(top,complement(X_39))
| top = join(top,complement(X_39)) ),
inference(resolve,[$cnf( $equal(join(X_39,complement(X_39)),top) )],[refute_0_246,refute_0_262]) ).
cnf(refute_0_264,plain,
top = join(top,complement(X_39)),
inference(resolve,[$cnf( $equal(join(X_39,complement(X_39)),join(top,complement(X_39))) )],[refute_0_261,refute_0_263]) ).
cnf(refute_0_265,plain,
( top != join(top,complement(X_39))
| join(top,complement(X_39)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_39))))]]) ).
cnf(refute_0_266,plain,
join(top,complement(X_39)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_39))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
join(top,complement(complement(X_43))) = top,
inference(subst,[],[refute_0_266:[bind(X_39,$fot(complement(X_43)))]]) ).
cnf(refute_0_268,plain,
( join(X_43,top) != join(top,complement(complement(X_43)))
| join(top,complement(complement(X_43))) != top
| join(X_43,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_43,top),top) ),[0],$fot(join(top,complement(complement(X_43))))]]) ).
cnf(refute_0_269,plain,
( join(X_43,top) != join(top,complement(complement(X_43)))
| join(X_43,top) = top ),
inference(resolve,[$cnf( $equal(join(top,complement(complement(X_43))),top) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
join(X_43,top) = top,
inference(resolve,[$cnf( $equal(join(X_43,top),join(top,complement(complement(X_43)))) )],[refute_0_256,refute_0_269]) ).
cnf(refute_0_271,plain,
join(complement(X_93),top) = top,
inference(subst,[],[refute_0_270:[bind(X_43,$fot(complement(X_93)))]]) ).
cnf(refute_0_272,plain,
complement(join(complement(X_93),top)) = complement(join(complement(X_93),top)),
introduced(tautology,[refl,[$fot(complement(join(complement(X_93),top)))]]) ).
cnf(refute_0_273,plain,
( complement(join(complement(X_93),top)) != complement(join(complement(X_93),top))
| join(complement(X_93),top) != top
| complement(join(complement(X_93),top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_93),top)),complement(join(complement(X_93),top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_274,plain,
( join(complement(X_93),top) != top
| complement(join(complement(X_93),top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_93),top)),complement(join(complement(X_93),top))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
complement(join(complement(X_93),top)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(X_93),top),top) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
( complement(join(complement(X_93),top)) != complement(top)
| complement(top) != zero
| complement(join(complement(X_93),top)) = zero ),
inference(subst,[],[refute_0_56:[bind(X,$fot(complement(join(complement(X_93),top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_277,plain,
( complement(top) != zero
| complement(join(complement(X_93),top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_93),top)),complement(top)) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
complement(join(complement(X_93),top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_277]) ).
cnf(refute_0_279,plain,
join(meet(top,X_93),complement(join(complement(X_93),top))) = join(meet(top,X_93),complement(join(complement(X_93),top))),
introduced(tautology,[refl,[$fot(join(meet(top,X_93),complement(join(complement(X_93),top))))]]) ).
cnf(refute_0_280,plain,
( complement(join(complement(X_93),top)) != zero
| join(meet(top,X_93),complement(join(complement(X_93),top))) != join(meet(top,X_93),complement(join(complement(X_93),top)))
| join(meet(top,X_93),complement(join(complement(X_93),top))) = join(meet(top,X_93),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_93),complement(join(complement(X_93),top))),join(meet(top,X_93),complement(join(complement(X_93),top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_281,plain,
( complement(join(complement(X_93),top)) != zero
| join(meet(top,X_93),complement(join(complement(X_93),top))) = join(meet(top,X_93),zero) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_93),complement(join(complement(X_93),top))),join(meet(top,X_93),complement(join(complement(X_93),top)))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
join(meet(top,X_93),complement(join(complement(X_93),top))) = join(meet(top,X_93),zero),
inference(resolve,[$cnf( $equal(complement(join(complement(X_93),top)),zero) )],[refute_0_278,refute_0_281]) ).
cnf(refute_0_283,plain,
( join(meet(top,X_93),complement(join(complement(X_93),top))) != join(meet(top,X_93),zero)
| join(meet(top,X_93),zero) != join(zero,meet(top,X_93))
| join(meet(top,X_93),complement(join(complement(X_93),top))) = join(zero,meet(top,X_93)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(meet(top,X_93),complement(join(complement(X_93),top))))),bind(Y,$fot(join(meet(top,X_93),zero))),bind(Z,$fot(join(zero,meet(top,X_93))))]]) ).
cnf(refute_0_284,plain,
( join(meet(top,X_93),zero) != join(zero,meet(top,X_93))
| join(meet(top,X_93),complement(join(complement(X_93),top))) = join(zero,meet(top,X_93)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_93),complement(join(complement(X_93),top))),join(meet(top,X_93),zero)) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
join(meet(top,X_93),complement(join(complement(X_93),top))) = join(zero,meet(top,X_93)),
inference(resolve,[$cnf( $equal(join(meet(top,X_93),zero),join(zero,meet(top,X_93))) )],[refute_0_241,refute_0_284]) ).
cnf(refute_0_286,plain,
( X_93 != join(meet(top,X_93),complement(join(complement(X_93),top)))
| join(meet(top,X_93),complement(join(complement(X_93),top))) != join(zero,meet(top,X_93))
| X_93 = join(zero,meet(top,X_93)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(zero,meet(top,X_93))) ),[0],$fot(join(meet(top,X_93),complement(join(complement(X_93),top))))]]) ).
cnf(refute_0_287,plain,
( X_93 != join(meet(top,X_93),complement(join(complement(X_93),top)))
| X_93 = join(zero,meet(top,X_93)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_93),complement(join(complement(X_93),top))),join(zero,meet(top,X_93))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
X_93 = join(zero,meet(top,X_93)),
inference(resolve,[$cnf( $equal(X_93,join(meet(top,X_93),complement(join(complement(X_93),top)))) )],[refute_0_240,refute_0_287]) ).
cnf(refute_0_289,plain,
( X_93 != join(zero,meet(top,X_93))
| join(zero,meet(top,X_93)) = X_93 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_93)),bind(Y,$fot(join(zero,meet(top,X_93))))]]) ).
cnf(refute_0_290,plain,
join(zero,meet(top,X_93)) = X_93,
inference(resolve,[$cnf( $equal(X_93,join(zero,meet(top,X_93))) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
join(zero,meet(top,X_32)) = X_32,
inference(subst,[],[refute_0_290:[bind(X_93,$fot(X_32))]]) ).
cnf(refute_0_292,plain,
complement(join(zero,meet(top,X_32))) = complement(join(zero,meet(top,X_32))),
introduced(tautology,[refl,[$fot(complement(join(zero,meet(top,X_32))))]]) ).
cnf(refute_0_293,plain,
( complement(join(zero,meet(top,X_32))) != complement(join(zero,meet(top,X_32)))
| join(zero,meet(top,X_32)) != X_32
| complement(join(zero,meet(top,X_32))) = complement(X_32) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(top,X_32))),complement(join(zero,meet(top,X_32)))) ),[1,0],$fot(X_32)]]) ).
cnf(refute_0_294,plain,
( join(zero,meet(top,X_32)) != X_32
| complement(join(zero,meet(top,X_32))) = complement(X_32) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_32))),complement(join(zero,meet(top,X_32)))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
complement(join(zero,meet(top,X_32))) = complement(X_32),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_32)),X_32) )],[refute_0_291,refute_0_294]) ).
cnf(refute_0_296,plain,
( complement(join(zero,meet(top,X_32))) != complement(X_32)
| meet(top,join(zero,complement(X_32))) != complement(join(zero,meet(top,X_32)))
| meet(top,join(zero,complement(X_32))) = complement(X_32) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_32))),complement(join(zero,meet(top,X_32)))) ),[1],$fot(complement(X_32))]]) ).
cnf(refute_0_297,plain,
( meet(top,join(zero,complement(X_32))) != complement(join(zero,meet(top,X_32)))
| meet(top,join(zero,complement(X_32))) = complement(X_32) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_32))),complement(X_32)) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
meet(top,join(zero,complement(X_32))) = complement(X_32),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_32))),complement(join(zero,meet(top,X_32)))) )],[refute_0_219,refute_0_297]) ).
cnf(refute_0_299,plain,
meet(top,join(zero,complement(complement(X_93)))) = complement(complement(X_93)),
inference(subst,[],[refute_0_298:[bind(X_32,$fot(complement(X_93)))]]) ).
cnf(refute_0_300,plain,
( X_93 != join(zero,complement(complement(X_93)))
| join(zero,complement(complement(X_93))) = X_93 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_93)),bind(Y,$fot(join(zero,complement(complement(X_93)))))]]) ).
cnf(refute_0_301,plain,
join(zero,complement(complement(X_93))) = X_93,
inference(resolve,[$cnf( $equal(X_93,join(zero,complement(complement(X_93)))) )],[refute_0_186,refute_0_300]) ).
cnf(refute_0_302,plain,
( join(zero,complement(complement(X_93))) != X_93
| meet(top,join(zero,complement(complement(X_93)))) != complement(complement(X_93))
| meet(top,X_93) = complement(complement(X_93)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(complement(X_93)))),complement(complement(X_93))) ),[0,1],$fot(X_93)]]) ).
cnf(refute_0_303,plain,
( meet(top,join(zero,complement(complement(X_93)))) != complement(complement(X_93))
| meet(top,X_93) = complement(complement(X_93)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_93))),X_93) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
meet(top,X_93) = complement(complement(X_93)),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(complement(X_93)))),complement(complement(X_93))) )],[refute_0_299,refute_0_303]) ).
cnf(refute_0_305,plain,
meet(top,X_32) = complement(complement(X_32)),
inference(subst,[],[refute_0_304:[bind(X_93,$fot(X_32))]]) ).
cnf(refute_0_306,plain,
join(meet(top,X_32),complement(X1)) = join(meet(top,X_32),complement(X1)),
introduced(tautology,[refl,[$fot(join(meet(top,X_32),complement(X1)))]]) ).
cnf(refute_0_307,plain,
( join(meet(top,X_32),complement(X1)) != join(meet(top,X_32),complement(X1))
| meet(top,X_32) != complement(complement(X_32))
| join(meet(top,X_32),complement(X1)) = join(complement(complement(X_32)),complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_32),complement(X1)),join(meet(top,X_32),complement(X1))) ),[1,0],$fot(complement(complement(X_32)))]]) ).
cnf(refute_0_308,plain,
( meet(top,X_32) != complement(complement(X_32))
| join(meet(top,X_32),complement(X1)) = join(complement(complement(X_32)),complement(X1)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_32),complement(X1)),join(meet(top,X_32),complement(X1))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
join(meet(top,X_32),complement(X1)) = join(complement(complement(X_32)),complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X_32),complement(complement(X_32))) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
complement(join(meet(top,X_32),complement(X1))) = complement(join(meet(top,X_32),complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X_32),complement(X1))))]]) ).
cnf(refute_0_311,plain,
( complement(join(meet(top,X_32),complement(X1))) != complement(join(meet(top,X_32),complement(X1)))
| join(meet(top,X_32),complement(X1)) != join(complement(complement(X_32)),complement(X1))
| complement(join(meet(top,X_32),complement(X1))) = complement(join(complement(complement(X_32)),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X_32),complement(X1))),complement(join(meet(top,X_32),complement(X1)))) ),[1,0],$fot(join(complement(complement(X_32)),complement(X1)))]]) ).
cnf(refute_0_312,plain,
( join(meet(top,X_32),complement(X1)) != join(complement(complement(X_32)),complement(X1))
| complement(join(meet(top,X_32),complement(X1))) = complement(join(complement(complement(X_32)),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_32),complement(X1))),complement(join(meet(top,X_32),complement(X1)))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
complement(join(meet(top,X_32),complement(X1))) = complement(join(complement(complement(X_32)),complement(X1))),
inference(resolve,[$cnf( $equal(join(meet(top,X_32),complement(X1)),join(complement(complement(X_32)),complement(X1))) )],[refute_0_309,refute_0_312]) ).
cnf(refute_0_314,plain,
( complement(join(complement(complement(X_32)),complement(X1))) != meet(complement(X_32),X1)
| complement(join(meet(top,X_32),complement(X1))) != complement(join(complement(complement(X_32)),complement(X1)))
| complement(join(meet(top,X_32),complement(X1))) = meet(complement(X_32),X1) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(complement(join(meet(top,X_32),complement(X1))))),bind(Y,$fot(complement(join(complement(complement(X_32)),complement(X1))))),bind(Z,$fot(meet(complement(X_32),X1)))]]) ).
cnf(refute_0_315,plain,
( complement(join(complement(complement(X_32)),complement(X1))) != meet(complement(X_32),X1)
| complement(join(meet(top,X_32),complement(X1))) = meet(complement(X_32),X1) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_32),complement(X1))),complement(join(complement(complement(X_32)),complement(X1)))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
complement(join(meet(top,X_32),complement(X1))) = meet(complement(X_32),X1),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_32)),complement(X1))),meet(complement(X_32),X1)) )],[refute_0_215,refute_0_315]) ).
cnf(refute_0_317,plain,
( complement(join(meet(top,X_32),complement(X1))) != meet(complement(X_32),X1)
| meet(join(zero,complement(X_32)),X1) != complement(join(meet(top,X_32),complement(X1)))
| meet(join(zero,complement(X_32)),X1) = meet(complement(X_32),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_32)),X1),complement(join(meet(top,X_32),complement(X1)))) ),[1],$fot(meet(complement(X_32),X1))]]) ).
cnf(refute_0_318,plain,
( meet(join(zero,complement(X_32)),X1) != complement(join(meet(top,X_32),complement(X1)))
| meet(join(zero,complement(X_32)),X1) = meet(complement(X_32),X1) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_32),complement(X1))),meet(complement(X_32),X1)) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
meet(join(zero,complement(X_32)),X1) = meet(complement(X_32),X1),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_32)),X1),complement(join(meet(top,X_32),complement(X1)))) )],[refute_0_214,refute_0_318]) ).
cnf(refute_0_320,plain,
meet(join(zero,complement(X1)),X_94) = meet(complement(X1),X_94),
inference(subst,[],[refute_0_319:[bind(X1,$fot(X_94)),bind(X_32,$fot(X1))]]) ).
cnf(refute_0_321,plain,
join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94)) = join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94)),
introduced(tautology,[refl,[$fot(join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94)))]]) ).
cnf(refute_0_322,plain,
( join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94)) != join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94))
| meet(join(zero,complement(X1)),X_94) != meet(complement(X1),X_94)
| join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94)) = join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94)),join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94))) ),[1,1],$fot(meet(complement(X1),X_94))]]) ).
cnf(refute_0_323,plain,
( meet(join(zero,complement(X1)),X_94) != meet(complement(X1),X_94)
| join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94)) = join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94)),join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94)) = join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_94),meet(complement(X1),X_94)) )],[refute_0_320,refute_0_323]) ).
cnf(refute_0_325,plain,
meet(top,X1) = complement(complement(X1)),
inference(subst,[],[refute_0_304:[bind(X_93,$fot(X1))]]) ).
cnf(refute_0_326,plain,
join(meet(top,X1),X_94) = join(meet(top,X1),X_94),
introduced(tautology,[refl,[$fot(join(meet(top,X1),X_94))]]) ).
cnf(refute_0_327,plain,
( join(meet(top,X1),X_94) != join(meet(top,X1),X_94)
| meet(top,X1) != complement(complement(X1))
| join(meet(top,X1),X_94) = join(complement(complement(X1)),X_94) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),X_94),join(meet(top,X1),X_94)) ),[1,0],$fot(complement(complement(X1)))]]) ).
cnf(refute_0_328,plain,
( meet(top,X1) != complement(complement(X1))
| join(meet(top,X1),X_94) = join(complement(complement(X1)),X_94) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_94),join(meet(top,X1),X_94)) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
join(meet(top,X1),X_94) = join(complement(complement(X1)),X_94),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(complement(X1))) )],[refute_0_325,refute_0_328]) ).
cnf(refute_0_330,plain,
complement(join(meet(top,X1),X_94)) = complement(join(meet(top,X1),X_94)),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X1),X_94)))]]) ).
cnf(refute_0_331,plain,
( complement(join(meet(top,X1),X_94)) != complement(join(meet(top,X1),X_94))
| join(meet(top,X1),X_94) != join(complement(complement(X1)),X_94)
| complement(join(meet(top,X1),X_94)) = complement(join(complement(complement(X1)),X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X1),X_94)),complement(join(meet(top,X1),X_94))) ),[1,0],$fot(join(complement(complement(X1)),X_94))]]) ).
cnf(refute_0_332,plain,
( join(meet(top,X1),X_94) != join(complement(complement(X1)),X_94)
| complement(join(meet(top,X1),X_94)) = complement(join(complement(complement(X1)),X_94)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_94)),complement(join(meet(top,X1),X_94))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
complement(join(meet(top,X1),X_94)) = complement(join(complement(complement(X1)),X_94)),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_94),join(complement(complement(X1)),X_94)) )],[refute_0_329,refute_0_332]) ).
cnf(refute_0_334,plain,
join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)) = join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)))]]) ).
cnf(refute_0_335,plain,
( complement(join(meet(top,X1),X_94)) != complement(join(complement(complement(X1)),X_94))
| join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)) != join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94))
| join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)) = join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)),join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94))) ),[1,0],$fot(complement(join(complement(complement(X1)),X_94)))]]) ).
cnf(refute_0_336,plain,
( complement(join(meet(top,X1),X_94)) != complement(join(complement(complement(X1)),X_94))
| join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)) = join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)),join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)) = join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94)),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_94)),complement(join(complement(complement(X1)),X_94))) )],[refute_0_333,refute_0_336]) ).
cnf(refute_0_338,plain,
( join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94)) != join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94))
| join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)) != join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94))
| join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)) = join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)))),bind(Y,$fot(join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94)))),bind(Z,$fot(join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94))))]]) ).
cnf(refute_0_339,plain,
( join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94)) != join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94))
| join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)) = join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)),join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)) = join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)),
inference(resolve,[$cnf( $equal(join(complement(join(complement(complement(X1)),X_94)),meet(join(zero,complement(X1)),X_94)),join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94))) )],[refute_0_324,refute_0_339]) ).
cnf(refute_0_341,plain,
( join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)) != complement(X1)
| join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)) != join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94))
| join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)) = complement(X1) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)))),bind(Y,$fot(join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)))),bind(Z,$fot(complement(X1)))]]) ).
cnf(refute_0_342,plain,
( join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)) != complement(X1)
| join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)),join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94))) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(join(complement(complement(X1)),X_94)),meet(complement(X1),X_94)),complement(X1)) )],[refute_0_207,refute_0_342]) ).
cnf(refute_0_344,plain,
( join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)) != complement(X1)
| join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94))
| join(zero,complement(X1)) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94))) ),[1],$fot(complement(X1))]]) ).
cnf(refute_0_345,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94))
| join(zero,complement(X1)) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94)),complement(X1)) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
join(zero,complement(X1)) = complement(X1),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_94)),meet(join(zero,complement(X1)),X_94))) )],[refute_0_200,refute_0_345]) ).
cnf(refute_0_347,plain,
join(zero,complement(complement(X_93))) = complement(complement(X_93)),
inference(subst,[],[refute_0_346:[bind(X1,$fot(complement(X_93)))]]) ).
cnf(refute_0_348,plain,
( X_93 != join(zero,complement(complement(X_93)))
| join(zero,complement(complement(X_93))) != complement(complement(X_93))
| X_93 = complement(complement(X_93)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,complement(complement(X_93))) ),[0],$fot(join(zero,complement(complement(X_93))))]]) ).
cnf(refute_0_349,plain,
( X_93 != join(zero,complement(complement(X_93)))
| X_93 = complement(complement(X_93)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_93))),complement(complement(X_93))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
X_93 = complement(complement(X_93)),
inference(resolve,[$cnf( $equal(X_93,join(zero,complement(complement(X_93)))) )],[refute_0_186,refute_0_349]) ).
cnf(refute_0_351,plain,
( X_93 != complement(complement(X_93))
| complement(complement(X_93)) = X_93 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_93)),bind(Y,$fot(complement(complement(X_93))))]]) ).
cnf(refute_0_352,plain,
complement(complement(X_93)) = X_93,
inference(resolve,[$cnf( $equal(X_93,complement(complement(X_93))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
complement(complement(X1)) = X1,
inference(subst,[],[refute_0_352:[bind(X_93,$fot(X1))]]) ).
cnf(refute_0_354,plain,
( complement(complement(X1)) != X1
| meet(X1,X1) != complement(complement(X1))
| meet(X1,X1) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(complement(X1))) ),[1],$fot(X1)]]) ).
cnf(refute_0_355,plain,
( meet(X1,X1) != complement(complement(X1))
| meet(X1,X1) = X1 ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
meet(X1,X1) = X1,
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(complement(X1))) )],[refute_0_163,refute_0_355]) ).
cnf(refute_0_357,plain,
meet(X_93,X_93) = X_93,
inference(subst,[],[refute_0_356:[bind(X1,$fot(X_93))]]) ).
cnf(refute_0_358,plain,
meet(X_93,complement(complement(X_93))) = meet(X_93,complement(complement(X_93))),
introduced(tautology,[refl,[$fot(meet(X_93,complement(complement(X_93))))]]) ).
cnf(refute_0_359,plain,
( complement(complement(X_93)) != X_93
| meet(X_93,complement(complement(X_93))) != meet(X_93,complement(complement(X_93)))
| meet(X_93,complement(complement(X_93))) = meet(X_93,X_93) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_93,complement(complement(X_93))),meet(X_93,complement(complement(X_93)))) ),[1,1],$fot(X_93)]]) ).
cnf(refute_0_360,plain,
( complement(complement(X_93)) != X_93
| meet(X_93,complement(complement(X_93))) = meet(X_93,X_93) ),
inference(resolve,[$cnf( $equal(meet(X_93,complement(complement(X_93))),meet(X_93,complement(complement(X_93)))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
meet(X_93,complement(complement(X_93))) = meet(X_93,X_93),
inference(resolve,[$cnf( $equal(complement(complement(X_93)),X_93) )],[refute_0_352,refute_0_360]) ).
cnf(refute_0_362,plain,
( meet(X_93,X_93) != X_93
| meet(X_93,complement(complement(X_93))) != meet(X_93,X_93)
| meet(X_93,complement(complement(X_93))) = X_93 ),
inference(subst,[],[refute_0_56:[bind(X,$fot(meet(X_93,complement(complement(X_93))))),bind(Y,$fot(meet(X_93,X_93))),bind(Z,$fot(X_93))]]) ).
cnf(refute_0_363,plain,
( meet(X_93,X_93) != X_93
| meet(X_93,complement(complement(X_93))) = X_93 ),
inference(resolve,[$cnf( $equal(meet(X_93,complement(complement(X_93))),meet(X_93,X_93)) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
meet(X_93,complement(complement(X_93))) = X_93,
inference(resolve,[$cnf( $equal(meet(X_93,X_93),X_93) )],[refute_0_357,refute_0_363]) ).
cnf(refute_0_365,plain,
join(zero,meet(X_93,complement(complement(X_93)))) = join(zero,meet(X_93,complement(complement(X_93)))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_93,complement(complement(X_93)))))]]) ).
cnf(refute_0_366,plain,
( join(zero,meet(X_93,complement(complement(X_93)))) != join(zero,meet(X_93,complement(complement(X_93))))
| meet(X_93,complement(complement(X_93))) != X_93
| join(zero,meet(X_93,complement(complement(X_93)))) = join(zero,X_93) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_93,complement(complement(X_93)))),join(zero,meet(X_93,complement(complement(X_93))))) ),[1,1],$fot(X_93)]]) ).
cnf(refute_0_367,plain,
( meet(X_93,complement(complement(X_93))) != X_93
| join(zero,meet(X_93,complement(complement(X_93)))) = join(zero,X_93) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_93,complement(complement(X_93)))),join(zero,meet(X_93,complement(complement(X_93))))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
join(zero,meet(X_93,complement(complement(X_93)))) = join(zero,X_93),
inference(resolve,[$cnf( $equal(meet(X_93,complement(complement(X_93))),X_93) )],[refute_0_364,refute_0_367]) ).
cnf(refute_0_369,plain,
( X_93 != join(zero,meet(X_93,complement(complement(X_93))))
| join(zero,meet(X_93,complement(complement(X_93)))) != join(zero,X_93)
| X_93 = join(zero,X_93) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(zero,X_93)) ),[0],$fot(join(zero,meet(X_93,complement(complement(X_93)))))]]) ).
cnf(refute_0_370,plain,
( X_93 != join(zero,meet(X_93,complement(complement(X_93))))
| X_93 = join(zero,X_93) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_93,complement(complement(X_93)))),join(zero,X_93)) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
X_93 = join(zero,X_93),
inference(resolve,[$cnf( $equal(X_93,join(zero,meet(X_93,complement(complement(X_93))))) )],[refute_0_106,refute_0_370]) ).
cnf(refute_0_372,plain,
( X_93 != join(zero,X_93)
| join(zero,X_93) = X_93 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_93)),bind(Y,$fot(join(zero,X_93)))]]) ).
cnf(refute_0_373,plain,
join(zero,X_93) = X_93,
inference(resolve,[$cnf( $equal(X_93,join(zero,X_93)) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
join(zero,composition(converse(X_63),complement(composition(X_63,top)))) = composition(converse(X_63),complement(composition(X_63,top))),
inference(subst,[],[refute_0_373:[bind(X_93,$fot(composition(converse(X_63),complement(composition(X_63,top)))))]]) ).
cnf(refute_0_375,plain,
( join(zero,composition(converse(X_63),complement(composition(X_63,top)))) != composition(converse(X_63),complement(composition(X_63,top)))
| join(zero,composition(converse(X_63),complement(composition(X_63,top)))) != zero
| composition(converse(X_63),complement(composition(X_63,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_63),complement(composition(X_63,top)))),zero) ),[0],$fot(composition(converse(X_63),complement(composition(X_63,top))))]]) ).
cnf(refute_0_376,plain,
( join(zero,composition(converse(X_63),complement(composition(X_63,top)))) != zero
| composition(converse(X_63),complement(composition(X_63,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_63),complement(composition(X_63,top)))),composition(converse(X_63),complement(composition(X_63,top)))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
composition(converse(X_63),complement(composition(X_63,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_63),complement(composition(X_63,top)))),zero) )],[refute_0_70,refute_0_376]) ).
cnf(refute_0_378,plain,
composition(converse(composition(X0,X1)),complement(composition(composition(X0,X1),top))) = zero,
inference(subst,[],[refute_0_377:[bind(X_63,$fot(composition(X0,X1)))]]) ).
cnf(refute_0_379,plain,
composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_380,plain,
composition(X0,composition(X1,top)) = composition(composition(X0,X1),top),
inference(subst,[],[refute_0_379:[bind(X2,$fot(top))]]) ).
cnf(refute_0_381,plain,
( composition(X0,composition(X1,top)) != composition(composition(X0,X1),top)
| composition(composition(X0,X1),top) = composition(X0,composition(X1,top)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X0,composition(X1,top)))),bind(Y,$fot(composition(composition(X0,X1),top)))]]) ).
cnf(refute_0_382,plain,
composition(composition(X0,X1),top) = composition(X0,composition(X1,top)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,top)),composition(composition(X0,X1),top)) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
( composition(composition(X0,X1),top) != composition(X0,composition(X1,top))
| composition(converse(composition(X0,X1)),complement(composition(composition(X0,X1),top))) != zero
| composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X0,X1)),complement(composition(composition(X0,X1),top))),zero) ),[0,1,0],$fot(composition(X0,composition(X1,top)))]]) ).
cnf(refute_0_384,plain,
( composition(converse(composition(X0,X1)),complement(composition(composition(X0,X1),top))) != zero
| composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(composition(X0,X1),top),composition(X0,composition(X1,top))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
composition(converse(composition(X0,X1)),complement(composition(X0,composition(X1,top)))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(X0,X1)),complement(composition(composition(X0,X1),top))),zero) )],[refute_0_378,refute_0_384]) ).
cnf(refute_0_386,plain,
composition(converse(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top)),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))) = zero,
inference(subst,[],[refute_0_385:[bind(X0,$fot(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),bind(X1,$fot(top))]]) ).
cnf(refute_0_387,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_388,plain,
composition(join(complement(skolemFOFtoCNF_X1),X1),top) = join(composition(complement(skolemFOFtoCNF_X1),top),composition(X1,top)),
inference(subst,[],[refute_0_387:[bind(X0,$fot(complement(skolemFOFtoCNF_X1))),bind(X2,$fot(top))]]) ).
cnf(refute_0_389,plain,
complement(skolemFOFtoCNF_X1) = join(meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))),
inference(subst,[],[refute_0_88:[bind(X0,$fot(complement(skolemFOFtoCNF_X1))),bind(X1,$fot(composition(complement(skolemFOFtoCNF_X1),top)))]]) ).
cnf(refute_0_390,plain,
X_93 = join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(join(complement(X_93),join(X_44,complement(complement(X_93)))))),
inference(subst,[],[refute_0_88:[bind(X0,$fot(X_93)),bind(X1,$fot(join(X_44,complement(complement(X_93)))))]]) ).
cnf(refute_0_391,plain,
join(X_43,join(complement(X_43),X_44)) = join(top,X_44),
inference(subst,[],[refute_0_249:[bind(X_39,$fot(X_43)),bind(X_41,$fot(X_44))]]) ).
cnf(refute_0_392,plain,
join(X_44,complement(X_43)) = join(complement(X_43),X_44),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_44)),bind(X1,$fot(complement(X_43)))]]) ).
cnf(refute_0_393,plain,
( join(X_44,complement(X_43)) != join(complement(X_43),X_44)
| join(complement(X_43),X_44) = join(X_44,complement(X_43)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_44,complement(X_43)))),bind(Y,$fot(join(complement(X_43),X_44)))]]) ).
cnf(refute_0_394,plain,
join(complement(X_43),X_44) = join(X_44,complement(X_43)),
inference(resolve,[$cnf( $equal(join(X_44,complement(X_43)),join(complement(X_43),X_44)) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
( join(X_43,join(complement(X_43),X_44)) != join(top,X_44)
| join(complement(X_43),X_44) != join(X_44,complement(X_43))
| join(X_43,join(X_44,complement(X_43))) = join(top,X_44) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_43,join(complement(X_43),X_44)),join(top,X_44)) ),[0,1],$fot(join(X_44,complement(X_43)))]]) ).
cnf(refute_0_396,plain,
( join(X_43,join(complement(X_43),X_44)) != join(top,X_44)
| join(X_43,join(X_44,complement(X_43))) = join(top,X_44) ),
inference(resolve,[$cnf( $equal(join(complement(X_43),X_44),join(X_44,complement(X_43))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
join(X_43,join(X_44,complement(X_43))) = join(top,X_44),
inference(resolve,[$cnf( $equal(join(X_43,join(complement(X_43),X_44)),join(top,X_44)) )],[refute_0_391,refute_0_396]) ).
cnf(refute_0_398,plain,
join(X_39,join(meet(top,top),join(zero,meet(top,join(zero,zero))))) = join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero)))),
inference(subst,[],[refute_0_242:[bind(X0,$fot(X_39)),bind(X1,$fot(meet(top,top))),bind(X2,$fot(join(zero,meet(top,join(zero,zero)))))]]) ).
cnf(refute_0_399,plain,
top = join(join(complement(X_29),complement(X_30)),complement(join(complement(X_29),complement(X_30)))),
inference(subst,[],[refute_0_42:[bind(X0,$fot(join(complement(X_29),complement(X_30))))]]) ).
cnf(refute_0_400,plain,
( complement(join(complement(X_29),complement(X_30))) != meet(X_29,X_30)
| top != join(join(complement(X_29),complement(X_30)),complement(join(complement(X_29),complement(X_30))))
| top = join(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_29),complement(X_30)),complement(join(complement(X_29),complement(X_30))))) ),[1,1],$fot(meet(X_29,X_30))]]) ).
cnf(refute_0_401,plain,
( top != join(join(complement(X_29),complement(X_30)),complement(join(complement(X_29),complement(X_30))))
| top = join(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_29),complement(X_30))),meet(X_29,X_30)) )],[refute_0_38,refute_0_400]) ).
cnf(refute_0_402,plain,
top = join(join(complement(X_29),complement(X_30)),meet(X_29,X_30)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_29),complement(X_30)),complement(join(complement(X_29),complement(X_30))))) )],[refute_0_399,refute_0_401]) ).
cnf(refute_0_403,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_404,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_242,refute_0_403]) ).
cnf(refute_0_405,plain,
join(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) = join(complement(X_29),join(complement(X_30),meet(X_29,X_30))),
inference(subst,[],[refute_0_404:[bind(X0,$fot(complement(X_29))),bind(X1,$fot(complement(X_30))),bind(X2,$fot(meet(X_29,X_30)))]]) ).
cnf(refute_0_406,plain,
( join(join(complement(X_29),complement(X_30)),meet(X_29,X_30)) != join(complement(X_29),join(complement(X_30),meet(X_29,X_30)))
| top != join(join(complement(X_29),complement(X_30)),meet(X_29,X_30))
| top = join(complement(X_29),join(complement(X_30),meet(X_29,X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_29),complement(X_30)),meet(X_29,X_30))) ),[1],$fot(join(complement(X_29),join(complement(X_30),meet(X_29,X_30))))]]) ).
cnf(refute_0_407,plain,
( top != join(join(complement(X_29),complement(X_30)),meet(X_29,X_30))
| top = join(complement(X_29),join(complement(X_30),meet(X_29,X_30))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_29),complement(X_30)),meet(X_29,X_30)),join(complement(X_29),join(complement(X_30),meet(X_29,X_30)))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
top = join(complement(X_29),join(complement(X_30),meet(X_29,X_30))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_29),complement(X_30)),meet(X_29,X_30))) )],[refute_0_402,refute_0_407]) ).
cnf(refute_0_409,plain,
top = join(complement(X_35),join(complement(top),meet(X_35,top))),
inference(subst,[],[refute_0_408:[bind(X_29,$fot(X_35)),bind(X_30,$fot(top))]]) ).
cnf(refute_0_410,plain,
( complement(top) != zero
| top != join(complement(X_35),join(complement(top),meet(X_35,top)))
| top = join(complement(X_35),join(zero,meet(X_35,top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_35),join(complement(top),meet(X_35,top)))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_411,plain,
( top != join(complement(X_35),join(complement(top),meet(X_35,top)))
| top = join(complement(X_35),join(zero,meet(X_35,top))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_410]) ).
cnf(refute_0_412,plain,
top = join(complement(X_35),join(zero,meet(X_35,top))),
inference(resolve,[$cnf( $equal(top,join(complement(X_35),join(complement(top),meet(X_35,top)))) )],[refute_0_409,refute_0_411]) ).
cnf(refute_0_413,plain,
top = join(complement(join(zero,zero)),join(zero,meet(join(zero,zero),top))),
inference(subst,[],[refute_0_412:[bind(X_35,$fot(join(zero,zero)))]]) ).
cnf(refute_0_414,plain,
meet(top,top) = complement(join(zero,complement(top))),
inference(subst,[],[refute_0_191:[bind(X1,$fot(top))]]) ).
cnf(refute_0_415,plain,
( complement(top) != zero
| meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_416,plain,
( meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_415]) ).
cnf(refute_0_417,plain,
meet(top,top) = complement(join(zero,zero)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) )],[refute_0_414,refute_0_416]) ).
cnf(refute_0_418,plain,
( meet(top,top) != complement(join(zero,zero))
| complement(join(zero,zero)) = meet(top,top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(join(zero,zero))))]]) ).
cnf(refute_0_419,plain,
complement(join(zero,zero)) = meet(top,top),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
( complement(join(zero,zero)) != meet(top,top)
| top != join(complement(join(zero,zero)),join(zero,meet(join(zero,zero),top)))
| top = join(meet(top,top),join(zero,meet(join(zero,zero),top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(zero,zero)),join(zero,meet(join(zero,zero),top)))) ),[1,0],$fot(meet(top,top))]]) ).
cnf(refute_0_421,plain,
( top != join(complement(join(zero,zero)),join(zero,meet(join(zero,zero),top)))
| top = join(meet(top,top),join(zero,meet(join(zero,zero),top))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),meet(top,top)) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
top = join(meet(top,top),join(zero,meet(join(zero,zero),top))),
inference(resolve,[$cnf( $equal(top,join(complement(join(zero,zero)),join(zero,meet(join(zero,zero),top)))) )],[refute_0_413,refute_0_421]) ).
cnf(refute_0_423,plain,
meet(join(zero,zero),top) = meet(top,join(zero,zero)),
inference(subst,[],[refute_0_236:[bind(X0,$fot(join(zero,zero)))]]) ).
cnf(refute_0_424,plain,
join(zero,meet(join(zero,zero),top)) = join(zero,meet(join(zero,zero),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,zero),top)))]]) ).
cnf(refute_0_425,plain,
( join(zero,meet(join(zero,zero),top)) != join(zero,meet(join(zero,zero),top))
| meet(join(zero,zero),top) != meet(top,join(zero,zero))
| join(zero,meet(join(zero,zero),top)) = join(zero,meet(top,join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,zero),top)),join(zero,meet(join(zero,zero),top))) ),[1,1],$fot(meet(top,join(zero,zero)))]]) ).
cnf(refute_0_426,plain,
( meet(join(zero,zero),top) != meet(top,join(zero,zero))
| join(zero,meet(join(zero,zero),top)) = join(zero,meet(top,join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,zero),top)),join(zero,meet(join(zero,zero),top))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
join(zero,meet(join(zero,zero),top)) = join(zero,meet(top,join(zero,zero))),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),top),meet(top,join(zero,zero))) )],[refute_0_423,refute_0_426]) ).
cnf(refute_0_428,plain,
join(meet(top,top),join(zero,meet(join(zero,zero),top))) = join(meet(top,top),join(zero,meet(join(zero,zero),top))),
introduced(tautology,[refl,[$fot(join(meet(top,top),join(zero,meet(join(zero,zero),top))))]]) ).
cnf(refute_0_429,plain,
( join(meet(top,top),join(zero,meet(join(zero,zero),top))) != join(meet(top,top),join(zero,meet(join(zero,zero),top)))
| join(zero,meet(join(zero,zero),top)) != join(zero,meet(top,join(zero,zero)))
| join(meet(top,top),join(zero,meet(join(zero,zero),top))) = join(meet(top,top),join(zero,meet(top,join(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,top),join(zero,meet(join(zero,zero),top))),join(meet(top,top),join(zero,meet(join(zero,zero),top)))) ),[1,1],$fot(join(zero,meet(top,join(zero,zero))))]]) ).
cnf(refute_0_430,plain,
( join(zero,meet(join(zero,zero),top)) != join(zero,meet(top,join(zero,zero)))
| join(meet(top,top),join(zero,meet(join(zero,zero),top))) = join(meet(top,top),join(zero,meet(top,join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(zero,meet(join(zero,zero),top))),join(meet(top,top),join(zero,meet(join(zero,zero),top)))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
join(meet(top,top),join(zero,meet(join(zero,zero),top))) = join(meet(top,top),join(zero,meet(top,join(zero,zero)))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,zero),top)),join(zero,meet(top,join(zero,zero)))) )],[refute_0_427,refute_0_430]) ).
cnf(refute_0_432,plain,
( join(meet(top,top),join(zero,meet(join(zero,zero),top))) != join(meet(top,top),join(zero,meet(top,join(zero,zero))))
| top != join(meet(top,top),join(zero,meet(join(zero,zero),top)))
| top = join(meet(top,top),join(zero,meet(top,join(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,top),join(zero,meet(join(zero,zero),top)))) ),[1],$fot(join(meet(top,top),join(zero,meet(top,join(zero,zero)))))]]) ).
cnf(refute_0_433,plain,
( top != join(meet(top,top),join(zero,meet(join(zero,zero),top)))
| top = join(meet(top,top),join(zero,meet(top,join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(zero,meet(join(zero,zero),top))),join(meet(top,top),join(zero,meet(top,join(zero,zero))))) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
top = join(meet(top,top),join(zero,meet(top,join(zero,zero)))),
inference(resolve,[$cnf( $equal(top,join(meet(top,top),join(zero,meet(join(zero,zero),top)))) )],[refute_0_422,refute_0_433]) ).
cnf(refute_0_435,plain,
( top != join(meet(top,top),join(zero,meet(top,join(zero,zero))))
| join(meet(top,top),join(zero,meet(top,join(zero,zero)))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(meet(top,top),join(zero,meet(top,join(zero,zero))))))]]) ).
cnf(refute_0_436,plain,
join(meet(top,top),join(zero,meet(top,join(zero,zero)))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(top,top),join(zero,meet(top,join(zero,zero))))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
( join(X_39,join(meet(top,top),join(zero,meet(top,join(zero,zero))))) != join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero))))
| join(meet(top,top),join(zero,meet(top,join(zero,zero)))) != top
| join(X_39,top) = join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_39,join(meet(top,top),join(zero,meet(top,join(zero,zero))))),join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_438,plain,
( join(X_39,join(meet(top,top),join(zero,meet(top,join(zero,zero))))) != join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero))))
| join(X_39,top) = join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(zero,meet(top,join(zero,zero)))),top) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
join(X_39,top) = join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero)))),
inference(resolve,[$cnf( $equal(join(X_39,join(meet(top,top),join(zero,meet(top,join(zero,zero))))),join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero))))) )],[refute_0_398,refute_0_438]) ).
cnf(refute_0_440,plain,
join(X0,join(X_39,X_40)) = join(join(X_39,X_40),X0),
inference(subst,[],[refute_0_1:[bind(X1,$fot(join(X_39,X_40)))]]) ).
cnf(refute_0_441,plain,
join(X_39,join(X_40,X0)) = join(join(X_39,X_40),X0),
inference(subst,[],[refute_0_242:[bind(X0,$fot(X_39)),bind(X1,$fot(X_40)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_442,plain,
( join(X_39,join(X_40,X0)) != join(join(X_39,X_40),X0)
| join(join(X_39,X_40),X0) = join(X_39,join(X_40,X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_39,join(X_40,X0)))),bind(Y,$fot(join(join(X_39,X_40),X0)))]]) ).
cnf(refute_0_443,plain,
join(join(X_39,X_40),X0) = join(X_39,join(X_40,X0)),
inference(resolve,[$cnf( $equal(join(X_39,join(X_40,X0)),join(join(X_39,X_40),X0)) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
( join(X0,join(X_39,X_40)) != join(join(X_39,X_40),X0)
| join(join(X_39,X_40),X0) != join(X_39,join(X_40,X0))
| join(X0,join(X_39,X_40)) = join(X_39,join(X_40,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_39,X_40)),join(X_39,join(X_40,X0))) ),[0],$fot(join(join(X_39,X_40),X0))]]) ).
cnf(refute_0_445,plain,
( join(X0,join(X_39,X_40)) != join(join(X_39,X_40),X0)
| join(X0,join(X_39,X_40)) = join(X_39,join(X_40,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X_39,X_40),X0),join(X_39,join(X_40,X0))) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
join(X0,join(X_39,X_40)) = join(X_39,join(X_40,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_39,X_40)),join(join(X_39,X_40),X0)) )],[refute_0_440,refute_0_445]) ).
cnf(refute_0_447,plain,
( join(X0,join(X_39,X_40)) != join(X_39,join(X_40,X0))
| join(X_39,join(X_40,X0)) = join(X0,join(X_39,X_40)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X_39,X_40)))),bind(Y,$fot(join(X_39,join(X_40,X0))))]]) ).
cnf(refute_0_448,plain,
join(X_39,join(X_40,X0)) = join(X0,join(X_39,X_40)),
inference(resolve,[$cnf( $equal(join(X0,join(X_39,X_40)),join(X_39,join(X_40,X0))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
join(meet(top,join(zero,zero)),join(X_39,meet(top,top))) = join(meet(top,top),join(meet(top,join(zero,zero)),X_39)),
inference(subst,[],[refute_0_448:[bind(X0,$fot(meet(top,top))),bind(X_39,$fot(meet(top,join(zero,zero)))),bind(X_40,$fot(X_39))]]) ).
cnf(refute_0_450,plain,
join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top)))) = join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top)))),
introduced(tautology,[refl,[$fot(join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top)))))]]) ).
cnf(refute_0_451,plain,
( join(meet(top,join(zero,zero)),join(X_39,meet(top,top))) != join(meet(top,top),join(meet(top,join(zero,zero)),X_39))
| join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top)))) != join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top))))
| join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top)))),join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top))))) ),[1,1],$fot(join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))]]) ).
cnf(refute_0_452,plain,
( join(meet(top,join(zero,zero)),join(X_39,meet(top,top))) != join(meet(top,top),join(meet(top,join(zero,zero)),X_39))
| join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top)))),join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top))))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),join(X_39,meet(top,top))),join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) )],[refute_0_449,refute_0_452]) ).
cnf(refute_0_454,plain,
join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero)))) = join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top)))),
inference(subst,[],[refute_0_446:[bind(X0,$fot(join(X_39,meet(top,top)))),bind(X_39,$fot(zero)),bind(X_40,$fot(meet(top,join(zero,zero))))]]) ).
cnf(refute_0_455,plain,
( join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero)))) != join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top))))
| join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top)))) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))
| join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero)))))),bind(Y,$fot(join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top)))))),bind(Z,$fot(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))))]]) ).
cnf(refute_0_456,plain,
( join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top)))) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))
| join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) ),
inference(resolve,[$cnf( $equal(join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero)))),join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top))))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,zero)),join(X_39,meet(top,top)))),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))) )],[refute_0_453,refute_0_456]) ).
cnf(refute_0_458,plain,
( join(X_39,top) != join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero))))
| join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero)))) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))
| join(X_39,top) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_39,top),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))) ),[0],$fot(join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero)))))]]) ).
cnf(refute_0_459,plain,
( join(X_39,top) != join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero))))
| join(X_39,top) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) ),
inference(resolve,[$cnf( $equal(join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero)))),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
join(X_39,top) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))),
inference(resolve,[$cnf( $equal(join(X_39,top),join(join(X_39,meet(top,top)),join(zero,meet(top,join(zero,zero))))) )],[refute_0_439,refute_0_459]) ).
cnf(refute_0_461,plain,
join(X_39,top) = top,
inference(subst,[],[refute_0_270:[bind(X_43,$fot(X_39))]]) ).
cnf(refute_0_462,plain,
( join(X_39,top) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))
| join(X_39,top) != top
| top = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_39,top),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))) ),[0],$fot(top)]]) ).
cnf(refute_0_463,plain,
( join(X_39,top) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))
| top = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) ),
inference(resolve,[$cnf( $equal(join(X_39,top),top) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
join(top,join(zero,X_41)) = join(join(top,zero),X_41),
inference(subst,[],[refute_0_242:[bind(X0,$fot(top)),bind(X1,$fot(zero)),bind(X2,$fot(X_41))]]) ).
cnf(refute_0_465,plain,
top = join(top,complement(top)),
inference(subst,[],[refute_0_42:[bind(X0,$fot(top))]]) ).
cnf(refute_0_466,plain,
( complement(top) != zero
| top != join(top,complement(top))
| top = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_467,plain,
( top != join(top,complement(top))
| top = join(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_466]) ).
cnf(refute_0_468,plain,
top = join(top,zero),
inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_465,refute_0_467]) ).
cnf(refute_0_469,plain,
( top != join(top,zero)
| join(top,zero) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).
cnf(refute_0_470,plain,
join(top,zero) = top,
inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
( join(top,join(zero,X_41)) != join(join(top,zero),X_41)
| join(top,zero) != top
| join(top,join(zero,X_41)) = join(top,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_41)),join(join(top,zero),X_41)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_472,plain,
( join(top,join(zero,X_41)) != join(join(top,zero),X_41)
| join(top,join(zero,X_41)) = join(top,X_41) ),
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
join(top,join(zero,X_41)) = join(top,X_41),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_41)),join(join(top,zero),X_41)) )],[refute_0_464,refute_0_472]) ).
cnf(refute_0_474,plain,
join(top,join(zero,X_39)) = join(top,X_39),
inference(subst,[],[refute_0_473:[bind(X_41,$fot(X_39))]]) ).
cnf(refute_0_475,plain,
join(X_39,join(X_40,X_41)) = join(join(X_39,X_40),X_41),
inference(subst,[],[refute_0_242:[bind(X0,$fot(X_39)),bind(X1,$fot(X_40)),bind(X2,$fot(X_41))]]) ).
cnf(refute_0_476,plain,
join(X_40,X_39) = join(X_39,X_40),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_40)),bind(X1,$fot(X_39))]]) ).
cnf(refute_0_477,plain,
( join(X_40,X_39) != join(X_39,X_40)
| join(X_39,X_40) = join(X_40,X_39) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_40,X_39))),bind(Y,$fot(join(X_39,X_40)))]]) ).
cnf(refute_0_478,plain,
join(X_39,X_40) = join(X_40,X_39),
inference(resolve,[$cnf( $equal(join(X_40,X_39),join(X_39,X_40)) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
( join(X_39,X_40) != join(X_40,X_39)
| join(X_39,join(X_40,X_41)) != join(join(X_39,X_40),X_41)
| join(X_39,join(X_40,X_41)) = join(join(X_40,X_39),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_39,join(X_40,X_41)),join(join(X_39,X_40),X_41)) ),[1,0],$fot(join(X_40,X_39))]]) ).
cnf(refute_0_480,plain,
( join(X_39,join(X_40,X_41)) != join(join(X_39,X_40),X_41)
| join(X_39,join(X_40,X_41)) = join(join(X_40,X_39),X_41) ),
inference(resolve,[$cnf( $equal(join(X_39,X_40),join(X_40,X_39)) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
join(X_39,join(X_40,X_41)) = join(join(X_40,X_39),X_41),
inference(resolve,[$cnf( $equal(join(X_39,join(X_40,X_41)),join(join(X_39,X_40),X_41)) )],[refute_0_475,refute_0_480]) ).
cnf(refute_0_482,plain,
join(join(X_40,X_39),X_41) = join(X_40,join(X_39,X_41)),
inference(subst,[],[refute_0_404:[bind(X0,$fot(X_40)),bind(X1,$fot(X_39)),bind(X2,$fot(X_41))]]) ).
cnf(refute_0_483,plain,
( join(X_39,join(X_40,X_41)) != join(join(X_40,X_39),X_41)
| join(join(X_40,X_39),X_41) != join(X_40,join(X_39,X_41))
| join(X_39,join(X_40,X_41)) = join(X_40,join(X_39,X_41)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_39,join(X_40,X_41)),join(X_40,join(X_39,X_41))) ),[0],$fot(join(join(X_40,X_39),X_41))]]) ).
cnf(refute_0_484,plain,
( join(X_39,join(X_40,X_41)) != join(join(X_40,X_39),X_41)
| join(X_39,join(X_40,X_41)) = join(X_40,join(X_39,X_41)) ),
inference(resolve,[$cnf( $equal(join(join(X_40,X_39),X_41),join(X_40,join(X_39,X_41))) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
join(X_39,join(X_40,X_41)) = join(X_40,join(X_39,X_41)),
inference(resolve,[$cnf( $equal(join(X_39,join(X_40,X_41)),join(join(X_40,X_39),X_41)) )],[refute_0_481,refute_0_484]) ).
cnf(refute_0_486,plain,
( join(X_39,join(X_40,X_41)) != join(X_40,join(X_39,X_41))
| join(X_40,join(X_39,X_41)) = join(X_39,join(X_40,X_41)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_39,join(X_40,X_41)))),bind(Y,$fot(join(X_40,join(X_39,X_41))))]]) ).
cnf(refute_0_487,plain,
join(X_40,join(X_39,X_41)) = join(X_39,join(X_40,X_41)),
inference(resolve,[$cnf( $equal(join(X_39,join(X_40,X_41)),join(X_40,join(X_39,X_41))) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
join(zero,join(top,X_39)) = join(top,join(zero,X_39)),
inference(subst,[],[refute_0_487:[bind(X_39,$fot(top)),bind(X_40,$fot(zero)),bind(X_41,$fot(X_39))]]) ).
cnf(refute_0_489,plain,
( join(top,join(zero,X_39)) != join(top,X_39)
| join(zero,join(top,X_39)) != join(top,join(zero,X_39))
| join(zero,join(top,X_39)) = join(top,X_39) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(zero,join(top,X_39)))),bind(Y,$fot(join(top,join(zero,X_39)))),bind(Z,$fot(join(top,X_39)))]]) ).
cnf(refute_0_490,plain,
( join(top,join(zero,X_39)) != join(top,X_39)
| join(zero,join(top,X_39)) = join(top,X_39) ),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_39)),join(top,join(zero,X_39))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
join(zero,join(top,X_39)) = join(top,X_39),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_39)),join(top,X_39)) )],[refute_0_474,refute_0_490]) ).
cnf(refute_0_492,plain,
join(zero,join(complement(zero),X_39)) = join(top,X_39),
inference(subst,[],[refute_0_249:[bind(X_39,$fot(zero)),bind(X_41,$fot(X_39))]]) ).
cnf(refute_0_493,plain,
join(complement(zero),join(zero,X_39)) = join(zero,join(complement(zero),X_39)),
inference(subst,[],[refute_0_487:[bind(X_39,$fot(zero)),bind(X_40,$fot(complement(zero))),bind(X_41,$fot(X_39))]]) ).
cnf(refute_0_494,plain,
( join(complement(zero),join(zero,X_39)) != join(zero,join(complement(zero),X_39))
| join(zero,join(complement(zero),X_39)) != join(top,X_39)
| join(complement(zero),join(zero,X_39)) = join(top,X_39) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(zero),join(zero,X_39)))),bind(Y,$fot(join(zero,join(complement(zero),X_39)))),bind(Z,$fot(join(top,X_39)))]]) ).
cnf(refute_0_495,plain,
( join(zero,join(complement(zero),X_39)) != join(top,X_39)
| join(complement(zero),join(zero,X_39)) = join(top,X_39) ),
inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,X_39)),join(zero,join(complement(zero),X_39))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
join(complement(zero),join(zero,X_39)) = join(top,X_39),
inference(resolve,[$cnf( $equal(join(zero,join(complement(zero),X_39)),join(top,X_39)) )],[refute_0_492,refute_0_495]) ).
cnf(refute_0_497,plain,
zero = meet(top,complement(top)),
inference(subst,[],[refute_0_33:[bind(X0,$fot(top))]]) ).
cnf(refute_0_498,plain,
( complement(top) != zero
| zero != meet(top,complement(top))
| zero = meet(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_499,plain,
( zero != meet(top,complement(top))
| zero = meet(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_498]) ).
cnf(refute_0_500,plain,
zero = meet(top,zero),
inference(resolve,[$cnf( $equal(zero,meet(top,complement(top))) )],[refute_0_497,refute_0_499]) ).
cnf(refute_0_501,plain,
( zero != meet(top,zero)
| meet(top,zero) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(top,zero)))]]) ).
cnf(refute_0_502,plain,
meet(top,zero) = zero,
inference(resolve,[$cnf( $equal(zero,meet(top,zero)) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
join(complement(top),complement(top)) = complement(top),
inference(subst,[],[refute_0_159:[bind(X_64,$fot(top))]]) ).
cnf(refute_0_504,plain,
( complement(top) != zero
| join(complement(top),complement(top)) != complement(top)
| join(complement(top),zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_505,plain,
( join(complement(top),complement(top)) != complement(top)
| join(complement(top),zero) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_504]) ).
cnf(refute_0_506,plain,
join(complement(top),zero) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) )],[refute_0_503,refute_0_505]) ).
cnf(refute_0_507,plain,
join(zero,complement(top)) = join(zero,complement(top)),
introduced(tautology,[refl,[$fot(join(zero,complement(top)))]]) ).
cnf(refute_0_508,plain,
( complement(top) != zero
| join(zero,complement(top)) != join(zero,complement(top))
| join(zero,complement(top)) = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_509,plain,
( complement(top) != zero
| join(zero,complement(top)) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
join(zero,complement(top)) = join(zero,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_509]) ).
cnf(refute_0_511,plain,
join(complement(top),zero) = join(zero,complement(top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(top)))]]) ).
cnf(refute_0_512,plain,
( join(complement(top),zero) != join(zero,complement(top))
| join(zero,complement(top)) != join(zero,zero)
| join(complement(top),zero) = join(zero,zero) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(top),zero))),bind(Y,$fot(join(zero,complement(top)))),bind(Z,$fot(join(zero,zero)))]]) ).
cnf(refute_0_513,plain,
( join(zero,complement(top)) != join(zero,zero)
| join(complement(top),zero) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,complement(top))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
join(complement(top),zero) = join(zero,zero),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,zero)) )],[refute_0_510,refute_0_513]) ).
cnf(refute_0_515,plain,
( join(complement(top),zero) != complement(top)
| join(complement(top),zero) != join(zero,zero)
| join(zero,zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),zero),complement(top)) ),[0],$fot(join(zero,zero))]]) ).
cnf(refute_0_516,plain,
( join(complement(top),zero) != complement(top)
| join(zero,zero) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,zero)) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
( complement(top) != zero
| join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_518,plain,
( join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_517]) ).
cnf(refute_0_519,plain,
( join(complement(top),zero) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,zero),complement(top)) )],[refute_0_516,refute_0_518]) ).
cnf(refute_0_520,plain,
join(zero,zero) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),zero),complement(top)) )],[refute_0_506,refute_0_519]) ).
cnf(refute_0_521,plain,
meet(top,join(zero,zero)) = meet(top,join(zero,zero)),
introduced(tautology,[refl,[$fot(meet(top,join(zero,zero)))]]) ).
cnf(refute_0_522,plain,
( join(zero,zero) != zero
| meet(top,join(zero,zero)) != meet(top,join(zero,zero))
| meet(top,join(zero,zero)) = meet(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,zero)),meet(top,join(zero,zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_523,plain,
( join(zero,zero) != zero
| meet(top,join(zero,zero)) = meet(top,zero) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),meet(top,join(zero,zero))) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
meet(top,join(zero,zero)) = meet(top,zero),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_520,refute_0_523]) ).
cnf(refute_0_525,plain,
( meet(top,join(zero,zero)) != meet(top,zero)
| meet(top,zero) != zero
| meet(top,join(zero,zero)) = zero ),
inference(subst,[],[refute_0_56:[bind(X,$fot(meet(top,join(zero,zero)))),bind(Y,$fot(meet(top,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_526,plain,
( meet(top,zero) != zero
| meet(top,join(zero,zero)) = zero ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),meet(top,zero)) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
meet(top,join(zero,zero)) = zero,
inference(resolve,[$cnf( $equal(meet(top,zero),zero) )],[refute_0_502,refute_0_526]) ).
cnf(refute_0_528,plain,
join(meet(top,join(zero,zero)),X_39) = join(meet(top,join(zero,zero)),X_39),
introduced(tautology,[refl,[$fot(join(meet(top,join(zero,zero)),X_39))]]) ).
cnf(refute_0_529,plain,
( join(meet(top,join(zero,zero)),X_39) != join(meet(top,join(zero,zero)),X_39)
| meet(top,join(zero,zero)) != zero
| join(meet(top,join(zero,zero)),X_39) = join(zero,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,join(zero,zero)),X_39),join(meet(top,join(zero,zero)),X_39)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_530,plain,
( meet(top,join(zero,zero)) != zero
| join(meet(top,join(zero,zero)),X_39) = join(zero,X_39) ),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),X_39),join(meet(top,join(zero,zero)),X_39)) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
join(meet(top,join(zero,zero)),X_39) = join(zero,X_39),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),zero) )],[refute_0_527,refute_0_530]) ).
cnf(refute_0_532,plain,
join(complement(zero),join(meet(top,join(zero,zero)),X_39)) = join(complement(zero),join(meet(top,join(zero,zero)),X_39)),
introduced(tautology,[refl,[$fot(join(complement(zero),join(meet(top,join(zero,zero)),X_39)))]]) ).
cnf(refute_0_533,plain,
( join(complement(zero),join(meet(top,join(zero,zero)),X_39)) != join(complement(zero),join(meet(top,join(zero,zero)),X_39))
| join(meet(top,join(zero,zero)),X_39) != join(zero,X_39)
| join(complement(zero),join(meet(top,join(zero,zero)),X_39)) = join(complement(zero),join(zero,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),join(meet(top,join(zero,zero)),X_39)),join(complement(zero),join(meet(top,join(zero,zero)),X_39))) ),[1,1],$fot(join(zero,X_39))]]) ).
cnf(refute_0_534,plain,
( join(meet(top,join(zero,zero)),X_39) != join(zero,X_39)
| join(complement(zero),join(meet(top,join(zero,zero)),X_39)) = join(complement(zero),join(zero,X_39)) ),
inference(resolve,[$cnf( $equal(join(complement(zero),join(meet(top,join(zero,zero)),X_39)),join(complement(zero),join(meet(top,join(zero,zero)),X_39))) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
join(complement(zero),join(meet(top,join(zero,zero)),X_39)) = join(complement(zero),join(zero,X_39)),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),X_39),join(zero,X_39)) )],[refute_0_531,refute_0_534]) ).
cnf(refute_0_536,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_0_537,plain,
( complement(complement(top)) != complement(complement(top))
| complement(top) != zero
| complement(complement(top)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),complement(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_538,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_538]) ).
cnf(refute_0_540,plain,
meet(top,top) = complement(complement(top)),
inference(subst,[],[refute_0_163:[bind(X1,$fot(top))]]) ).
cnf(refute_0_541,plain,
( complement(complement(top)) != complement(zero)
| meet(top,top) != complement(complement(top))
| meet(top,top) = complement(zero) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(complement(top)))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_0_542,plain,
( complement(complement(top)) != complement(zero)
| meet(top,top) = complement(zero) ),
inference(resolve,[$cnf( $equal(meet(top,top),complement(complement(top))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
meet(top,top) = complement(zero),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_539,refute_0_542]) ).
cnf(refute_0_544,plain,
join(meet(top,top),join(meet(top,join(zero,zero)),X_39)) = join(meet(top,top),join(meet(top,join(zero,zero)),X_39)),
introduced(tautology,[refl,[$fot(join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))]]) ).
cnf(refute_0_545,plain,
( join(meet(top,top),join(meet(top,join(zero,zero)),X_39)) != join(meet(top,top),join(meet(top,join(zero,zero)),X_39))
| meet(top,top) != complement(zero)
| join(meet(top,top),join(meet(top,join(zero,zero)),X_39)) = join(complement(zero),join(meet(top,join(zero,zero)),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),X_39)),join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) ),[1,0],$fot(complement(zero))]]) ).
cnf(refute_0_546,plain,
( meet(top,top) != complement(zero)
| join(meet(top,top),join(meet(top,join(zero,zero)),X_39)) = join(complement(zero),join(meet(top,join(zero,zero)),X_39)) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),X_39)),join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
join(meet(top,top),join(meet(top,join(zero,zero)),X_39)) = join(complement(zero),join(meet(top,join(zero,zero)),X_39)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(zero)) )],[refute_0_543,refute_0_546]) ).
cnf(refute_0_548,plain,
( join(complement(zero),join(meet(top,join(zero,zero)),X_39)) != join(complement(zero),join(zero,X_39))
| join(meet(top,top),join(meet(top,join(zero,zero)),X_39)) != join(complement(zero),join(meet(top,join(zero,zero)),X_39))
| join(meet(top,top),join(meet(top,join(zero,zero)),X_39)) = join(complement(zero),join(zero,X_39)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))),bind(Y,$fot(join(complement(zero),join(meet(top,join(zero,zero)),X_39)))),bind(Z,$fot(join(complement(zero),join(zero,X_39))))]]) ).
cnf(refute_0_549,plain,
( join(complement(zero),join(meet(top,join(zero,zero)),X_39)) != join(complement(zero),join(zero,X_39))
| join(meet(top,top),join(meet(top,join(zero,zero)),X_39)) = join(complement(zero),join(zero,X_39)) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),X_39)),join(complement(zero),join(meet(top,join(zero,zero)),X_39))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
join(meet(top,top),join(meet(top,join(zero,zero)),X_39)) = join(complement(zero),join(zero,X_39)),
inference(resolve,[$cnf( $equal(join(complement(zero),join(meet(top,join(zero,zero)),X_39)),join(complement(zero),join(zero,X_39))) )],[refute_0_535,refute_0_549]) ).
cnf(refute_0_551,plain,
( join(complement(zero),join(zero,X_39)) != join(top,X_39)
| join(meet(top,top),join(meet(top,join(zero,zero)),X_39)) != join(complement(zero),join(zero,X_39))
| join(meet(top,top),join(meet(top,join(zero,zero)),X_39)) = join(top,X_39) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))),bind(Y,$fot(join(complement(zero),join(zero,X_39)))),bind(Z,$fot(join(top,X_39)))]]) ).
cnf(refute_0_552,plain,
( join(complement(zero),join(zero,X_39)) != join(top,X_39)
| join(meet(top,top),join(meet(top,join(zero,zero)),X_39)) = join(top,X_39) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),X_39)),join(complement(zero),join(zero,X_39))) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
join(meet(top,top),join(meet(top,join(zero,zero)),X_39)) = join(top,X_39),
inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,X_39)),join(top,X_39)) )],[refute_0_496,refute_0_552]) ).
cnf(refute_0_554,plain,
join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))),
introduced(tautology,[refl,[$fot(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))))]]) ).
cnf(refute_0_555,plain,
( join(meet(top,top),join(meet(top,join(zero,zero)),X_39)) != join(top,X_39)
| join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))
| join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) = join(zero,join(top,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))) ),[1,1],$fot(join(top,X_39))]]) ).
cnf(refute_0_556,plain,
( join(meet(top,top),join(meet(top,join(zero,zero)),X_39)) != join(top,X_39)
| join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) = join(zero,join(top,X_39)) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) = join(zero,join(top,X_39)),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),X_39)),join(top,X_39)) )],[refute_0_553,refute_0_556]) ).
cnf(refute_0_558,plain,
( join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) != join(zero,join(top,X_39))
| join(zero,join(top,X_39)) != join(top,X_39)
| join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) = join(top,X_39) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))))),bind(Y,$fot(join(zero,join(top,X_39)))),bind(Z,$fot(join(top,X_39)))]]) ).
cnf(refute_0_559,plain,
( join(zero,join(top,X_39)) != join(top,X_39)
| join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) = join(top,X_39) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))),join(zero,join(top,X_39))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) = join(top,X_39),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_39)),join(top,X_39)) )],[refute_0_491,refute_0_559]) ).
cnf(refute_0_561,plain,
( join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))) != join(top,X_39)
| top != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))
| top = join(top,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))) ),[1],$fot(join(top,X_39))]]) ).
cnf(refute_0_562,plain,
( top != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))
| top = join(top,X_39) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39))),join(top,X_39)) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
( join(X_39,top) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))
| top = join(top,X_39) ),
inference(resolve,[$cnf( $equal(top,join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))) )],[refute_0_463,refute_0_562]) ).
cnf(refute_0_564,plain,
top = join(top,X_39),
inference(resolve,[$cnf( $equal(join(X_39,top),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_39)))) )],[refute_0_460,refute_0_563]) ).
cnf(refute_0_565,plain,
( top != join(top,X_39)
| join(top,X_39) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_39)))]]) ).
cnf(refute_0_566,plain,
join(top,X_39) = top,
inference(resolve,[$cnf( $equal(top,join(top,X_39)) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
join(top,X_44) = top,
inference(subst,[],[refute_0_566:[bind(X_39,$fot(X_44))]]) ).
cnf(refute_0_568,plain,
( join(X_43,join(X_44,complement(X_43))) != join(top,X_44)
| join(top,X_44) != top
| join(X_43,join(X_44,complement(X_43))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_43,join(X_44,complement(X_43))),top) ),[0],$fot(join(top,X_44))]]) ).
cnf(refute_0_569,plain,
( join(X_43,join(X_44,complement(X_43))) != join(top,X_44)
| join(X_43,join(X_44,complement(X_43))) = top ),
inference(resolve,[$cnf( $equal(join(top,X_44),top) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
join(X_43,join(X_44,complement(X_43))) = top,
inference(resolve,[$cnf( $equal(join(X_43,join(X_44,complement(X_43))),join(top,X_44)) )],[refute_0_397,refute_0_569]) ).
cnf(refute_0_571,plain,
join(complement(X_93),join(X_44,complement(complement(X_93)))) = top,
inference(subst,[],[refute_0_570:[bind(X_43,$fot(complement(X_93)))]]) ).
cnf(refute_0_572,plain,
( X_93 != join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(join(complement(X_93),join(X_44,complement(complement(X_93))))))
| join(complement(X_93),join(X_44,complement(complement(X_93)))) != top
| X_93 = join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(join(complement(X_93),join(X_44,complement(complement(X_93))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_573,plain,
( X_93 != join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(join(complement(X_93),join(X_44,complement(complement(X_93))))))
| X_93 = join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_93),join(X_44,complement(complement(X_93)))),top) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
X_93 = join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(top)),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(join(complement(X_93),join(X_44,complement(complement(X_93))))))) )],[refute_0_390,refute_0_573]) ).
cnf(refute_0_575,plain,
join(complement(top),meet(X_93,join(X_44,complement(complement(X_93))))) = join(complement(top),meet(X_93,join(X_44,complement(complement(X_93))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_93,join(X_44,complement(complement(X_93))))))]]) ).
cnf(refute_0_576,plain,
( complement(top) != zero
| join(complement(top),meet(X_93,join(X_44,complement(complement(X_93))))) != join(complement(top),meet(X_93,join(X_44,complement(complement(X_93)))))
| join(complement(top),meet(X_93,join(X_44,complement(complement(X_93))))) = join(zero,meet(X_93,join(X_44,complement(complement(X_93))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_93,join(X_44,complement(complement(X_93))))),join(complement(top),meet(X_93,join(X_44,complement(complement(X_93)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_577,plain,
( complement(top) != zero
| join(complement(top),meet(X_93,join(X_44,complement(complement(X_93))))) = join(zero,meet(X_93,join(X_44,complement(complement(X_93))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_93,join(X_44,complement(complement(X_93))))),join(complement(top),meet(X_93,join(X_44,complement(complement(X_93)))))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
join(complement(top),meet(X_93,join(X_44,complement(complement(X_93))))) = join(zero,meet(X_93,join(X_44,complement(complement(X_93))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_577]) ).
cnf(refute_0_579,plain,
join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(top)) = join(complement(top),meet(X_93,join(X_44,complement(complement(X_93))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_93,join(X_44,complement(complement(X_93))))))]]) ).
cnf(refute_0_580,plain,
( join(complement(top),meet(X_93,join(X_44,complement(complement(X_93))))) != join(zero,meet(X_93,join(X_44,complement(complement(X_93)))))
| join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(top)) != join(complement(top),meet(X_93,join(X_44,complement(complement(X_93)))))
| join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(top)) = join(zero,meet(X_93,join(X_44,complement(complement(X_93))))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_93,join(X_44,complement(complement(X_93))))))),bind(Z,$fot(join(zero,meet(X_93,join(X_44,complement(complement(X_93)))))))]]) ).
cnf(refute_0_581,plain,
( join(complement(top),meet(X_93,join(X_44,complement(complement(X_93))))) != join(zero,meet(X_93,join(X_44,complement(complement(X_93)))))
| join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(top)) = join(zero,meet(X_93,join(X_44,complement(complement(X_93))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(top)),join(complement(top),meet(X_93,join(X_44,complement(complement(X_93)))))) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(top)) = join(zero,meet(X_93,join(X_44,complement(complement(X_93))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_93,join(X_44,complement(complement(X_93))))),join(zero,meet(X_93,join(X_44,complement(complement(X_93)))))) )],[refute_0_578,refute_0_581]) ).
cnf(refute_0_583,plain,
( X_93 != join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(top))
| join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(top)) != join(zero,meet(X_93,join(X_44,complement(complement(X_93)))))
| X_93 = join(zero,meet(X_93,join(X_44,complement(complement(X_93))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(zero,meet(X_93,join(X_44,complement(complement(X_93)))))) ),[0],$fot(join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(top)))]]) ).
cnf(refute_0_584,plain,
( X_93 != join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(top))
| X_93 = join(zero,meet(X_93,join(X_44,complement(complement(X_93))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(top)),join(zero,meet(X_93,join(X_44,complement(complement(X_93)))))) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
X_93 = join(zero,meet(X_93,join(X_44,complement(complement(X_93))))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,join(X_44,complement(complement(X_93)))),complement(top))) )],[refute_0_574,refute_0_584]) ).
cnf(refute_0_586,plain,
join(X_44,complement(complement(X_93))) = join(X_44,complement(complement(X_93))),
introduced(tautology,[refl,[$fot(join(X_44,complement(complement(X_93))))]]) ).
cnf(refute_0_587,plain,
( complement(complement(X_93)) != X_93
| join(X_44,complement(complement(X_93))) != join(X_44,complement(complement(X_93)))
| join(X_44,complement(complement(X_93))) = join(X_44,X_93) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_44,complement(complement(X_93))),join(X_44,complement(complement(X_93)))) ),[1,1],$fot(X_93)]]) ).
cnf(refute_0_588,plain,
( complement(complement(X_93)) != X_93
| join(X_44,complement(complement(X_93))) = join(X_44,X_93) ),
inference(resolve,[$cnf( $equal(join(X_44,complement(complement(X_93))),join(X_44,complement(complement(X_93)))) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
join(X_44,complement(complement(X_93))) = join(X_44,X_93),
inference(resolve,[$cnf( $equal(complement(complement(X_93)),X_93) )],[refute_0_352,refute_0_588]) ).
cnf(refute_0_590,plain,
meet(X_93,join(X_44,complement(complement(X_93)))) = meet(X_93,join(X_44,complement(complement(X_93)))),
introduced(tautology,[refl,[$fot(meet(X_93,join(X_44,complement(complement(X_93)))))]]) ).
cnf(refute_0_591,plain,
( join(X_44,complement(complement(X_93))) != join(X_44,X_93)
| meet(X_93,join(X_44,complement(complement(X_93)))) != meet(X_93,join(X_44,complement(complement(X_93))))
| meet(X_93,join(X_44,complement(complement(X_93)))) = meet(X_93,join(X_44,X_93)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_93,join(X_44,complement(complement(X_93)))),meet(X_93,join(X_44,complement(complement(X_93))))) ),[1,1],$fot(join(X_44,X_93))]]) ).
cnf(refute_0_592,plain,
( join(X_44,complement(complement(X_93))) != join(X_44,X_93)
| meet(X_93,join(X_44,complement(complement(X_93)))) = meet(X_93,join(X_44,X_93)) ),
inference(resolve,[$cnf( $equal(meet(X_93,join(X_44,complement(complement(X_93)))),meet(X_93,join(X_44,complement(complement(X_93))))) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
meet(X_93,join(X_44,complement(complement(X_93)))) = meet(X_93,join(X_44,X_93)),
inference(resolve,[$cnf( $equal(join(X_44,complement(complement(X_93))),join(X_44,X_93)) )],[refute_0_589,refute_0_592]) ).
cnf(refute_0_594,plain,
join(zero,meet(X_93,join(X_44,complement(complement(X_93))))) = meet(X_93,join(X_44,complement(complement(X_93)))),
inference(subst,[],[refute_0_373:[bind(X_93,$fot(meet(X_93,join(X_44,complement(complement(X_93))))))]]) ).
cnf(refute_0_595,plain,
( join(zero,meet(X_93,join(X_44,complement(complement(X_93))))) != meet(X_93,join(X_44,complement(complement(X_93))))
| meet(X_93,join(X_44,complement(complement(X_93)))) != meet(X_93,join(X_44,X_93))
| join(zero,meet(X_93,join(X_44,complement(complement(X_93))))) = meet(X_93,join(X_44,X_93)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(zero,meet(X_93,join(X_44,complement(complement(X_93))))))),bind(Y,$fot(meet(X_93,join(X_44,complement(complement(X_93)))))),bind(Z,$fot(meet(X_93,join(X_44,X_93))))]]) ).
cnf(refute_0_596,plain,
( meet(X_93,join(X_44,complement(complement(X_93)))) != meet(X_93,join(X_44,X_93))
| join(zero,meet(X_93,join(X_44,complement(complement(X_93))))) = meet(X_93,join(X_44,X_93)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_93,join(X_44,complement(complement(X_93))))),meet(X_93,join(X_44,complement(complement(X_93))))) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
join(zero,meet(X_93,join(X_44,complement(complement(X_93))))) = meet(X_93,join(X_44,X_93)),
inference(resolve,[$cnf( $equal(meet(X_93,join(X_44,complement(complement(X_93)))),meet(X_93,join(X_44,X_93))) )],[refute_0_593,refute_0_596]) ).
cnf(refute_0_598,plain,
( X_93 != join(zero,meet(X_93,join(X_44,complement(complement(X_93)))))
| join(zero,meet(X_93,join(X_44,complement(complement(X_93))))) != meet(X_93,join(X_44,X_93))
| X_93 = meet(X_93,join(X_44,X_93)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,meet(X_93,join(X_44,X_93))) ),[0],$fot(join(zero,meet(X_93,join(X_44,complement(complement(X_93))))))]]) ).
cnf(refute_0_599,plain,
( X_93 != join(zero,meet(X_93,join(X_44,complement(complement(X_93)))))
| X_93 = meet(X_93,join(X_44,X_93)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_93,join(X_44,complement(complement(X_93))))),meet(X_93,join(X_44,X_93))) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
X_93 = meet(X_93,join(X_44,X_93)),
inference(resolve,[$cnf( $equal(X_93,join(zero,meet(X_93,join(X_44,complement(complement(X_93)))))) )],[refute_0_585,refute_0_599]) ).
cnf(refute_0_601,plain,
composition(complement(skolemFOFtoCNF_X1),top) = meet(composition(complement(skolemFOFtoCNF_X1),top),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))),
inference(subst,[],[refute_0_600:[bind(X_44,$fot(complement(skolemFOFtoCNF_X1))),bind(X_93,$fot(composition(complement(skolemFOFtoCNF_X1),top)))]]) ).
cnf(refute_0_602,plain,
join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) = complement(skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_10:[bind(X0,$fot(converse(complement(skolemFOFtoCNF_X1)))),bind(X1,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_603,plain,
converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(converse(skolemFOFtoCNF_X1))),bind(X1,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_604,plain,
join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(composition(skolemFOFtoCNF_X1,top)))) = complement(top),
inference(subst,[],[refute_0_10:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(top))]]) ).
cnf(refute_0_605,plain,
composition(skolemFOFtoCNF_X1,top) = skolemFOFtoCNF_X1,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_606,plain,
( composition(skolemFOFtoCNF_X1,top) != skolemFOFtoCNF_X1
| join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(composition(skolemFOFtoCNF_X1,top)))) != complement(top)
| join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(composition(skolemFOFtoCNF_X1,top)))),complement(top)) ),[0,1,1,0],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_607,plain,
( join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(composition(skolemFOFtoCNF_X1,top)))) != complement(top)
| join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = complement(top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X1,top),skolemFOFtoCNF_X1) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(composition(skolemFOFtoCNF_X1,top)))),complement(top)) )],[refute_0_604,refute_0_607]) ).
cnf(refute_0_609,plain,
join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),
introduced(tautology,[refl,[$fot(join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_610,plain,
( complement(top) != zero
| join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))
| join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_611,plain,
( complement(top) != zero
| join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_611]) ).
cnf(refute_0_613,plain,
( join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != complement(top)
| join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))
| join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) ),[0],$fot(join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_614,plain,
( join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != complement(top)
| join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
( complement(top) != zero
| join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != complement(top)
| join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_616,plain,
( join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != complement(top)
| join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_615]) ).
cnf(refute_0_617,plain,
( join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != complement(top)
| join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) )],[refute_0_614,refute_0_616]) ).
cnf(refute_0_618,plain,
join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),complement(top)) )],[refute_0_608,refute_0_617]) ).
cnf(refute_0_619,plain,
join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_373:[bind(X_93,$fot(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_620,plain,
( join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))
| join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != zero
| composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),zero) ),[0],$fot(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_621,plain,
( join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != zero
| composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),zero) )],[refute_0_618,refute_0_621]) ).
cnf(refute_0_623,plain,
( composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) != zero
| converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1)))
| converse(zero) = composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1)))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_624,plain,
( converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1)))
| converse(zero) = composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),zero) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
converse(zero) = composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1)))) )],[refute_0_603,refute_0_624]) ).
cnf(refute_0_626,plain,
converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) = composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_114:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X_7,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_627,plain,
composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))) = converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(converse(skolemFOFtoCNF_X1))),bind(X1,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_628,plain,
( composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))) != converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))
| converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)
| composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))) = composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))))),bind(Y,$fot(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))),bind(Z,$fot(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_629,plain,
( converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))) != composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)
| composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))) = composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))),converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)))) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))) = composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))),composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)) )],[refute_0_626,refute_0_629]) ).
cnf(refute_0_631,plain,
( composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))) != composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)
| converse(zero) != composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1)))
| converse(zero) = composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1)))) ),[1],$fot(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_632,plain,
( converse(zero) != composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1)))
| converse(zero) = composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1))),composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
converse(zero) = composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(skolemFOFtoCNF_X1)),converse(converse(skolemFOFtoCNF_X1)))) )],[refute_0_625,refute_0_632]) ).
cnf(refute_0_634,plain,
( converse(zero) != composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)
| composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) = converse(zero) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(zero))),bind(Y,$fot(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_635,plain,
composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) = converse(zero),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
( composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) != converse(zero)
| join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) != complement(skolemFOFtoCNF_X1)
| join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) = complement(skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),complement(skolemFOFtoCNF_X1)) ),[0,1,1,0],$fot(converse(zero))]]) ).
cnf(refute_0_637,plain,
( join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))) != complement(skolemFOFtoCNF_X1)
| join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) = complement(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),converse(zero)) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) = complement(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(composition(converse(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1)))),complement(skolemFOFtoCNF_X1)) )],[refute_0_602,refute_0_637]) ).
cnf(refute_0_639,plain,
converse(converse(complement(skolemFOFtoCNF_X1))) = complement(skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_18:[bind(X0,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_640,plain,
composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))) = composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))))]]) ).
cnf(refute_0_641,plain,
( composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))) != composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))
| converse(converse(complement(skolemFOFtoCNF_X1))) != complement(skolemFOFtoCNF_X1)
| composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) ),[1,0],$fot(complement(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_642,plain,
( converse(converse(complement(skolemFOFtoCNF_X1))) != complement(skolemFOFtoCNF_X1)
| composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(converse(complement(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X1)) )],[refute_0_639,refute_0_642]) ).
cnf(refute_0_644,plain,
join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))))]]) ).
cnf(refute_0_645,plain,
( composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))) != composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))
| join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) != join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))))
| join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))))]]) ).
cnf(refute_0_646,plain,
( composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))) != composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))
| join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))))) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero))),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) )],[refute_0_643,refute_0_646]) ).
cnf(refute_0_648,plain,
( join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) != complement(skolemFOFtoCNF_X1)
| join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) != join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))))
| join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) = complement(skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))),complement(skolemFOFtoCNF_X1)) ),[0],$fot(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))))]]) ).
cnf(refute_0_649,plain,
( join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))) != complement(skolemFOFtoCNF_X1)
| join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) = complement(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))))) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) = complement(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(converse(converse(complement(skolemFOFtoCNF_X1))),complement(converse(zero)))),complement(skolemFOFtoCNF_X1)) )],[refute_0_638,refute_0_649]) ).
cnf(refute_0_651,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_652,plain,
converse(join(converse(X0),X_5)) = join(converse(converse(X0)),converse(X_5)),
inference(subst,[],[refute_0_651:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_5))]]) ).
cnf(refute_0_653,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_5)) != join(converse(converse(X0)),converse(X_5))
| converse(join(converse(X0),X_5)) = join(X0,converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_5)),join(converse(converse(X0)),converse(X_5))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_654,plain,
( converse(join(converse(X0),X_5)) != join(converse(converse(X0)),converse(X_5))
| converse(join(converse(X0),X_5)) = join(X0,converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_18,refute_0_653]) ).
cnf(refute_0_655,plain,
converse(join(converse(X0),X_5)) = join(X0,converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_5)),join(converse(converse(X0)),converse(X_5))) )],[refute_0_652,refute_0_654]) ).
cnf(refute_0_656,plain,
converse(join(converse(X_10),complement(converse(X_10)))) = join(X_10,converse(complement(converse(X_10)))),
inference(subst,[],[refute_0_655:[bind(X0,$fot(X_10)),bind(X_5,$fot(complement(converse(X_10))))]]) ).
cnf(refute_0_657,plain,
top = join(converse(X_10),complement(converse(X_10))),
inference(subst,[],[refute_0_42:[bind(X0,$fot(converse(X_10)))]]) ).
cnf(refute_0_658,plain,
( top != join(converse(X_10),complement(converse(X_10)))
| join(converse(X_10),complement(converse(X_10))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_10),complement(converse(X_10)))))]]) ).
cnf(refute_0_659,plain,
join(converse(X_10),complement(converse(X_10))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_10),complement(converse(X_10)))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
( converse(join(converse(X_10),complement(converse(X_10)))) != join(X_10,converse(complement(converse(X_10))))
| join(converse(X_10),complement(converse(X_10))) != top
| converse(top) = join(X_10,converse(complement(converse(X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_10),complement(converse(X_10)))),join(X_10,converse(complement(converse(X_10))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_661,plain,
( converse(join(converse(X_10),complement(converse(X_10)))) != join(X_10,converse(complement(converse(X_10))))
| converse(top) = join(X_10,converse(complement(converse(X_10)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_10),complement(converse(X_10))),top) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
converse(top) = join(X_10,converse(complement(converse(X_10)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_10),complement(converse(X_10)))),join(X_10,converse(complement(converse(X_10))))) )],[refute_0_656,refute_0_661]) ).
cnf(refute_0_663,plain,
join(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))),top) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))))),
inference(subst,[],[refute_0_460:[bind(X_39,$fot(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))))]]) ).
cnf(refute_0_664,plain,
converse(top) = join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0)))))),
inference(subst,[],[refute_0_662:[bind(X_10,$fot(join(X_4,converse(X0))))]]) ).
cnf(refute_0_665,plain,
converse(join(X_4,converse(X0))) = join(converse(X_4),converse(converse(X0))),
inference(subst,[],[refute_0_651:[bind(X0,$fot(X_4)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_666,plain,
( converse(converse(X0)) != X0
| converse(join(X_4,converse(X0))) != join(converse(X_4),converse(converse(X0)))
| converse(join(X_4,converse(X0))) = join(converse(X_4),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_667,plain,
( converse(join(X_4,converse(X0))) != join(converse(X_4),converse(converse(X0)))
| converse(join(X_4,converse(X0))) = join(converse(X_4),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_18,refute_0_666]) ).
cnf(refute_0_668,plain,
converse(join(X_4,converse(X0))) = join(converse(X_4),X0),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),converse(converse(X0)))) )],[refute_0_665,refute_0_667]) ).
cnf(refute_0_669,plain,
( converse(join(X_4,converse(X0))) != join(converse(X_4),X0)
| converse(top) != join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0))))))
| converse(top) = join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0))))))) ),[1,1,0,0],$fot(join(converse(X_4),X0))]]) ).
cnf(refute_0_670,plain,
( converse(top) != join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0))))))
| converse(top) = join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),X0)) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
converse(top) = join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0))))))) )],[refute_0_664,refute_0_670]) ).
cnf(refute_0_672,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_0_673,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_651,refute_0_672]) ).
cnf(refute_0_674,plain,
join(converse(X0),converse(complement(join(converse(X_4),X0)))) = converse(join(X0,complement(join(converse(X_4),X0)))),
inference(subst,[],[refute_0_673:[bind(X1,$fot(complement(join(converse(X_4),X0))))]]) ).
cnf(refute_0_675,plain,
join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) = join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),
introduced(tautology,[refl,[$fot(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))))]]) ).
cnf(refute_0_676,plain,
( join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) != join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))
| join(converse(X0),converse(complement(join(converse(X_4),X0)))) != converse(join(X0,complement(join(converse(X_4),X0))))
| join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))) ),[1,1],$fot(converse(join(X0,complement(join(converse(X_4),X0)))))]]) ).
cnf(refute_0_677,plain,
( join(converse(X0),converse(complement(join(converse(X_4),X0)))) != converse(join(X0,complement(join(converse(X_4),X0))))
| join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
inference(resolve,[$cnf( $equal(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))) )],[refute_0_675,refute_0_676]) ).
cnf(refute_0_678,plain,
join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(complement(join(converse(X_4),X0)))),converse(join(X0,complement(join(converse(X_4),X0))))) )],[refute_0_674,refute_0_677]) ).
cnf(refute_0_679,plain,
join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) = join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),
inference(subst,[],[refute_0_404:[bind(X0,$fot(X_4)),bind(X1,$fot(converse(X0))),bind(X2,$fot(converse(complement(join(converse(X_4),X0)))))]]) ).
cnf(refute_0_680,plain,
( join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) != join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))
| join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) != join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))
| join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))))),bind(Y,$fot(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))))),bind(Z,$fot(join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))))]]) ).
cnf(refute_0_681,plain,
( join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) != join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))
| join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
inference(resolve,[$cnf( $equal(join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))),join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))),
inference(resolve,[$cnf( $equal(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))) )],[refute_0_678,refute_0_681]) ).
cnf(refute_0_683,plain,
( converse(top) != join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0))))
| join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) != join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))
| converse(top) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))) ),[0],$fot(join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))))]]) ).
cnf(refute_0_684,plain,
( converse(top) != join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0))))
| converse(top) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
inference(resolve,[$cnf( $equal(join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))),join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
converse(top) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0))))) )],[refute_0_671,refute_0_684]) ).
cnf(refute_0_686,plain,
converse(top) = join(meet(top,join(zero,zero)),converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))),
inference(subst,[],[refute_0_685:[bind(X0,$fot(X_49)),bind(X_4,$fot(meet(top,join(zero,zero))))]]) ).
cnf(refute_0_687,plain,
( converse(top) != join(meet(top,join(zero,zero)),converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))))
| join(meet(top,join(zero,zero)),converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(meet(top,join(zero,zero)),converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))))))]]) ).
cnf(refute_0_688,plain,
join(meet(top,join(zero,zero)),converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(meet(top,join(zero,zero)),converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))))) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
( join(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))),top) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))))))
| join(meet(top,join(zero,zero)),converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) != converse(top)
| join(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))),top) = join(zero,join(meet(top,top),converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))),top),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))))))) ),[1,1,1],$fot(converse(top))]]) ).
cnf(refute_0_690,plain,
( join(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))),top) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))))))
| join(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))),top) = join(zero,join(meet(top,top),converse(top))) ),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))),converse(top)) )],[refute_0_688,refute_0_689]) ).
cnf(refute_0_691,plain,
join(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))),top) = join(zero,join(meet(top,top),converse(top))),
inference(resolve,[$cnf( $equal(join(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))),top),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))))))) )],[refute_0_663,refute_0_690]) ).
cnf(refute_0_692,plain,
join(X_39,join(complement(X_35),join(zero,complement(complement(X_35))))) = join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))),
inference(subst,[],[refute_0_242:[bind(X0,$fot(X_39)),bind(X1,$fot(complement(X_35))),bind(X2,$fot(join(zero,complement(complement(X_35)))))]]) ).
cnf(refute_0_693,plain,
top = join(complement(X_35),join(complement(complement(X_35)),meet(X_35,complement(X_35)))),
inference(subst,[],[refute_0_408:[bind(X_29,$fot(X_35)),bind(X_30,$fot(complement(X_35)))]]) ).
cnf(refute_0_694,plain,
zero = meet(X_35,complement(X_35)),
inference(subst,[],[refute_0_33:[bind(X0,$fot(X_35))]]) ).
cnf(refute_0_695,plain,
( zero != meet(X_35,complement(X_35))
| meet(X_35,complement(X_35)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_35,complement(X_35))))]]) ).
cnf(refute_0_696,plain,
meet(X_35,complement(X_35)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_35,complement(X_35))) )],[refute_0_694,refute_0_695]) ).
cnf(refute_0_697,plain,
( meet(X_35,complement(X_35)) != zero
| top != join(complement(X_35),join(complement(complement(X_35)),meet(X_35,complement(X_35))))
| top = join(complement(X_35),join(complement(complement(X_35)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_35),join(complement(complement(X_35)),meet(X_35,complement(X_35))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_698,plain,
( top != join(complement(X_35),join(complement(complement(X_35)),meet(X_35,complement(X_35))))
| top = join(complement(X_35),join(complement(complement(X_35)),zero)) ),
inference(resolve,[$cnf( $equal(meet(X_35,complement(X_35)),zero) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
top = join(complement(X_35),join(complement(complement(X_35)),zero)),
inference(resolve,[$cnf( $equal(top,join(complement(X_35),join(complement(complement(X_35)),meet(X_35,complement(X_35))))) )],[refute_0_693,refute_0_698]) ).
cnf(refute_0_700,plain,
join(complement(complement(X_35)),zero) = join(zero,complement(complement(X_35))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(complement(X_35))))]]) ).
cnf(refute_0_701,plain,
join(complement(X_35),join(complement(complement(X_35)),zero)) = join(complement(X_35),join(complement(complement(X_35)),zero)),
introduced(tautology,[refl,[$fot(join(complement(X_35),join(complement(complement(X_35)),zero)))]]) ).
cnf(refute_0_702,plain,
( join(complement(X_35),join(complement(complement(X_35)),zero)) != join(complement(X_35),join(complement(complement(X_35)),zero))
| join(complement(complement(X_35)),zero) != join(zero,complement(complement(X_35)))
| join(complement(X_35),join(complement(complement(X_35)),zero)) = join(complement(X_35),join(zero,complement(complement(X_35)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_35),join(complement(complement(X_35)),zero)),join(complement(X_35),join(complement(complement(X_35)),zero))) ),[1,1],$fot(join(zero,complement(complement(X_35))))]]) ).
cnf(refute_0_703,plain,
( join(complement(complement(X_35)),zero) != join(zero,complement(complement(X_35)))
| join(complement(X_35),join(complement(complement(X_35)),zero)) = join(complement(X_35),join(zero,complement(complement(X_35)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_35),join(complement(complement(X_35)),zero)),join(complement(X_35),join(complement(complement(X_35)),zero))) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
join(complement(X_35),join(complement(complement(X_35)),zero)) = join(complement(X_35),join(zero,complement(complement(X_35)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_35)),zero),join(zero,complement(complement(X_35)))) )],[refute_0_700,refute_0_703]) ).
cnf(refute_0_705,plain,
( join(complement(X_35),join(complement(complement(X_35)),zero)) != join(complement(X_35),join(zero,complement(complement(X_35))))
| top != join(complement(X_35),join(complement(complement(X_35)),zero))
| top = join(complement(X_35),join(zero,complement(complement(X_35)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_35),join(complement(complement(X_35)),zero))) ),[1],$fot(join(complement(X_35),join(zero,complement(complement(X_35)))))]]) ).
cnf(refute_0_706,plain,
( top != join(complement(X_35),join(complement(complement(X_35)),zero))
| top = join(complement(X_35),join(zero,complement(complement(X_35)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_35),join(complement(complement(X_35)),zero)),join(complement(X_35),join(zero,complement(complement(X_35))))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
top = join(complement(X_35),join(zero,complement(complement(X_35)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_35),join(complement(complement(X_35)),zero))) )],[refute_0_699,refute_0_706]) ).
cnf(refute_0_708,plain,
( top != join(complement(X_35),join(zero,complement(complement(X_35))))
| join(complement(X_35),join(zero,complement(complement(X_35)))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_35),join(zero,complement(complement(X_35))))))]]) ).
cnf(refute_0_709,plain,
join(complement(X_35),join(zero,complement(complement(X_35)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_35),join(zero,complement(complement(X_35))))) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
( join(X_39,join(complement(X_35),join(zero,complement(complement(X_35))))) != join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35))))
| join(complement(X_35),join(zero,complement(complement(X_35)))) != top
| join(X_39,top) = join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_39,join(complement(X_35),join(zero,complement(complement(X_35))))),join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_711,plain,
( join(X_39,join(complement(X_35),join(zero,complement(complement(X_35))))) != join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35))))
| join(X_39,top) = join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_35),join(zero,complement(complement(X_35)))),top) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
join(X_39,top) = join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))),
inference(resolve,[$cnf( $equal(join(X_39,join(complement(X_35),join(zero,complement(complement(X_35))))),join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35))))) )],[refute_0_692,refute_0_711]) ).
cnf(refute_0_713,plain,
join(complement(complement(X_35)),join(X_39,complement(X_35))) = join(complement(X_35),join(complement(complement(X_35)),X_39)),
inference(subst,[],[refute_0_448:[bind(X0,$fot(complement(X_35))),bind(X_39,$fot(complement(complement(X_35)))),bind(X_40,$fot(X_39))]]) ).
cnf(refute_0_714,plain,
join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))) = join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))))]]) ).
cnf(refute_0_715,plain,
( join(complement(complement(X_35)),join(X_39,complement(X_35))) != join(complement(X_35),join(complement(complement(X_35)),X_39))
| join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))) != join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35))))
| join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))) = join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))),join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35))))) ),[1,1],$fot(join(complement(X_35),join(complement(complement(X_35)),X_39)))]]) ).
cnf(refute_0_716,plain,
( join(complement(complement(X_35)),join(X_39,complement(X_35))) != join(complement(X_35),join(complement(complement(X_35)),X_39))
| join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))) = join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))),join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35))))) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))) = join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_35)),join(X_39,complement(X_35))),join(complement(X_35),join(complement(complement(X_35)),X_39))) )],[refute_0_713,refute_0_716]) ).
cnf(refute_0_718,plain,
join(complement(complement(X_35)),join(join(X_39,complement(X_35)),zero)) = join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))),
inference(subst,[],[refute_0_448:[bind(X0,$fot(zero)),bind(X_39,$fot(complement(complement(X_35)))),bind(X_40,$fot(join(X_39,complement(X_35))))]]) ).
cnf(refute_0_719,plain,
join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))) = join(complement(complement(X_35)),join(join(X_39,complement(X_35)),zero)),
inference(subst,[],[refute_0_448:[bind(X0,$fot(complement(complement(X_35)))),bind(X_39,$fot(join(X_39,complement(X_35)))),bind(X_40,$fot(zero))]]) ).
cnf(refute_0_720,plain,
( join(complement(complement(X_35)),join(join(X_39,complement(X_35)),zero)) != join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35))))
| join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))) != join(complement(complement(X_35)),join(join(X_39,complement(X_35)),zero))
| join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))) = join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))))),bind(Y,$fot(join(complement(complement(X_35)),join(join(X_39,complement(X_35)),zero)))),bind(Z,$fot(join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35))))))]]) ).
cnf(refute_0_721,plain,
( join(complement(complement(X_35)),join(join(X_39,complement(X_35)),zero)) != join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35))))
| join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))) = join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))) ),
inference(resolve,[$cnf( $equal(join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))),join(complement(complement(X_35)),join(join(X_39,complement(X_35)),zero))) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))) = join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_35)),join(join(X_39,complement(X_35)),zero)),join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35))))) )],[refute_0_718,refute_0_721]) ).
cnf(refute_0_723,plain,
( join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))) != join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35))))
| join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))) != join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39)))
| join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))) = join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))))),bind(Y,$fot(join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))))),bind(Z,$fot(join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39)))))]]) ).
cnf(refute_0_724,plain,
( join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))) != join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39)))
| join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))) = join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))) ),
inference(resolve,[$cnf( $equal(join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))),join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35))))) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))) = join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_35)),join(X_39,complement(X_35)))),join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39)))) )],[refute_0_717,refute_0_724]) ).
cnf(refute_0_726,plain,
( join(X_39,top) != join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35))))
| join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))) != join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39)))
| join(X_39,top) = join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_39,top),join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39)))) ),[0],$fot(join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))))]]) ).
cnf(refute_0_727,plain,
( join(X_39,top) != join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35))))
| join(X_39,top) = join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))) ),
inference(resolve,[$cnf( $equal(join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35)))),join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39)))) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
join(X_39,top) = join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))),
inference(resolve,[$cnf( $equal(join(X_39,top),join(join(X_39,complement(X_35)),join(zero,complement(complement(X_35))))) )],[refute_0_712,refute_0_727]) ).
cnf(refute_0_729,plain,
join(complement(X_35),join(complement(complement(X_35)),X_39)) = join(top,X_39),
inference(subst,[],[refute_0_249:[bind(X_39,$fot(complement(X_35))),bind(X_41,$fot(X_39))]]) ).
cnf(refute_0_730,plain,
join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))) = join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))))]]) ).
cnf(refute_0_731,plain,
( join(complement(X_35),join(complement(complement(X_35)),X_39)) != join(top,X_39)
| join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))) != join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39)))
| join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))) = join(zero,join(top,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))),join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39)))) ),[1,1],$fot(join(top,X_39))]]) ).
cnf(refute_0_732,plain,
( join(complement(X_35),join(complement(complement(X_35)),X_39)) != join(top,X_39)
| join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))) = join(zero,join(top,X_39)) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))),join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39)))) )],[refute_0_730,refute_0_731]) ).
cnf(refute_0_733,plain,
join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))) = join(zero,join(top,X_39)),
inference(resolve,[$cnf( $equal(join(complement(X_35),join(complement(complement(X_35)),X_39)),join(top,X_39)) )],[refute_0_729,refute_0_732]) ).
cnf(refute_0_734,plain,
( join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))) != join(zero,join(top,X_39))
| join(zero,join(top,X_39)) != join(top,X_39)
| join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))) = join(top,X_39) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))))),bind(Y,$fot(join(zero,join(top,X_39)))),bind(Z,$fot(join(top,X_39)))]]) ).
cnf(refute_0_735,plain,
( join(zero,join(top,X_39)) != join(top,X_39)
| join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))) = join(top,X_39) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))),join(zero,join(top,X_39))) )],[refute_0_733,refute_0_734]) ).
cnf(refute_0_736,plain,
join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))) = join(top,X_39),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_39)),join(top,X_39)) )],[refute_0_491,refute_0_735]) ).
cnf(refute_0_737,plain,
( join(X_39,top) != join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39)))
| join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))) != join(top,X_39)
| join(X_39,top) = join(top,X_39) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_39,top),join(top,X_39)) ),[0],$fot(join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))))]]) ).
cnf(refute_0_738,plain,
( join(X_39,top) != join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39)))
| join(X_39,top) = join(top,X_39) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39))),join(top,X_39)) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
join(X_39,top) = join(top,X_39),
inference(resolve,[$cnf( $equal(join(X_39,top),join(zero,join(complement(X_35),join(complement(complement(X_35)),X_39)))) )],[refute_0_728,refute_0_738]) ).
cnf(refute_0_740,plain,
join(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))),top) = join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))),
inference(subst,[],[refute_0_739:[bind(X_39,$fot(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))))]]) ).
cnf(refute_0_741,plain,
( join(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))),top) != join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))))
| join(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))),top) != join(zero,join(meet(top,top),converse(top)))
| join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) = join(zero,join(meet(top,top),converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))),top),join(zero,join(meet(top,top),converse(top)))) ),[0],$fot(join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))))]]) ).
cnf(refute_0_742,plain,
( join(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))),top) != join(zero,join(meet(top,top),converse(top)))
| join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) = join(zero,join(meet(top,top),converse(top))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))),top),join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
join(X_41,X_40) = join(X_40,X_41),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_41)),bind(X1,$fot(X_40))]]) ).
cnf(refute_0_744,plain,
( join(X_41,X_40) != join(X_40,X_41)
| join(X_40,X_41) = join(X_41,X_40) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_41,X_40))),bind(Y,$fot(join(X_40,X_41)))]]) ).
cnf(refute_0_745,plain,
join(X_40,X_41) = join(X_41,X_40),
inference(resolve,[$cnf( $equal(join(X_41,X_40),join(X_40,X_41)) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
( join(X_39,join(X_40,X_41)) != join(join(X_39,X_40),X_41)
| join(X_40,X_41) != join(X_41,X_40)
| join(X_39,join(X_41,X_40)) = join(join(X_39,X_40),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_39,join(X_40,X_41)),join(join(X_39,X_40),X_41)) ),[0,1],$fot(join(X_41,X_40))]]) ).
cnf(refute_0_747,plain,
( join(X_39,join(X_40,X_41)) != join(join(X_39,X_40),X_41)
| join(X_39,join(X_41,X_40)) = join(join(X_39,X_40),X_41) ),
inference(resolve,[$cnf( $equal(join(X_40,X_41),join(X_41,X_40)) )],[refute_0_745,refute_0_746]) ).
cnf(refute_0_748,plain,
join(X_39,join(X_41,X_40)) = join(join(X_39,X_40),X_41),
inference(resolve,[$cnf( $equal(join(X_39,join(X_40,X_41)),join(join(X_39,X_40),X_41)) )],[refute_0_475,refute_0_747]) ).
cnf(refute_0_749,plain,
join(join(X_39,X_40),X_41) = join(X_39,join(X_40,X_41)),
inference(subst,[],[refute_0_404:[bind(X0,$fot(X_39)),bind(X1,$fot(X_40)),bind(X2,$fot(X_41))]]) ).
cnf(refute_0_750,plain,
( join(X_39,join(X_41,X_40)) != join(join(X_39,X_40),X_41)
| join(join(X_39,X_40),X_41) != join(X_39,join(X_40,X_41))
| join(X_39,join(X_41,X_40)) = join(X_39,join(X_40,X_41)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_39,join(X_41,X_40)),join(X_39,join(X_40,X_41))) ),[0],$fot(join(join(X_39,X_40),X_41))]]) ).
cnf(refute_0_751,plain,
( join(X_39,join(X_41,X_40)) != join(join(X_39,X_40),X_41)
| join(X_39,join(X_41,X_40)) = join(X_39,join(X_40,X_41)) ),
inference(resolve,[$cnf( $equal(join(join(X_39,X_40),X_41),join(X_39,join(X_40,X_41))) )],[refute_0_749,refute_0_750]) ).
cnf(refute_0_752,plain,
join(X_39,join(X_41,X_40)) = join(X_39,join(X_40,X_41)),
inference(resolve,[$cnf( $equal(join(X_39,join(X_41,X_40)),join(join(X_39,X_40),X_41)) )],[refute_0_748,refute_0_751]) ).
cnf(refute_0_753,plain,
( join(X_39,join(X_41,X_40)) != join(X_39,join(X_40,X_41))
| join(X_39,join(X_40,X_41)) = join(X_39,join(X_41,X_40)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_39,join(X_41,X_40)))),bind(Y,$fot(join(X_39,join(X_40,X_41))))]]) ).
cnf(refute_0_754,plain,
join(X_39,join(X_40,X_41)) = join(X_39,join(X_41,X_40)),
inference(resolve,[$cnf( $equal(join(X_39,join(X_41,X_40)),join(X_39,join(X_40,X_41))) )],[refute_0_752,refute_0_753]) ).
cnf(refute_0_755,plain,
join(zero,join(meet(top,top),converse(top))) = join(zero,join(converse(top),meet(top,top))),
inference(subst,[],[refute_0_754:[bind(X_39,$fot(zero)),bind(X_40,$fot(meet(top,top))),bind(X_41,$fot(converse(top)))]]) ).
cnf(refute_0_756,plain,
( join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) != join(zero,join(meet(top,top),converse(top)))
| join(zero,join(meet(top,top),converse(top))) != join(zero,join(converse(top),meet(top,top)))
| join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) = join(zero,join(converse(top),meet(top,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))),join(zero,join(converse(top),meet(top,top)))) ),[0],$fot(join(zero,join(meet(top,top),converse(top))))]]) ).
cnf(refute_0_757,plain,
( join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) != join(zero,join(meet(top,top),converse(top)))
| join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) = join(zero,join(converse(top),meet(top,top))) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),converse(top))),join(zero,join(converse(top),meet(top,top)))) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
( join(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))),top) != join(zero,join(meet(top,top),converse(top)))
| join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) = join(zero,join(converse(top),meet(top,top))) ),
inference(resolve,[$cnf( $equal(join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))),join(zero,join(meet(top,top),converse(top)))) )],[refute_0_742,refute_0_757]) ).
cnf(refute_0_759,plain,
join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) = join(zero,join(converse(top),meet(top,top))),
inference(resolve,[$cnf( $equal(join(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49)))),top),join(zero,join(meet(top,top),converse(top)))) )],[refute_0_691,refute_0_758]) ).
cnf(refute_0_760,plain,
join(zero,join(converse(top),X2)) = join(join(zero,converse(top)),X2),
inference(subst,[],[refute_0_242:[bind(X0,$fot(zero)),bind(X1,$fot(converse(top)))]]) ).
cnf(refute_0_761,plain,
join(top,join(zero,X_42)) = join(top,X_42),
inference(subst,[],[refute_0_473:[bind(X_41,$fot(X_42))]]) ).
cnf(refute_0_762,plain,
join(X_42,zero) = join(zero,X_42),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_42)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_763,plain,
( join(X_42,zero) != join(zero,X_42)
| join(zero,X_42) = join(X_42,zero) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_42,zero))),bind(Y,$fot(join(zero,X_42)))]]) ).
cnf(refute_0_764,plain,
join(zero,X_42) = join(X_42,zero),
inference(resolve,[$cnf( $equal(join(X_42,zero),join(zero,X_42)) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
( join(top,join(zero,X_42)) != join(top,X_42)
| join(zero,X_42) != join(X_42,zero)
| join(top,join(X_42,zero)) = join(top,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_42)),join(top,X_42)) ),[0,1],$fot(join(X_42,zero))]]) ).
cnf(refute_0_766,plain,
( join(top,join(zero,X_42)) != join(top,X_42)
| join(top,join(X_42,zero)) = join(top,X_42) ),
inference(resolve,[$cnf( $equal(join(zero,X_42),join(X_42,zero)) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
join(top,join(X_42,zero)) = join(top,X_42),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_42)),join(top,X_42)) )],[refute_0_761,refute_0_766]) ).
cnf(refute_0_768,plain,
join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)) = join(top,converse(join(X0,complement(join(converse(top),X0))))),
inference(subst,[],[refute_0_767:[bind(X_42,$fot(converse(join(X0,complement(join(converse(top),X0))))))]]) ).
cnf(refute_0_769,plain,
converse(top) = join(top,converse(join(X0,complement(join(converse(top),X0))))),
inference(subst,[],[refute_0_685:[bind(X_4,$fot(top))]]) ).
cnf(refute_0_770,plain,
( converse(top) != join(top,converse(join(X0,complement(join(converse(top),X0)))))
| join(top,converse(join(X0,complement(join(converse(top),X0))))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(top,converse(join(X0,complement(join(converse(top),X0)))))))]]) ).
cnf(refute_0_771,plain,
join(top,converse(join(X0,complement(join(converse(top),X0))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(top,converse(join(X0,complement(join(converse(top),X0)))))) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
( join(top,converse(join(X0,complement(join(converse(top),X0))))) != converse(top)
| join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)) != join(top,converse(join(X0,complement(join(converse(top),X0)))))
| join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)),join(top,converse(join(X0,complement(join(converse(top),X0)))))) ),[1],$fot(converse(top))]]) ).
cnf(refute_0_773,plain,
( join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)) != join(top,converse(join(X0,complement(join(converse(top),X0)))))
| join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,converse(join(X0,complement(join(converse(top),X0))))),converse(top)) )],[refute_0_771,refute_0_772]) ).
cnf(refute_0_774,plain,
join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)) = converse(top),
inference(resolve,[$cnf( $equal(join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)),join(top,converse(join(X0,complement(join(converse(top),X0)))))) )],[refute_0_768,refute_0_773]) ).
cnf(refute_0_775,plain,
join(converse(top),zero) = join(zero,converse(top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(converse(top)))]]) ).
cnf(refute_0_776,plain,
join(X0,join(converse(join(X_49,complement(join(converse(X0),X_49)))),X2)) = join(join(X0,converse(join(X_49,complement(join(converse(X0),X_49))))),X2),
inference(subst,[],[refute_0_242:[bind(X1,$fot(converse(join(X_49,complement(join(converse(X0),X_49))))))]]) ).
cnf(refute_0_777,plain,
converse(top) = join(X0,converse(join(X_49,complement(join(converse(X0),X_49))))),
inference(subst,[],[refute_0_685:[bind(X0,$fot(X_49)),bind(X_4,$fot(X0))]]) ).
cnf(refute_0_778,plain,
( converse(top) != join(X0,converse(join(X_49,complement(join(converse(X0),X_49)))))
| join(X0,converse(join(X_49,complement(join(converse(X0),X_49))))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X0,converse(join(X_49,complement(join(converse(X0),X_49)))))))]]) ).
cnf(refute_0_779,plain,
join(X0,converse(join(X_49,complement(join(converse(X0),X_49))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(X0,converse(join(X_49,complement(join(converse(X0),X_49)))))) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
( join(X0,converse(join(X_49,complement(join(converse(X0),X_49))))) != converse(top)
| join(X0,join(converse(join(X_49,complement(join(converse(X0),X_49)))),X2)) != join(join(X0,converse(join(X_49,complement(join(converse(X0),X_49))))),X2)
| join(X0,join(converse(join(X_49,complement(join(converse(X0),X_49)))),X2)) = join(converse(top),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(converse(join(X_49,complement(join(converse(X0),X_49)))),X2)),join(join(X0,converse(join(X_49,complement(join(converse(X0),X_49))))),X2)) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_781,plain,
( join(X0,join(converse(join(X_49,complement(join(converse(X0),X_49)))),X2)) != join(join(X0,converse(join(X_49,complement(join(converse(X0),X_49))))),X2)
| join(X0,join(converse(join(X_49,complement(join(converse(X0),X_49)))),X2)) = join(converse(top),X2) ),
inference(resolve,[$cnf( $equal(join(X0,converse(join(X_49,complement(join(converse(X0),X_49))))),converse(top)) )],[refute_0_779,refute_0_780]) ).
cnf(refute_0_782,plain,
join(X0,join(converse(join(X_49,complement(join(converse(X0),X_49)))),X2)) = join(converse(top),X2),
inference(resolve,[$cnf( $equal(join(X0,join(converse(join(X_49,complement(join(converse(X0),X_49)))),X2)),join(join(X0,converse(join(X_49,complement(join(converse(X0),X_49))))),X2)) )],[refute_0_776,refute_0_781]) ).
cnf(refute_0_783,plain,
join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)) = join(converse(top),zero),
inference(subst,[],[refute_0_782:[bind(X0,$fot(top)),bind(X2,$fot(zero)),bind(X_49,$fot(X0))]]) ).
cnf(refute_0_784,plain,
( join(converse(top),zero) != join(zero,converse(top))
| join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)) != join(converse(top),zero)
| join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)) = join(zero,converse(top)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)))),bind(Y,$fot(join(converse(top),zero))),bind(Z,$fot(join(zero,converse(top))))]]) ).
cnf(refute_0_785,plain,
( join(converse(top),zero) != join(zero,converse(top))
| join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)) = join(zero,converse(top)) ),
inference(resolve,[$cnf( $equal(join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)),join(converse(top),zero)) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)) = join(zero,converse(top)),
inference(resolve,[$cnf( $equal(join(converse(top),zero),join(zero,converse(top))) )],[refute_0_775,refute_0_785]) ).
cnf(refute_0_787,plain,
( join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)) != converse(top)
| join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)) != join(zero,converse(top))
| join(zero,converse(top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)),converse(top)) ),[0],$fot(join(zero,converse(top)))]]) ).
cnf(refute_0_788,plain,
( join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)) != converse(top)
| join(zero,converse(top)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)),join(zero,converse(top))) )],[refute_0_786,refute_0_787]) ).
cnf(refute_0_789,plain,
join(zero,converse(top)) = converse(top),
inference(resolve,[$cnf( $equal(join(top,join(converse(join(X0,complement(join(converse(top),X0)))),zero)),converse(top)) )],[refute_0_774,refute_0_788]) ).
cnf(refute_0_790,plain,
( join(zero,converse(top)) != converse(top)
| join(zero,join(converse(top),X2)) != join(join(zero,converse(top)),X2)
| join(zero,join(converse(top),X2)) = join(converse(top),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(converse(top),X2)),join(join(zero,converse(top)),X2)) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_791,plain,
( join(zero,join(converse(top),X2)) != join(join(zero,converse(top)),X2)
| join(zero,join(converse(top),X2)) = join(converse(top),X2) ),
inference(resolve,[$cnf( $equal(join(zero,converse(top)),converse(top)) )],[refute_0_789,refute_0_790]) ).
cnf(refute_0_792,plain,
join(zero,join(converse(top),X2)) = join(converse(top),X2),
inference(resolve,[$cnf( $equal(join(zero,join(converse(top),X2)),join(join(zero,converse(top)),X2)) )],[refute_0_760,refute_0_791]) ).
cnf(refute_0_793,plain,
join(zero,join(converse(top),meet(top,top))) = join(converse(top),meet(top,top)),
inference(subst,[],[refute_0_792:[bind(X2,$fot(meet(top,top)))]]) ).
cnf(refute_0_794,plain,
( join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) != join(zero,join(converse(top),meet(top,top)))
| join(zero,join(converse(top),meet(top,top))) != join(converse(top),meet(top,top))
| join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) = join(converse(top),meet(top,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))),join(converse(top),meet(top,top))) ),[0],$fot(join(zero,join(converse(top),meet(top,top))))]]) ).
cnf(refute_0_795,plain,
( join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) != join(zero,join(converse(top),meet(top,top)))
| join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) = join(converse(top),meet(top,top)) ),
inference(resolve,[$cnf( $equal(join(zero,join(converse(top),meet(top,top))),join(converse(top),meet(top,top))) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) = join(converse(top),meet(top,top)),
inference(resolve,[$cnf( $equal(join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))),join(zero,join(converse(top),meet(top,top)))) )],[refute_0_759,refute_0_795]) ).
cnf(refute_0_797,plain,
join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) = top,
inference(subst,[],[refute_0_566:[bind(X_39,$fot(converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))))]]) ).
cnf(refute_0_798,plain,
( join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) != join(converse(top),meet(top,top))
| join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) != top
| top = join(converse(top),meet(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))),join(converse(top),meet(top,top))) ),[0],$fot(top)]]) ).
cnf(refute_0_799,plain,
( join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) != join(converse(top),meet(top,top))
| top = join(converse(top),meet(top,top)) ),
inference(resolve,[$cnf( $equal(join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))),top) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
converse(top) = join(join(X_22,X_23),converse(complement(converse(join(X_22,X_23))))),
inference(subst,[],[refute_0_662:[bind(X_10,$fot(join(X_22,X_23)))]]) ).
cnf(refute_0_801,plain,
join(converse(X0),converse(X1)) = join(converse(X1),converse(X0)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(converse(X0))),bind(X1,$fot(converse(X1)))]]) ).
cnf(refute_0_802,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) != join(converse(X1),converse(X0))
| converse(join(X0,X1)) = join(converse(X1),converse(X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,X1)),join(converse(X1),converse(X0))) ),[0],$fot(join(converse(X0),converse(X1)))]]) ).
cnf(refute_0_803,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| converse(join(X0,X1)) = join(converse(X1),converse(X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X1)),join(converse(X1),converse(X0))) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_651,refute_0_803]) ).
cnf(refute_0_805,plain,
join(converse(X1),converse(X0)) = converse(join(X1,X0)),
inference(subst,[],[refute_0_673:[bind(X0,$fot(X1)),bind(X1,$fot(X0))]]) ).
cnf(refute_0_806,plain,
( converse(join(X0,X1)) != join(converse(X1),converse(X0))
| join(converse(X1),converse(X0)) != converse(join(X1,X0))
| converse(join(X0,X1)) = converse(join(X1,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,X1)),converse(join(X1,X0))) ),[0],$fot(join(converse(X1),converse(X0)))]]) ).
cnf(refute_0_807,plain,
( converse(join(X0,X1)) != join(converse(X1),converse(X0))
| converse(join(X0,X1)) = converse(join(X1,X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X1),converse(X0)),converse(join(X1,X0))) )],[refute_0_805,refute_0_806]) ).
cnf(refute_0_808,plain,
converse(join(X0,X1)) = converse(join(X1,X0)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X1),converse(X0))) )],[refute_0_804,refute_0_807]) ).
cnf(refute_0_809,plain,
converse(join(X_22,X_23)) = converse(join(X_23,X_22)),
inference(subst,[],[refute_0_808:[bind(X0,$fot(X_22)),bind(X1,$fot(X_23))]]) ).
cnf(refute_0_810,plain,
( converse(join(X_22,X_23)) != converse(join(X_23,X_22))
| converse(top) != join(join(X_22,X_23),converse(complement(converse(join(X_22,X_23)))))
| converse(top) = join(join(X_22,X_23),converse(complement(converse(join(X_23,X_22))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_22,X_23),converse(complement(converse(join(X_22,X_23)))))) ),[1,1,0,0],$fot(converse(join(X_23,X_22)))]]) ).
cnf(refute_0_811,plain,
( converse(top) != join(join(X_22,X_23),converse(complement(converse(join(X_22,X_23)))))
| converse(top) = join(join(X_22,X_23),converse(complement(converse(join(X_23,X_22))))) ),
inference(resolve,[$cnf( $equal(converse(join(X_22,X_23)),converse(join(X_23,X_22))) )],[refute_0_809,refute_0_810]) ).
cnf(refute_0_812,plain,
converse(top) = join(join(X_22,X_23),converse(complement(converse(join(X_23,X_22))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_22,X_23),converse(complement(converse(join(X_22,X_23)))))) )],[refute_0_800,refute_0_811]) ).
cnf(refute_0_813,plain,
join(join(X_22,X_23),converse(complement(converse(join(X_23,X_22))))) = join(X_22,join(X_23,converse(complement(converse(join(X_23,X_22)))))),
inference(subst,[],[refute_0_404:[bind(X0,$fot(X_22)),bind(X1,$fot(X_23)),bind(X2,$fot(converse(complement(converse(join(X_23,X_22))))))]]) ).
cnf(refute_0_814,plain,
( converse(top) != join(join(X_22,X_23),converse(complement(converse(join(X_23,X_22)))))
| join(join(X_22,X_23),converse(complement(converse(join(X_23,X_22))))) != join(X_22,join(X_23,converse(complement(converse(join(X_23,X_22))))))
| converse(top) = join(X_22,join(X_23,converse(complement(converse(join(X_23,X_22)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_22,join(X_23,converse(complement(converse(join(X_23,X_22))))))) ),[0],$fot(join(join(X_22,X_23),converse(complement(converse(join(X_23,X_22))))))]]) ).
cnf(refute_0_815,plain,
( converse(top) != join(join(X_22,X_23),converse(complement(converse(join(X_23,X_22)))))
| converse(top) = join(X_22,join(X_23,converse(complement(converse(join(X_23,X_22)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_22,X_23),converse(complement(converse(join(X_23,X_22))))),join(X_22,join(X_23,converse(complement(converse(join(X_23,X_22))))))) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
converse(top) = join(X_22,join(X_23,converse(complement(converse(join(X_23,X_22)))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_22,X_23),converse(complement(converse(join(X_23,X_22)))))) )],[refute_0_812,refute_0_815]) ).
cnf(refute_0_817,plain,
converse(top) = join(complement(X_65),join(complement(X_65),converse(complement(converse(join(complement(X_65),complement(X_65))))))),
inference(subst,[],[refute_0_816:[bind(X_22,$fot(complement(X_65))),bind(X_23,$fot(complement(X_65)))]]) ).
cnf(refute_0_818,plain,
join(complement(X_65),complement(X_65)) = complement(X_65),
inference(subst,[],[refute_0_159:[bind(X_64,$fot(X_65))]]) ).
cnf(refute_0_819,plain,
( converse(top) != join(complement(X_65),join(complement(X_65),converse(complement(converse(join(complement(X_65),complement(X_65)))))))
| join(complement(X_65),complement(X_65)) != complement(X_65)
| converse(top) = join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(complement(X_65),join(complement(X_65),converse(complement(converse(join(complement(X_65),complement(X_65)))))))) ),[1,1,1,0,0,0],$fot(complement(X_65))]]) ).
cnf(refute_0_820,plain,
( converse(top) != join(complement(X_65),join(complement(X_65),converse(complement(converse(join(complement(X_65),complement(X_65)))))))
| converse(top) = join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65)))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_65),complement(X_65)),complement(X_65)) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
converse(top) = join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65)))))),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_65),join(complement(X_65),converse(complement(converse(join(complement(X_65),complement(X_65)))))))) )],[refute_0_817,refute_0_820]) ).
cnf(refute_0_822,plain,
( converse(top) != join(X_10,converse(complement(converse(X_10))))
| join(X_10,converse(complement(converse(X_10)))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_10,converse(complement(converse(X_10))))))]]) ).
cnf(refute_0_823,plain,
join(X_10,converse(complement(converse(X_10)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(X_10,converse(complement(converse(X_10))))) )],[refute_0_662,refute_0_822]) ).
cnf(refute_0_824,plain,
join(complement(X_65),converse(complement(converse(complement(X_65))))) = converse(top),
inference(subst,[],[refute_0_823:[bind(X_10,$fot(complement(X_65)))]]) ).
cnf(refute_0_825,plain,
join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65)))))) = join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65)))))),
introduced(tautology,[refl,[$fot(join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65)))))))]]) ).
cnf(refute_0_826,plain,
( join(complement(X_65),converse(complement(converse(complement(X_65))))) != converse(top)
| join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65)))))) != join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65))))))
| join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65)))))) = join(complement(X_65),converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65)))))),join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65))))))) ),[1,1],$fot(converse(top))]]) ).
cnf(refute_0_827,plain,
( join(complement(X_65),converse(complement(converse(complement(X_65))))) != converse(top)
| join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65)))))) = join(complement(X_65),converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65)))))),join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65))))))) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65)))))) = join(complement(X_65),converse(top)),
inference(resolve,[$cnf( $equal(join(complement(X_65),converse(complement(converse(complement(X_65))))),converse(top)) )],[refute_0_824,refute_0_827]) ).
cnf(refute_0_829,plain,
( converse(top) != join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65))))))
| join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65)))))) != join(complement(X_65),converse(top))
| converse(top) = join(complement(X_65),converse(top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(complement(X_65),converse(top))) ),[0],$fot(join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65)))))))]]) ).
cnf(refute_0_830,plain,
( converse(top) != join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65))))))
| converse(top) = join(complement(X_65),converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65)))))),join(complement(X_65),converse(top))) )],[refute_0_828,refute_0_829]) ).
cnf(refute_0_831,plain,
converse(top) = join(complement(X_65),converse(top)),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_65),join(complement(X_65),converse(complement(converse(complement(X_65))))))) )],[refute_0_821,refute_0_830]) ).
cnf(refute_0_832,plain,
( converse(top) != join(complement(X_65),converse(top))
| join(complement(X_65),converse(top)) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_65),converse(top))))]]) ).
cnf(refute_0_833,plain,
join(complement(X_65),converse(top)) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_65),converse(top))) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
join(complement(zero),converse(top)) = converse(top),
inference(subst,[],[refute_0_833:[bind(X_65,$fot(zero))]]) ).
cnf(refute_0_835,plain,
join(converse(top),complement(zero)) = join(complement(zero),converse(top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(zero))),bind(X1,$fot(converse(top)))]]) ).
cnf(refute_0_836,plain,
( join(complement(zero),converse(top)) != converse(top)
| join(converse(top),complement(zero)) != join(complement(zero),converse(top))
| join(converse(top),complement(zero)) = converse(top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(converse(top),complement(zero)))),bind(Y,$fot(join(complement(zero),converse(top)))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_837,plain,
( join(complement(zero),converse(top)) != converse(top)
| join(converse(top),complement(zero)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(zero)),join(complement(zero),converse(top))) )],[refute_0_835,refute_0_836]) ).
cnf(refute_0_838,plain,
join(converse(top),complement(zero)) = converse(top),
inference(resolve,[$cnf( $equal(join(complement(zero),converse(top)),converse(top)) )],[refute_0_834,refute_0_837]) ).
cnf(refute_0_839,plain,
join(converse(top),meet(top,top)) = join(converse(top),meet(top,top)),
introduced(tautology,[refl,[$fot(join(converse(top),meet(top,top)))]]) ).
cnf(refute_0_840,plain,
( join(converse(top),meet(top,top)) != join(converse(top),meet(top,top))
| meet(top,top) != complement(zero)
| join(converse(top),meet(top,top)) = join(converse(top),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),meet(top,top)),join(converse(top),meet(top,top))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_0_841,plain,
( meet(top,top) != complement(zero)
| join(converse(top),meet(top,top)) = join(converse(top),complement(zero)) ),
inference(resolve,[$cnf( $equal(join(converse(top),meet(top,top)),join(converse(top),meet(top,top))) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
join(converse(top),meet(top,top)) = join(converse(top),complement(zero)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(zero)) )],[refute_0_543,refute_0_841]) ).
cnf(refute_0_843,plain,
( join(converse(top),complement(zero)) != converse(top)
| join(converse(top),meet(top,top)) != join(converse(top),complement(zero))
| join(converse(top),meet(top,top)) = converse(top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(converse(top),meet(top,top)))),bind(Y,$fot(join(converse(top),complement(zero)))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_844,plain,
( join(converse(top),complement(zero)) != converse(top)
| join(converse(top),meet(top,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(converse(top),meet(top,top)),join(converse(top),complement(zero))) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
join(converse(top),meet(top,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(converse(top),complement(zero)),converse(top)) )],[refute_0_838,refute_0_844]) ).
cnf(refute_0_846,plain,
( join(converse(top),meet(top,top)) != converse(top)
| top != join(converse(top),meet(top,top))
| top = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(top),meet(top,top))) ),[1],$fot(converse(top))]]) ).
cnf(refute_0_847,plain,
( top != join(converse(top),meet(top,top))
| top = converse(top) ),
inference(resolve,[$cnf( $equal(join(converse(top),meet(top,top)),converse(top)) )],[refute_0_845,refute_0_846]) ).
cnf(refute_0_848,plain,
( join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))) != join(converse(top),meet(top,top))
| top = converse(top) ),
inference(resolve,[$cnf( $equal(top,join(converse(top),meet(top,top))) )],[refute_0_799,refute_0_847]) ).
cnf(refute_0_849,plain,
top = converse(top),
inference(resolve,[$cnf( $equal(join(top,converse(join(X_49,complement(join(converse(meet(top,join(zero,zero))),X_49))))),join(converse(top),meet(top,top))) )],[refute_0_796,refute_0_848]) ).
cnf(refute_0_850,plain,
( top != converse(top)
| converse(top) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(converse(top)))]]) ).
cnf(refute_0_851,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(top,converse(top)) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
( converse(top) != join(X_10,converse(complement(converse(X_10))))
| converse(top) != top
| top = join(X_10,converse(complement(converse(X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_10,converse(complement(converse(X_10))))) ),[0],$fot(top)]]) ).
cnf(refute_0_853,plain,
( converse(top) != join(X_10,converse(complement(converse(X_10))))
| top = join(X_10,converse(complement(converse(X_10)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_851,refute_0_852]) ).
cnf(refute_0_854,plain,
top = join(X_10,converse(complement(converse(X_10)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_10,converse(complement(converse(X_10))))) )],[refute_0_662,refute_0_853]) ).
cnf(refute_0_855,plain,
top = join(complement(converse(zero)),converse(complement(converse(complement(converse(zero)))))),
inference(subst,[],[refute_0_854:[bind(X_10,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_856,plain,
top = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_854:[bind(X_10,$fot(zero))]]) ).
cnf(refute_0_857,plain,
converse(complement(converse(zero))) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_371:[bind(X_93,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_858,plain,
( converse(complement(converse(zero))) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(complement(converse(zero))))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_859,plain,
join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),join(zero,converse(complement(converse(zero))))) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
( join(zero,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| top != join(zero,converse(complement(converse(zero))))
| top = converse(complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,converse(complement(converse(zero))))) ),[1],$fot(converse(complement(converse(zero))))]]) ).
cnf(refute_0_861,plain,
( top != join(zero,converse(complement(converse(zero))))
| top = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_859,refute_0_860]) ).
cnf(refute_0_862,plain,
top = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(top,join(zero,converse(complement(converse(zero))))) )],[refute_0_856,refute_0_861]) ).
cnf(refute_0_863,plain,
( top != converse(complement(converse(zero)))
| converse(complement(converse(zero))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_864,plain,
converse(complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(top,converse(complement(converse(zero)))) )],[refute_0_862,refute_0_863]) ).
cnf(refute_0_865,plain,
( converse(complement(converse(zero))) != top
| top != join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))
| top = join(complement(converse(zero)),converse(complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_866,plain,
( top != join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))
| top = join(complement(converse(zero)),converse(complement(top))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
top = join(complement(converse(zero)),converse(complement(top))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))) )],[refute_0_855,refute_0_866]) ).
cnf(refute_0_868,plain,
converse(join(zero,converse(X0))) = join(converse(zero),X0),
inference(subst,[],[refute_0_668:[bind(X_4,$fot(zero))]]) ).
cnf(refute_0_869,plain,
converse(X0) = join(zero,converse(X0)),
inference(subst,[],[refute_0_371:[bind(X_93,$fot(converse(X0)))]]) ).
cnf(refute_0_870,plain,
( converse(X0) != join(zero,converse(X0))
| join(zero,converse(X0)) = converse(X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(X0))),bind(Y,$fot(join(zero,converse(X0))))]]) ).
cnf(refute_0_871,plain,
join(zero,converse(X0)) = converse(X0),
inference(resolve,[$cnf( $equal(converse(X0),join(zero,converse(X0))) )],[refute_0_869,refute_0_870]) ).
cnf(refute_0_872,plain,
( converse(join(zero,converse(X0))) != join(converse(zero),X0)
| join(zero,converse(X0)) != converse(X0)
| converse(converse(X0)) = join(converse(zero),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,converse(X0))),join(converse(zero),X0)) ),[0,0],$fot(converse(X0))]]) ).
cnf(refute_0_873,plain,
( converse(join(zero,converse(X0))) != join(converse(zero),X0)
| converse(converse(X0)) = join(converse(zero),X0) ),
inference(resolve,[$cnf( $equal(join(zero,converse(X0)),converse(X0)) )],[refute_0_871,refute_0_872]) ).
cnf(refute_0_874,plain,
converse(converse(X0)) = join(converse(zero),X0),
inference(resolve,[$cnf( $equal(converse(join(zero,converse(X0))),join(converse(zero),X0)) )],[refute_0_868,refute_0_873]) ).
cnf(refute_0_875,plain,
( converse(converse(X0)) != X0
| converse(converse(X0)) != join(converse(zero),X0)
| X0 = join(converse(zero),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),join(converse(zero),X0)) ),[0],$fot(X0)]]) ).
cnf(refute_0_876,plain,
( converse(converse(X0)) != join(converse(zero),X0)
| X0 = join(converse(zero),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_18,refute_0_875]) ).
cnf(refute_0_877,plain,
X0 = join(converse(zero),X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),join(converse(zero),X0)) )],[refute_0_874,refute_0_876]) ).
cnf(refute_0_878,plain,
( X0 != join(converse(zero),X0)
| join(converse(zero),X0) = X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X0)),bind(Y,$fot(join(converse(zero),X0)))]]) ).
cnf(refute_0_879,plain,
join(converse(zero),X0) = X0,
inference(resolve,[$cnf( $equal(X0,join(converse(zero),X0)) )],[refute_0_877,refute_0_878]) ).
cnf(refute_0_880,plain,
join(converse(zero),complement(converse(zero))) = complement(converse(zero)),
inference(subst,[],[refute_0_879:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_881,plain,
join(complement(converse(zero)),converse(zero)) = join(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(converse(zero))),bind(X1,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_882,plain,
( join(complement(converse(zero)),converse(zero)) != join(converse(zero),complement(converse(zero)))
| join(converse(zero),complement(converse(zero))) != complement(converse(zero))
| join(complement(converse(zero)),converse(zero)) = complement(converse(zero)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(converse(zero)),converse(zero)))),bind(Y,$fot(join(converse(zero),complement(converse(zero))))),bind(Z,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_883,plain,
( join(converse(zero),complement(converse(zero))) != complement(converse(zero))
| join(complement(converse(zero)),converse(zero)) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(zero)),join(converse(zero),complement(converse(zero)))) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
join(complement(converse(zero)),converse(zero)) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(join(converse(zero),complement(converse(zero))),complement(converse(zero))) )],[refute_0_880,refute_0_883]) ).
cnf(refute_0_885,plain,
converse(complement(top)) = converse(complement(top)),
introduced(tautology,[refl,[$fot(converse(complement(top)))]]) ).
cnf(refute_0_886,plain,
( complement(top) != zero
| converse(complement(top)) != converse(complement(top))
| converse(complement(top)) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(top)),converse(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_887,plain,
( complement(top) != zero
| converse(complement(top)) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(complement(top))) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
converse(complement(top)) = converse(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_887]) ).
cnf(refute_0_889,plain,
join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(complement(top))),
introduced(tautology,[refl,[$fot(join(complement(converse(zero)),converse(complement(top))))]]) ).
cnf(refute_0_890,plain,
( converse(complement(top)) != converse(zero)
| join(complement(converse(zero)),converse(complement(top))) != join(complement(converse(zero)),converse(complement(top)))
| join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(complement(top)))) ),[1,1],$fot(converse(zero))]]) ).
cnf(refute_0_891,plain,
( converse(complement(top)) != converse(zero)
| join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(complement(top)))) )],[refute_0_889,refute_0_890]) ).
cnf(refute_0_892,plain,
join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_0_888,refute_0_891]) ).
cnf(refute_0_893,plain,
( join(complement(converse(zero)),converse(complement(top))) != join(complement(converse(zero)),converse(zero))
| join(complement(converse(zero)),converse(zero)) != complement(converse(zero))
| join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(converse(zero)),converse(complement(top))))),bind(Y,$fot(join(complement(converse(zero)),converse(zero)))),bind(Z,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_894,plain,
( join(complement(converse(zero)),converse(zero)) != complement(converse(zero))
| join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(zero))) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(zero)),complement(converse(zero))) )],[refute_0_884,refute_0_894]) ).
cnf(refute_0_896,plain,
( join(complement(converse(zero)),converse(complement(top))) != complement(converse(zero))
| top != join(complement(converse(zero)),converse(complement(top)))
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(top)))) ),[1],$fot(complement(converse(zero)))]]) ).
cnf(refute_0_897,plain,
( top != join(complement(converse(zero)),converse(complement(top)))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),complement(converse(zero))) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(top)))) )],[refute_0_867,refute_0_897]) ).
cnf(refute_0_899,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_900,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))))]]) ).
cnf(refute_0_902,plain,
( complement(converse(zero)) != top
| composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) != composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))
| composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X1),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_903,plain,
( complement(converse(zero)) != top
| composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X1),top) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) )],[refute_0_901,refute_0_902]) ).
cnf(refute_0_904,plain,
composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X1),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_900,refute_0_903]) ).
cnf(refute_0_905,plain,
join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))))]]) ).
cnf(refute_0_906,plain,
( composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) != composition(complement(skolemFOFtoCNF_X1),top)
| join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) != join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))))
| join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X1),top))]]) ).
cnf(refute_0_907,plain,
( composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))) != composition(complement(skolemFOFtoCNF_X1),top)
| join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))))) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X1),complement(converse(zero))),composition(complement(skolemFOFtoCNF_X1),top)) )],[refute_0_904,refute_0_907]) ).
cnf(refute_0_909,plain,
( join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) != complement(skolemFOFtoCNF_X1)
| join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) != join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))
| join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) = complement(skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))),complement(skolemFOFtoCNF_X1)) ),[0],$fot(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)))]]) ).
cnf(refute_0_910,plain,
( join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))) != complement(skolemFOFtoCNF_X1)
| join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) = complement(skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))) )],[refute_0_908,refute_0_909]) ).
cnf(refute_0_911,plain,
join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) = complement(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),complement(converse(zero)))),complement(skolemFOFtoCNF_X1)) )],[refute_0_650,refute_0_910]) ).
cnf(refute_0_912,plain,
( composition(complement(skolemFOFtoCNF_X1),top) != meet(composition(complement(skolemFOFtoCNF_X1),top),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)))
| join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) != complement(skolemFOFtoCNF_X1)
| composition(complement(skolemFOFtoCNF_X1),top) = meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X1),top),meet(composition(complement(skolemFOFtoCNF_X1),top),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)))) ),[1,1],$fot(complement(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_913,plain,
( composition(complement(skolemFOFtoCNF_X1),top) != meet(composition(complement(skolemFOFtoCNF_X1),top),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)))
| composition(complement(skolemFOFtoCNF_X1),top) = meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),complement(skolemFOFtoCNF_X1)) )],[refute_0_911,refute_0_912]) ).
cnf(refute_0_914,plain,
composition(complement(skolemFOFtoCNF_X1),top) = meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X1),top),meet(composition(complement(skolemFOFtoCNF_X1),top),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)))) )],[refute_0_601,refute_0_913]) ).
cnf(refute_0_915,plain,
join(complement(X_30),complement(X_29)) = join(complement(X_29),complement(X_30)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(X_30))),bind(X1,$fot(complement(X_29)))]]) ).
cnf(refute_0_916,plain,
( join(complement(X_30),complement(X_29)) != join(complement(X_29),complement(X_30))
| join(complement(X_29),complement(X_30)) = join(complement(X_30),complement(X_29)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(X_30),complement(X_29)))),bind(Y,$fot(join(complement(X_29),complement(X_30))))]]) ).
cnf(refute_0_917,plain,
join(complement(X_29),complement(X_30)) = join(complement(X_30),complement(X_29)),
inference(resolve,[$cnf( $equal(join(complement(X_30),complement(X_29)),join(complement(X_29),complement(X_30))) )],[refute_0_915,refute_0_916]) ).
cnf(refute_0_918,plain,
( join(complement(X_29),complement(X_30)) != join(complement(X_30),complement(X_29))
| meet(X_29,X_30) != complement(join(complement(X_29),complement(X_30)))
| meet(X_29,X_30) = complement(join(complement(X_30),complement(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_29,X_30),complement(join(complement(X_29),complement(X_30)))) ),[1,0],$fot(join(complement(X_30),complement(X_29)))]]) ).
cnf(refute_0_919,plain,
( meet(X_29,X_30) != complement(join(complement(X_29),complement(X_30)))
| meet(X_29,X_30) = complement(join(complement(X_30),complement(X_29))) ),
inference(resolve,[$cnf( $equal(join(complement(X_29),complement(X_30)),join(complement(X_30),complement(X_29))) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
meet(X_29,X_30) = complement(join(complement(X_30),complement(X_29))),
inference(resolve,[$cnf( $equal(meet(X_29,X_30),complement(join(complement(X_29),complement(X_30)))) )],[refute_0_36,refute_0_919]) ).
cnf(refute_0_921,plain,
complement(join(complement(X_30),complement(X_29))) = meet(X_30,X_29),
inference(subst,[],[refute_0_78:[bind(X0,$fot(X_30)),bind(X1,$fot(X_29))]]) ).
cnf(refute_0_922,plain,
( complement(join(complement(X_30),complement(X_29))) != meet(X_30,X_29)
| meet(X_29,X_30) != complement(join(complement(X_30),complement(X_29)))
| meet(X_29,X_30) = meet(X_30,X_29) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_29,X_30),complement(join(complement(X_30),complement(X_29)))) ),[1],$fot(meet(X_30,X_29))]]) ).
cnf(refute_0_923,plain,
( meet(X_29,X_30) != complement(join(complement(X_30),complement(X_29)))
| meet(X_29,X_30) = meet(X_30,X_29) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_30),complement(X_29))),meet(X_30,X_29)) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
meet(X_29,X_30) = meet(X_30,X_29),
inference(resolve,[$cnf( $equal(meet(X_29,X_30),complement(join(complement(X_30),complement(X_29)))) )],[refute_0_920,refute_0_923]) ).
cnf(refute_0_925,plain,
( meet(X_29,X_30) != meet(X_30,X_29)
| meet(X_30,X_29) = meet(X_29,X_30) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_29,X_30))),bind(Y,$fot(meet(X_30,X_29)))]]) ).
cnf(refute_0_926,plain,
meet(X_30,X_29) = meet(X_29,X_30),
inference(resolve,[$cnf( $equal(meet(X_29,X_30),meet(X_30,X_29)) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1)) = meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),
inference(subst,[],[refute_0_926:[bind(X_29,$fot(complement(skolemFOFtoCNF_X1))),bind(X_30,$fot(composition(complement(skolemFOFtoCNF_X1),top)))]]) ).
cnf(refute_0_928,plain,
( composition(complement(skolemFOFtoCNF_X1),top) != meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1))
| meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1)) != meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))
| composition(complement(skolemFOFtoCNF_X1),top) = meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(skolemFOFtoCNF_X1),top),meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))) ),[0],$fot(meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_929,plain,
( composition(complement(skolemFOFtoCNF_X1),top) != meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1))
| composition(complement(skolemFOFtoCNF_X1),top) = meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1)),meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))) )],[refute_0_927,refute_0_928]) ).
cnf(refute_0_930,plain,
composition(complement(skolemFOFtoCNF_X1),top) = meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X1),top),meet(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1))) )],[refute_0_914,refute_0_929]) ).
cnf(refute_0_931,plain,
( composition(complement(skolemFOFtoCNF_X1),top) != meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))
| meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) = composition(complement(skolemFOFtoCNF_X1),top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(complement(skolemFOFtoCNF_X1),top))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))))]]) ).
cnf(refute_0_932,plain,
meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) = composition(complement(skolemFOFtoCNF_X1),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X1),top),meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top))) )],[refute_0_930,refute_0_931]) ).
cnf(refute_0_933,plain,
( complement(skolemFOFtoCNF_X1) != join(meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))))
| meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) != composition(complement(skolemFOFtoCNF_X1),top)
| complement(skolemFOFtoCNF_X1) = join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X1),join(meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X1),top))]]) ).
cnf(refute_0_934,plain,
( complement(skolemFOFtoCNF_X1) != join(meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))))
| complement(skolemFOFtoCNF_X1) = join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),composition(complement(skolemFOFtoCNF_X1),top)) )],[refute_0_932,refute_0_933]) ).
cnf(refute_0_935,plain,
complement(skolemFOFtoCNF_X1) = join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X1),join(meet(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))))) )],[refute_0_389,refute_0_934]) ).
cnf(refute_0_936,plain,
X1 = join(meet(X1,X1),complement(join(complement(X1),X1))),
inference(subst,[],[refute_0_88:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_937,plain,
( X1 != join(meet(X1,X1),complement(join(complement(X1),X1)))
| meet(X1,X1) != X1
| X1 = join(X1,complement(join(complement(X1),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(X1,join(meet(X1,X1),complement(join(complement(X1),X1)))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_938,plain,
( X1 != join(meet(X1,X1),complement(join(complement(X1),X1)))
| X1 = join(X1,complement(join(complement(X1),X1))) ),
inference(resolve,[$cnf( $equal(meet(X1,X1),X1) )],[refute_0_356,refute_0_937]) ).
cnf(refute_0_939,plain,
X1 = join(X1,complement(join(complement(X1),X1))),
inference(resolve,[$cnf( $equal(X1,join(meet(X1,X1),complement(join(complement(X1),X1)))) )],[refute_0_936,refute_0_938]) ).
cnf(refute_0_940,plain,
join(X1,complement(X1)) = top,
inference(subst,[],[refute_0_44:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_941,plain,
join(complement(X1),X1) = join(X1,complement(X1)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(X1)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_942,plain,
( join(X1,complement(X1)) != top
| join(complement(X1),X1) != join(X1,complement(X1))
| join(complement(X1),X1) = top ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(X1),X1))),bind(Y,$fot(join(X1,complement(X1)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_943,plain,
( join(X1,complement(X1)) != top
| join(complement(X1),X1) = top ),
inference(resolve,[$cnf( $equal(join(complement(X1),X1),join(X1,complement(X1))) )],[refute_0_941,refute_0_942]) ).
cnf(refute_0_944,plain,
join(complement(X1),X1) = top,
inference(resolve,[$cnf( $equal(join(X1,complement(X1)),top) )],[refute_0_940,refute_0_943]) ).
cnf(refute_0_945,plain,
complement(join(complement(X1),X1)) = complement(join(complement(X1),X1)),
introduced(tautology,[refl,[$fot(complement(join(complement(X1),X1)))]]) ).
cnf(refute_0_946,plain,
( complement(join(complement(X1),X1)) != complement(join(complement(X1),X1))
| join(complement(X1),X1) != top
| complement(join(complement(X1),X1)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X1),X1)),complement(join(complement(X1),X1))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_947,plain,
( join(complement(X1),X1) != top
| complement(join(complement(X1),X1)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X1),X1)),complement(join(complement(X1),X1))) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
complement(join(complement(X1),X1)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(X1),X1),top) )],[refute_0_944,refute_0_947]) ).
cnf(refute_0_949,plain,
( complement(join(complement(X1),X1)) != complement(top)
| complement(top) != zero
| complement(join(complement(X1),X1)) = zero ),
inference(subst,[],[refute_0_56:[bind(X,$fot(complement(join(complement(X1),X1)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_950,plain,
( complement(top) != zero
| complement(join(complement(X1),X1)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(X1),X1)),complement(top)) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
complement(join(complement(X1),X1)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_950]) ).
cnf(refute_0_952,plain,
join(X1,complement(join(complement(X1),X1))) = join(X1,complement(join(complement(X1),X1))),
introduced(tautology,[refl,[$fot(join(X1,complement(join(complement(X1),X1))))]]) ).
cnf(refute_0_953,plain,
( complement(join(complement(X1),X1)) != zero
| join(X1,complement(join(complement(X1),X1))) != join(X1,complement(join(complement(X1),X1)))
| join(X1,complement(join(complement(X1),X1))) = join(X1,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,complement(join(complement(X1),X1))),join(X1,complement(join(complement(X1),X1)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_954,plain,
( complement(join(complement(X1),X1)) != zero
| join(X1,complement(join(complement(X1),X1))) = join(X1,zero) ),
inference(resolve,[$cnf( $equal(join(X1,complement(join(complement(X1),X1))),join(X1,complement(join(complement(X1),X1)))) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
join(X1,complement(join(complement(X1),X1))) = join(X1,zero),
inference(resolve,[$cnf( $equal(complement(join(complement(X1),X1)),zero) )],[refute_0_951,refute_0_954]) ).
cnf(refute_0_956,plain,
( X1 != join(X1,complement(join(complement(X1),X1)))
| join(X1,complement(join(complement(X1),X1))) != join(X1,zero)
| X1 = join(X1,zero) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X1,join(X1,zero)) ),[0],$fot(join(X1,complement(join(complement(X1),X1))))]]) ).
cnf(refute_0_957,plain,
( X1 != join(X1,complement(join(complement(X1),X1)))
| X1 = join(X1,zero) ),
inference(resolve,[$cnf( $equal(join(X1,complement(join(complement(X1),X1))),join(X1,zero)) )],[refute_0_955,refute_0_956]) ).
cnf(refute_0_958,plain,
X1 = join(X1,zero),
inference(resolve,[$cnf( $equal(X1,join(X1,complement(join(complement(X1),X1)))) )],[refute_0_939,refute_0_957]) ).
cnf(refute_0_959,plain,
( X1 != join(X1,zero)
| join(X1,zero) = X1 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X1)),bind(Y,$fot(join(X1,zero)))]]) ).
cnf(refute_0_960,plain,
join(X1,zero) = X1,
inference(resolve,[$cnf( $equal(X1,join(X1,zero)) )],[refute_0_958,refute_0_959]) ).
cnf(refute_0_961,plain,
join(composition(complement(skolemFOFtoCNF_X1),top),zero) = composition(complement(skolemFOFtoCNF_X1),top),
inference(subst,[],[refute_0_960:[bind(X1,$fot(composition(complement(skolemFOFtoCNF_X1),top)))]]) ).
cnf(refute_0_962,plain,
composition(join(X0,join(one,skolemFOFtoCNF_X1)),top) = join(composition(X0,top),composition(join(one,skolemFOFtoCNF_X1),top)),
inference(subst,[],[refute_0_387:[bind(X1,$fot(join(one,skolemFOFtoCNF_X1))),bind(X2,$fot(top))]]) ).
cnf(refute_0_963,plain,
composition(join(X_58,skolemFOFtoCNF_X1),top) = join(composition(X_58,top),composition(skolemFOFtoCNF_X1,top)),
inference(subst,[],[refute_0_387:[bind(X0,$fot(X_58)),bind(X1,$fot(skolemFOFtoCNF_X1)),bind(X2,$fot(top))]]) ).
cnf(refute_0_964,plain,
( composition(join(X_58,skolemFOFtoCNF_X1),top) != join(composition(X_58,top),composition(skolemFOFtoCNF_X1,top))
| composition(skolemFOFtoCNF_X1,top) != skolemFOFtoCNF_X1
| composition(join(X_58,skolemFOFtoCNF_X1),top) = join(composition(X_58,top),skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_58,skolemFOFtoCNF_X1),top),join(composition(X_58,top),composition(skolemFOFtoCNF_X1,top))) ),[1,1],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_965,plain,
( composition(join(X_58,skolemFOFtoCNF_X1),top) != join(composition(X_58,top),composition(skolemFOFtoCNF_X1,top))
| composition(join(X_58,skolemFOFtoCNF_X1),top) = join(composition(X_58,top),skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X1,top),skolemFOFtoCNF_X1) )],[refute_0_605,refute_0_964]) ).
cnf(refute_0_966,plain,
composition(join(X_58,skolemFOFtoCNF_X1),top) = join(composition(X_58,top),skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(composition(join(X_58,skolemFOFtoCNF_X1),top),join(composition(X_58,top),composition(skolemFOFtoCNF_X1,top))) )],[refute_0_963,refute_0_965]) ).
cnf(refute_0_967,plain,
join(composition(X_58,top),skolemFOFtoCNF_X1) = join(skolemFOFtoCNF_X1,composition(X_58,top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(composition(X_58,top)))]]) ).
cnf(refute_0_968,plain,
( composition(join(X_58,skolemFOFtoCNF_X1),top) != join(composition(X_58,top),skolemFOFtoCNF_X1)
| join(composition(X_58,top),skolemFOFtoCNF_X1) != join(skolemFOFtoCNF_X1,composition(X_58,top))
| composition(join(X_58,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,composition(X_58,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_58,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(X_58,top))) ),[0],$fot(join(composition(X_58,top),skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_969,plain,
( composition(join(X_58,skolemFOFtoCNF_X1),top) != join(composition(X_58,top),skolemFOFtoCNF_X1)
| composition(join(X_58,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,composition(X_58,top)) ),
inference(resolve,[$cnf( $equal(join(composition(X_58,top),skolemFOFtoCNF_X1),join(skolemFOFtoCNF_X1,composition(X_58,top))) )],[refute_0_967,refute_0_968]) ).
cnf(refute_0_970,plain,
composition(join(X_58,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,composition(X_58,top)),
inference(resolve,[$cnf( $equal(composition(join(X_58,skolemFOFtoCNF_X1),top),join(composition(X_58,top),skolemFOFtoCNF_X1)) )],[refute_0_966,refute_0_969]) ).
cnf(refute_0_971,plain,
composition(join(one,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,composition(one,top)),
inference(subst,[],[refute_0_970:[bind(X_58,$fot(one))]]) ).
cnf(refute_0_972,plain,
top = composition(one,top),
inference(subst,[],[refute_0_141:[bind(X_13,$fot(top))]]) ).
cnf(refute_0_973,plain,
( top != composition(one,top)
| composition(one,top) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(composition(one,top)))]]) ).
cnf(refute_0_974,plain,
composition(one,top) = top,
inference(resolve,[$cnf( $equal(top,composition(one,top)) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
( composition(join(one,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(one,top))
| composition(one,top) != top
| composition(join(one,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_976,plain,
( composition(join(one,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(one,top))
| composition(join(one,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,top) ),
inference(resolve,[$cnf( $equal(composition(one,top),top) )],[refute_0_974,refute_0_975]) ).
cnf(refute_0_977,plain,
composition(join(one,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,top),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(one,top))) )],[refute_0_971,refute_0_976]) ).
cnf(refute_0_978,plain,
join(skolemFOFtoCNF_X1,top) = top,
inference(subst,[],[refute_0_270:[bind(X_43,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_979,plain,
( composition(join(one,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,top)
| join(skolemFOFtoCNF_X1,top) != top
| composition(join(one,skolemFOFtoCNF_X1),top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,skolemFOFtoCNF_X1),top),top) ),[0],$fot(join(skolemFOFtoCNF_X1,top))]]) ).
cnf(refute_0_980,plain,
( composition(join(one,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,top)
| composition(join(one,skolemFOFtoCNF_X1),top) = top ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,top),top) )],[refute_0_978,refute_0_979]) ).
cnf(refute_0_981,plain,
composition(join(one,skolemFOFtoCNF_X1),top) = top,
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,top)) )],[refute_0_977,refute_0_980]) ).
cnf(refute_0_982,plain,
( composition(join(X0,join(one,skolemFOFtoCNF_X1)),top) != join(composition(X0,top),composition(join(one,skolemFOFtoCNF_X1),top))
| composition(join(one,skolemFOFtoCNF_X1),top) != top
| composition(join(X0,join(one,skolemFOFtoCNF_X1)),top) = join(composition(X0,top),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(one,skolemFOFtoCNF_X1)),top),join(composition(X0,top),composition(join(one,skolemFOFtoCNF_X1),top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_983,plain,
( composition(join(X0,join(one,skolemFOFtoCNF_X1)),top) != join(composition(X0,top),composition(join(one,skolemFOFtoCNF_X1),top))
| composition(join(X0,join(one,skolemFOFtoCNF_X1)),top) = join(composition(X0,top),top) ),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X1),top),top) )],[refute_0_981,refute_0_982]) ).
cnf(refute_0_984,plain,
composition(join(X0,join(one,skolemFOFtoCNF_X1)),top) = join(composition(X0,top),top),
inference(resolve,[$cnf( $equal(composition(join(X0,join(one,skolemFOFtoCNF_X1)),top),join(composition(X0,top),composition(join(one,skolemFOFtoCNF_X1),top))) )],[refute_0_962,refute_0_983]) ).
cnf(refute_0_985,plain,
join(composition(X0,top),top) = top,
inference(subst,[],[refute_0_270:[bind(X_43,$fot(composition(X0,top)))]]) ).
cnf(refute_0_986,plain,
( composition(join(X0,join(one,skolemFOFtoCNF_X1)),top) != join(composition(X0,top),top)
| join(composition(X0,top),top) != top
| composition(join(X0,join(one,skolemFOFtoCNF_X1)),top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,join(one,skolemFOFtoCNF_X1)),top),top) ),[0],$fot(join(composition(X0,top),top))]]) ).
cnf(refute_0_987,plain,
( composition(join(X0,join(one,skolemFOFtoCNF_X1)),top) != join(composition(X0,top),top)
| composition(join(X0,join(one,skolemFOFtoCNF_X1)),top) = top ),
inference(resolve,[$cnf( $equal(join(composition(X0,top),top),top) )],[refute_0_985,refute_0_986]) ).
cnf(refute_0_988,plain,
composition(join(X0,join(one,skolemFOFtoCNF_X1)),top) = top,
inference(resolve,[$cnf( $equal(composition(join(X0,join(one,skolemFOFtoCNF_X1)),top),join(composition(X0,top),top)) )],[refute_0_984,refute_0_987]) ).
cnf(refute_0_989,plain,
composition(join(top,join(one,skolemFOFtoCNF_X1)),top) = top,
inference(subst,[],[refute_0_988:[bind(X0,$fot(top))]]) ).
cnf(refute_0_990,plain,
top = join(top,join(one,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_564:[bind(X_39,$fot(join(one,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_991,plain,
( top != join(top,join(one,skolemFOFtoCNF_X1))
| join(top,join(one,skolemFOFtoCNF_X1)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,join(one,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_992,plain,
join(top,join(one,skolemFOFtoCNF_X1)) = top,
inference(resolve,[$cnf( $equal(top,join(top,join(one,skolemFOFtoCNF_X1))) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
( composition(join(top,join(one,skolemFOFtoCNF_X1)),top) != top
| join(top,join(one,skolemFOFtoCNF_X1)) != top
| composition(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,join(one,skolemFOFtoCNF_X1)),top),top) ),[0,0],$fot(top)]]) ).
cnf(refute_0_994,plain,
( composition(join(top,join(one,skolemFOFtoCNF_X1)),top) != top
| composition(top,top) = top ),
inference(resolve,[$cnf( $equal(join(top,join(one,skolemFOFtoCNF_X1)),top) )],[refute_0_992,refute_0_993]) ).
cnf(refute_0_995,plain,
composition(top,top) = top,
inference(resolve,[$cnf( $equal(composition(join(top,join(one,skolemFOFtoCNF_X1)),top),top) )],[refute_0_989,refute_0_994]) ).
cnf(refute_0_996,plain,
join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)) = top,
inference(subst,[],[refute_0_44:[bind(X0,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_997,plain,
composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) = composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top),
introduced(tautology,[refl,[$fot(composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top))]]) ).
cnf(refute_0_998,plain,
( composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) != composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top)
| join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)) != top
| composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top),composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_999,plain,
( join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)) != top
| composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top),composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top)) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) = composition(top,top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) )],[refute_0_996,refute_0_999]) ).
cnf(refute_0_1001,plain,
( composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) != composition(top,top)
| composition(top,top) != top
| composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) = top ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top))),bind(Y,$fot(composition(top,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1002,plain,
( composition(top,top) != top
| composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) = top ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top),composition(top,top)) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) = top,
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_995,refute_0_1002]) ).
cnf(refute_0_1004,plain,
composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) = join(composition(X0,top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top)),
inference(subst,[],[refute_0_387:[bind(X1,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))),bind(X2,$fot(top))]]) ).
cnf(refute_0_1005,plain,
composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top)),
inference(subst,[],[refute_0_970:[bind(X_58,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1006,plain,
composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top)),
inference(subst,[],[refute_0_970:[bind(X_58,$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1007,plain,
composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,top)),
inference(subst,[],[refute_0_970:[bind(X_58,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1008,plain,
( composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,top))
| composition(skolemFOFtoCNF_X1,top) != skolemFOFtoCNF_X1
| composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,top))) ),[1,1],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_1009,plain,
( composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,top))
| composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X1,top),skolemFOFtoCNF_X1) )],[refute_0_605,refute_0_1008]) ).
cnf(refute_0_1010,plain,
composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,top))) )],[refute_0_1007,refute_0_1009]) ).
cnf(refute_0_1011,plain,
( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top))
| composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)
| composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top))) ),[1,1],$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1012,plain,
( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top))
| composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) )],[refute_0_1010,refute_0_1011]) ).
cnf(refute_0_1013,plain,
composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top))) )],[refute_0_1006,refute_0_1012]) ).
cnf(refute_0_1014,plain,
composition(join(X_61,skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,composition(X_61,top)),
inference(subst,[],[refute_0_970:[bind(X_58,$fot(X_61))]]) ).
cnf(refute_0_1015,plain,
join(skolemFOFtoCNF_X1,X_61) = join(X_61,skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_1:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(X_61))]]) ).
cnf(refute_0_1016,plain,
( join(skolemFOFtoCNF_X1,X_61) != join(X_61,skolemFOFtoCNF_X1)
| join(X_61,skolemFOFtoCNF_X1) = join(skolemFOFtoCNF_X1,X_61) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(skolemFOFtoCNF_X1,X_61))),bind(Y,$fot(join(X_61,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1017,plain,
join(X_61,skolemFOFtoCNF_X1) = join(skolemFOFtoCNF_X1,X_61),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,X_61),join(X_61,skolemFOFtoCNF_X1)) )],[refute_0_1015,refute_0_1016]) ).
cnf(refute_0_1018,plain,
( composition(join(X_61,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(X_61,top))
| join(X_61,skolemFOFtoCNF_X1) != join(skolemFOFtoCNF_X1,X_61)
| composition(join(skolemFOFtoCNF_X1,X_61),top) = join(skolemFOFtoCNF_X1,composition(X_61,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_61,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(X_61,top))) ),[0,0],$fot(join(skolemFOFtoCNF_X1,X_61))]]) ).
cnf(refute_0_1019,plain,
( composition(join(X_61,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(X_61,top))
| composition(join(skolemFOFtoCNF_X1,X_61),top) = join(skolemFOFtoCNF_X1,composition(X_61,top)) ),
inference(resolve,[$cnf( $equal(join(X_61,skolemFOFtoCNF_X1),join(skolemFOFtoCNF_X1,X_61)) )],[refute_0_1017,refute_0_1018]) ).
cnf(refute_0_1020,plain,
composition(join(skolemFOFtoCNF_X1,X_61),top) = join(skolemFOFtoCNF_X1,composition(X_61,top)),
inference(resolve,[$cnf( $equal(composition(join(X_61,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(X_61,top))) )],[refute_0_1014,refute_0_1019]) ).
cnf(refute_0_1021,plain,
( composition(join(X_58,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(X_58,top))
| join(skolemFOFtoCNF_X1,composition(X_58,top)) = composition(join(X_58,skolemFOFtoCNF_X1),top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_58,skolemFOFtoCNF_X1),top))),bind(Y,$fot(join(skolemFOFtoCNF_X1,composition(X_58,top))))]]) ).
cnf(refute_0_1022,plain,
join(skolemFOFtoCNF_X1,composition(X_58,top)) = composition(join(X_58,skolemFOFtoCNF_X1),top),
inference(resolve,[$cnf( $equal(composition(join(X_58,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(X_58,top))) )],[refute_0_970,refute_0_1021]) ).
cnf(refute_0_1023,plain,
join(skolemFOFtoCNF_X1,composition(X_61,top)) = composition(join(X_61,skolemFOFtoCNF_X1),top),
inference(subst,[],[refute_0_1022:[bind(X_58,$fot(X_61))]]) ).
cnf(refute_0_1024,plain,
( composition(join(skolemFOFtoCNF_X1,X_61),top) != join(skolemFOFtoCNF_X1,composition(X_61,top))
| join(skolemFOFtoCNF_X1,composition(X_61,top)) != composition(join(X_61,skolemFOFtoCNF_X1),top)
| composition(join(skolemFOFtoCNF_X1,X_61),top) = composition(join(X_61,skolemFOFtoCNF_X1),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(skolemFOFtoCNF_X1,X_61),top),composition(join(X_61,skolemFOFtoCNF_X1),top)) ),[0],$fot(join(skolemFOFtoCNF_X1,composition(X_61,top)))]]) ).
cnf(refute_0_1025,plain,
( composition(join(skolemFOFtoCNF_X1,X_61),top) != join(skolemFOFtoCNF_X1,composition(X_61,top))
| composition(join(skolemFOFtoCNF_X1,X_61),top) = composition(join(X_61,skolemFOFtoCNF_X1),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(X_61,top)),composition(join(X_61,skolemFOFtoCNF_X1),top)) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
composition(join(skolemFOFtoCNF_X1,X_61),top) = composition(join(X_61,skolemFOFtoCNF_X1),top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,X_61),top),join(skolemFOFtoCNF_X1,composition(X_61,top))) )],[refute_0_1020,refute_0_1025]) ).
cnf(refute_0_1027,plain,
( composition(join(skolemFOFtoCNF_X1,X_61),top) != composition(join(X_61,skolemFOFtoCNF_X1),top)
| composition(join(X_61,skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,X_61),top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(skolemFOFtoCNF_X1,X_61),top))),bind(Y,$fot(composition(join(X_61,skolemFOFtoCNF_X1),top)))]]) ).
cnf(refute_0_1028,plain,
composition(join(X_61,skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,X_61),top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,X_61),top),composition(join(X_61,skolemFOFtoCNF_X1),top)) )],[refute_0_1026,refute_0_1027]) ).
cnf(refute_0_1029,plain,
composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top),
inference(subst,[],[refute_0_1028:[bind(X_61,$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1030,plain,
( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top)
| composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) ),[0],$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top))]]) ).
cnf(refute_0_1031,plain,
( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top)) )],[refute_0_1029,refute_0_1030]) ).
cnf(refute_0_1032,plain,
composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) )],[refute_0_1013,refute_0_1031]) ).
cnf(refute_0_1033,plain,
( composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top))
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))
| composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top))) ),[1,1],$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1034,plain,
( composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top))
| composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) )],[refute_0_1032,refute_0_1033]) ).
cnf(refute_0_1035,plain,
composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),top))) )],[refute_0_1005,refute_0_1034]) ).
cnf(refute_0_1036,plain,
composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top),
inference(subst,[],[refute_0_1028:[bind(X_61,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1037,plain,
( composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top)
| composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) ),[0],$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top))]]) ).
cnf(refute_0_1038,plain,
( composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top)) )],[refute_0_1036,refute_0_1037]) ).
cnf(refute_0_1039,plain,
composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) )],[refute_0_1035,refute_0_1038]) ).
cnf(refute_0_1040,plain,
( composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) != join(composition(X0,top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top))
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))
| composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) = join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top),join(composition(X0,top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top))) ),[1,1],$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1041,plain,
( composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) != join(composition(X0,top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top))
| composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) = join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) )],[refute_0_1039,refute_0_1040]) ).
cnf(refute_0_1042,plain,
composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) = join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),
inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top),join(composition(X0,top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),top))) )],[refute_0_1004,refute_0_1041]) ).
cnf(refute_0_1043,plain,
composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top),
inference(subst,[],[refute_0_1028:[bind(X_61,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_1044,plain,
join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) = composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),skolemFOFtoCNF_X1),top),
inference(subst,[],[refute_0_1022:[bind(X_58,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_1045,plain,
( composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)
| join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) != composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),skolemFOFtoCNF_X1),top)
| join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)))),bind(Y,$fot(composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),skolemFOFtoCNF_X1),top))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)))]]) ).
cnf(refute_0_1046,plain,
( composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)
| join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)),composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),skolemFOFtoCNF_X1),top)) )],[refute_0_1044,refute_0_1045]) ).
cnf(refute_0_1047,plain,
join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),skolemFOFtoCNF_X1),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)) )],[refute_0_1043,refute_0_1046]) ).
cnf(refute_0_1048,plain,
composition(join(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top),
inference(subst,[],[refute_0_1028:[bind(X_61,$fot(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1049,plain,
join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) = composition(join(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top),
inference(subst,[],[refute_0_1022:[bind(X_58,$fot(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1050,plain,
( composition(join(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
| join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) != composition(join(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top)
| join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)))),bind(Y,$fot(composition(join(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)))]]) ).
cnf(refute_0_1051,plain,
( composition(join(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
| join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)),composition(join(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top)) )],[refute_0_1049,refute_0_1050]) ).
cnf(refute_0_1052,plain,
join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) )],[refute_0_1048,refute_0_1051]) ).
cnf(refute_0_1053,plain,
composition(join(join(X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top),
inference(subst,[],[refute_0_1028:[bind(X_61,$fot(join(X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1054,plain,
join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) = composition(join(join(X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),
inference(subst,[],[refute_0_1022:[bind(X_58,$fot(join(X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1055,plain,
( composition(join(join(X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
| join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) != composition(join(join(X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top)
| join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)))),bind(Y,$fot(composition(join(join(X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)))]]) ).
cnf(refute_0_1056,plain,
( composition(join(join(X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
| join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)),composition(join(join(X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top)) )],[refute_0_1054,refute_0_1055]) ).
cnf(refute_0_1057,plain,
join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top),
inference(resolve,[$cnf( $equal(composition(join(join(X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) )],[refute_0_1053,refute_0_1056]) ).
cnf(refute_0_1058,plain,
join(skolemFOFtoCNF_X1,composition(X0,top)) = composition(join(X0,skolemFOFtoCNF_X1),top),
inference(subst,[],[refute_0_1022:[bind(X_58,$fot(X0))]]) ).
cnf(refute_0_1059,plain,
join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))))]]) ).
cnf(refute_0_1060,plain,
( join(skolemFOFtoCNF_X1,composition(X0,top)) != composition(join(X0,skolemFOFtoCNF_X1),top)
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) = join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))) ),[1,1],$fot(composition(join(X0,skolemFOFtoCNF_X1),top))]]) ).
cnf(refute_0_1061,plain,
( join(skolemFOFtoCNF_X1,composition(X0,top)) != composition(join(X0,skolemFOFtoCNF_X1),top)
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) = join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))) )],[refute_0_1059,refute_0_1060]) ).
cnf(refute_0_1062,plain,
join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) = join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(X0,top)),composition(join(X0,skolemFOFtoCNF_X1),top)) )],[refute_0_1058,refute_0_1061]) ).
cnf(refute_0_1063,plain,
( join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) != join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top))
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))))),bind(Y,$fot(join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)))]]) ).
cnf(refute_0_1064,plain,
( join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))),join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top))) )],[refute_0_1062,refute_0_1063]) ).
cnf(refute_0_1065,plain,
join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(join(X0,skolemFOFtoCNF_X1),top)),composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) )],[refute_0_1057,refute_0_1064]) ).
cnf(refute_0_1066,plain,
join(skolemFOFtoCNF_X1,join(composition(X0,top),skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))),
inference(subst,[],[refute_0_754:[bind(X_39,$fot(skolemFOFtoCNF_X1)),bind(X_40,$fot(composition(X0,top))),bind(X_41,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1067,plain,
join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X1,join(composition(X0,top),skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_487:[bind(X_39,$fot(skolemFOFtoCNF_X1)),bind(X_40,$fot(composition(X0,top))),bind(X_41,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1068,plain,
( join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) != join(skolemFOFtoCNF_X1,join(composition(X0,top),skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X1,join(composition(X0,top),skolemFOFtoCNF_X1)) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))
| join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),bind(Y,$fot(join(skolemFOFtoCNF_X1,join(composition(X0,top),skolemFOFtoCNF_X1)))),bind(Z,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))))]]) ).
cnf(refute_0_1069,plain,
( join(skolemFOFtoCNF_X1,join(composition(X0,top),skolemFOFtoCNF_X1)) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))
| join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,join(composition(X0,top),skolemFOFtoCNF_X1))) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(X0,top),skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))) )],[refute_0_1066,refute_0_1069]) ).
cnf(refute_0_1071,plain,
( join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
| join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),bind(Y,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)))]]) ).
cnf(refute_0_1072,plain,
( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
| join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) ),
inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top)))) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X0,top))),composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) )],[refute_0_1065,refute_0_1072]) ).
cnf(refute_0_1074,plain,
join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1075,plain,
( join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
| join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))
| join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) ),[1,1],$fot(composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top))]]) ).
cnf(refute_0_1076,plain,
( join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
| join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) )],[refute_0_1074,refute_0_1075]) ).
cnf(refute_0_1077,plain,
join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)),
inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) )],[refute_0_1073,refute_0_1076]) ).
cnf(refute_0_1078,plain,
( join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
| join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top))
| join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))),bind(Y,$fot(join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)))]]) ).
cnf(refute_0_1079,plain,
( join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
| join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top))) )],[refute_0_1077,refute_0_1078]) ).
cnf(refute_0_1080,plain,
join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) )],[refute_0_1052,refute_0_1079]) ).
cnf(refute_0_1081,plain,
join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_487:[bind(X_39,$fot(skolemFOFtoCNF_X1)),bind(X_40,$fot(composition(X0,top))),bind(X_41,$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1082,plain,
( join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))
| join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
| join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))),bind(Y,$fot(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)))]]) ).
cnf(refute_0_1083,plain,
( join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
| join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top) ),
inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) )],[refute_0_1081,refute_0_1082]) ).
cnf(refute_0_1084,plain,
join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) )],[refute_0_1080,refute_0_1083]) ).
cnf(refute_0_1085,plain,
join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) = join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_1086,plain,
( join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
| join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) != join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))
| join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) = join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))) ),[1,1],$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top))]]) ).
cnf(refute_0_1087,plain,
( join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)
| join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) = join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) = join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)),
inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) )],[refute_0_1084,refute_0_1087]) ).
cnf(refute_0_1089,plain,
( join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)
| join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) != join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top))
| join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))))),bind(Y,$fot(join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)))]]) ).
cnf(refute_0_1090,plain,
( join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)
| join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top))) )],[refute_0_1088,refute_0_1089]) ).
cnf(refute_0_1091,plain,
join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),top)),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)) )],[refute_0_1047,refute_0_1090]) ).
cnf(refute_0_1092,plain,
join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) = join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),
inference(subst,[],[refute_0_487:[bind(X_39,$fot(skolemFOFtoCNF_X1)),bind(X_40,$fot(composition(X0,top))),bind(X_41,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1093,plain,
( join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) != join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))
| join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)
| join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))))),bind(Y,$fot(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)))]]) ).
cnf(refute_0_1094,plain,
( join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)
| join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) ),
inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))) )],[refute_0_1092,refute_0_1093]) ).
cnf(refute_0_1095,plain,
join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)) )],[refute_0_1091,refute_0_1094]) ).
cnf(refute_0_1096,plain,
( composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) != join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))
| join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)
| composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)) ),[0],$fot(join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_1097,plain,
( composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) != join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))
| composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) ),
inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top),
inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top),join(composition(X0,top),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))) )],[refute_0_1042,refute_0_1097]) ).
cnf(refute_0_1099,plain,
join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) = complement(complement(skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_10:[bind(X0,$fot(converse(skolemFOFtoCNF_X1))),bind(X1,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1100,plain,
( composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)) != zero
| join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) != complement(complement(skolemFOFtoCNF_X1))
| join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = complement(complement(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))),complement(complement(skolemFOFtoCNF_X1))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_1101,plain,
( join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))) != complement(complement(skolemFOFtoCNF_X1))
| join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = complement(complement(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1)),zero) )],[refute_0_622,refute_0_1100]) ).
cnf(refute_0_1102,plain,
join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = complement(complement(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(composition(converse(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X1))))),complement(complement(skolemFOFtoCNF_X1))) )],[refute_0_1099,refute_0_1101]) ).
cnf(refute_0_1103,plain,
converse(converse(skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X1,
inference(subst,[],[refute_0_18:[bind(X0,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1104,plain,
composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)) = composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)))]]) ).
cnf(refute_0_1105,plain,
( composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)) != composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))
| converse(converse(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
| composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)) = composition(skolemFOFtoCNF_X1,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) ),[1,0],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_1106,plain,
( converse(converse(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
| composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)) = composition(skolemFOFtoCNF_X1,complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) )],[refute_0_1104,refute_0_1105]) ).
cnf(refute_0_1107,plain,
composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)) = composition(skolemFOFtoCNF_X1,complement(zero)),
inference(resolve,[$cnf( $equal(converse(converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) )],[refute_0_1103,refute_0_1106]) ).
cnf(refute_0_1108,plain,
join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))))]]) ).
cnf(refute_0_1109,plain,
( composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)) != composition(skolemFOFtoCNF_X1,complement(zero))
| join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) != join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)))
| join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)))) ),[1,1],$fot(composition(skolemFOFtoCNF_X1,complement(zero)))]]) ).
cnf(refute_0_1110,plain,
( composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)) != composition(skolemFOFtoCNF_X1,complement(zero))
| join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)))) )],[refute_0_1108,refute_0_1109]) ).
cnf(refute_0_1111,plain,
join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))),
inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)),composition(skolemFOFtoCNF_X1,complement(zero))) )],[refute_0_1107,refute_0_1110]) ).
cnf(refute_0_1112,plain,
complement(complement(skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X1,
inference(subst,[],[refute_0_352:[bind(X_93,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1113,plain,
join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))))]]) ).
cnf(refute_0_1114,plain,
( complement(complement(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
| join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) != join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)))
| join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)))) ),[1,0],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_1115,plain,
( complement(complement(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
| join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)))) )],[refute_0_1113,refute_0_1114]) ).
cnf(refute_0_1116,plain,
join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) )],[refute_0_1112,refute_0_1115]) ).
cnf(refute_0_1117,plain,
( join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) != join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)))
| join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) != join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero)))
| join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))))),bind(Y,$fot(join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))))),bind(Z,$fot(join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero)))))]]) ).
cnf(refute_0_1118,plain,
( join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) != join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero)))
| join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero)))) )],[refute_0_1116,refute_0_1117]) ).
cnf(refute_0_1119,plain,
join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) = join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero)))) )],[refute_0_1111,refute_0_1118]) ).
cnf(refute_0_1120,plain,
( join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) != complement(complement(skolemFOFtoCNF_X1))
| join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) != join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero)))
| join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) = complement(complement(skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),complement(complement(skolemFOFtoCNF_X1))) ),[0],$fot(join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))))]]) ).
cnf(refute_0_1121,plain,
( join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) != complement(complement(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) = complement(complement(skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero)))) )],[refute_0_1119,refute_0_1120]) ).
cnf(refute_0_1122,plain,
( complement(complement(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
| join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) != complement(complement(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) = skolemFOFtoCNF_X1 ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))),complement(complement(skolemFOFtoCNF_X1))) ),[1],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_1123,plain,
( join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) != complement(complement(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) = skolemFOFtoCNF_X1 ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) )],[refute_0_1112,refute_0_1122]) ).
cnf(refute_0_1124,plain,
( join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))) != complement(complement(skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) = skolemFOFtoCNF_X1 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))),complement(complement(skolemFOFtoCNF_X1))) )],[refute_0_1121,refute_0_1123]) ).
cnf(refute_0_1125,plain,
join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) = skolemFOFtoCNF_X1,
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(converse(converse(skolemFOFtoCNF_X1)),complement(zero))),complement(complement(skolemFOFtoCNF_X1))) )],[refute_0_1102,refute_0_1124]) ).
cnf(refute_0_1126,plain,
top = join(zero,complement(zero)),
inference(subst,[],[refute_0_42:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_1127,plain,
complement(zero) = join(zero,complement(zero)),
inference(subst,[],[refute_0_371:[bind(X_93,$fot(complement(zero)))]]) ).
cnf(refute_0_1128,plain,
( complement(zero) != join(zero,complement(zero))
| join(zero,complement(zero)) = complement(zero) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(zero))),bind(Y,$fot(join(zero,complement(zero))))]]) ).
cnf(refute_0_1129,plain,
join(zero,complement(zero)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(zero),join(zero,complement(zero))) )],[refute_0_1127,refute_0_1128]) ).
cnf(refute_0_1130,plain,
( join(zero,complement(zero)) != complement(zero)
| top != join(zero,complement(zero))
| top = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,complement(zero))) ),[1],$fot(complement(zero))]]) ).
cnf(refute_0_1131,plain,
( top != join(zero,complement(zero))
| top = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(zero)),complement(zero)) )],[refute_0_1129,refute_0_1130]) ).
cnf(refute_0_1132,plain,
top = complement(zero),
inference(resolve,[$cnf( $equal(top,join(zero,complement(zero))) )],[refute_0_1126,refute_0_1131]) ).
cnf(refute_0_1133,plain,
( top != complement(zero)
| complement(zero) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(complement(zero)))]]) ).
cnf(refute_0_1134,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(top,complement(zero)) )],[refute_0_1132,refute_0_1133]) ).
cnf(refute_0_1135,plain,
composition(skolemFOFtoCNF_X1,complement(zero)) = composition(skolemFOFtoCNF_X1,complement(zero)),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X1,complement(zero)))]]) ).
cnf(refute_0_1136,plain,
( complement(zero) != top
| composition(skolemFOFtoCNF_X1,complement(zero)) != composition(skolemFOFtoCNF_X1,complement(zero))
| composition(skolemFOFtoCNF_X1,complement(zero)) = composition(skolemFOFtoCNF_X1,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X1,complement(zero)),composition(skolemFOFtoCNF_X1,complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1137,plain,
( complement(zero) != top
| composition(skolemFOFtoCNF_X1,complement(zero)) = composition(skolemFOFtoCNF_X1,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X1,complement(zero)),composition(skolemFOFtoCNF_X1,complement(zero))) )],[refute_0_1135,refute_0_1136]) ).
cnf(refute_0_1138,plain,
composition(skolemFOFtoCNF_X1,complement(zero)) = composition(skolemFOFtoCNF_X1,top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1134,refute_0_1137]) ).
cnf(refute_0_1139,plain,
( composition(skolemFOFtoCNF_X1,complement(zero)) != composition(skolemFOFtoCNF_X1,top)
| composition(skolemFOFtoCNF_X1,top) != skolemFOFtoCNF_X1
| composition(skolemFOFtoCNF_X1,complement(zero)) = skolemFOFtoCNF_X1 ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(skolemFOFtoCNF_X1,complement(zero)))),bind(Y,$fot(composition(skolemFOFtoCNF_X1,top))),bind(Z,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1140,plain,
( composition(skolemFOFtoCNF_X1,top) != skolemFOFtoCNF_X1
| composition(skolemFOFtoCNF_X1,complement(zero)) = skolemFOFtoCNF_X1 ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X1,complement(zero)),composition(skolemFOFtoCNF_X1,top)) )],[refute_0_1138,refute_0_1139]) ).
cnf(refute_0_1141,plain,
composition(skolemFOFtoCNF_X1,complement(zero)) = skolemFOFtoCNF_X1,
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X1,top),skolemFOFtoCNF_X1) )],[refute_0_605,refute_0_1140]) ).
cnf(refute_0_1142,plain,
join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) = join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))))]]) ).
cnf(refute_0_1143,plain,
( composition(skolemFOFtoCNF_X1,complement(zero)) != skolemFOFtoCNF_X1
| join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) != join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero)))
| join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) = join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))),join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero)))) ),[1,1],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_1144,plain,
( composition(skolemFOFtoCNF_X1,complement(zero)) != skolemFOFtoCNF_X1
| join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) = join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))),join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero)))) )],[refute_0_1142,refute_0_1143]) ).
cnf(refute_0_1145,plain,
join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) = join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X1,complement(zero)),skolemFOFtoCNF_X1) )],[refute_0_1141,refute_0_1144]) ).
cnf(refute_0_1146,plain,
( join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) != join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)
| join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) != skolemFOFtoCNF_X1
| join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) = skolemFOFtoCNF_X1 ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))),skolemFOFtoCNF_X1) ),[0],$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1147,plain,
( join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) != skolemFOFtoCNF_X1
| join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) = skolemFOFtoCNF_X1 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) )],[refute_0_1145,refute_0_1146]) ).
cnf(refute_0_1148,plain,
join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) = skolemFOFtoCNF_X1,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))),skolemFOFtoCNF_X1) )],[refute_0_1125,refute_0_1147]) ).
cnf(refute_0_1149,plain,
join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))),X2),
inference(subst,[],[refute_0_242:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(composition(skolemFOFtoCNF_X1,complement(zero))))]]) ).
cnf(refute_0_1150,plain,
( join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))) != skolemFOFtoCNF_X1
| join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) != join(join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))),X2)
| join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(skolemFOFtoCNF_X1,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),join(join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))),X2)) ),[1,0],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_1151,plain,
( join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) != join(join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))),X2)
| join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(skolemFOFtoCNF_X1,X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))),skolemFOFtoCNF_X1) )],[refute_0_1125,refute_0_1150]) ).
cnf(refute_0_1152,plain,
join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(skolemFOFtoCNF_X1,X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),join(join(skolemFOFtoCNF_X1,composition(skolemFOFtoCNF_X1,complement(zero))),X2)) )],[refute_0_1149,refute_0_1151]) ).
cnf(refute_0_1153,plain,
join(composition(skolemFOFtoCNF_X1,complement(zero)),X2) = join(composition(skolemFOFtoCNF_X1,complement(zero)),X2),
introduced(tautology,[refl,[$fot(join(composition(skolemFOFtoCNF_X1,complement(zero)),X2))]]) ).
cnf(refute_0_1154,plain,
( composition(skolemFOFtoCNF_X1,complement(zero)) != skolemFOFtoCNF_X1
| join(composition(skolemFOFtoCNF_X1,complement(zero)),X2) != join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)
| join(composition(skolemFOFtoCNF_X1,complement(zero)),X2) = join(skolemFOFtoCNF_X1,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(skolemFOFtoCNF_X1,complement(zero)),X2),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) ),[1,0],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_1155,plain,
( composition(skolemFOFtoCNF_X1,complement(zero)) != skolemFOFtoCNF_X1
| join(composition(skolemFOFtoCNF_X1,complement(zero)),X2) = join(skolemFOFtoCNF_X1,X2) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X1,complement(zero)),X2),join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) )],[refute_0_1153,refute_0_1154]) ).
cnf(refute_0_1156,plain,
join(composition(skolemFOFtoCNF_X1,complement(zero)),X2) = join(skolemFOFtoCNF_X1,X2),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X1,complement(zero)),skolemFOFtoCNF_X1) )],[refute_0_1141,refute_0_1155]) ).
cnf(refute_0_1157,plain,
join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)))]]) ).
cnf(refute_0_1158,plain,
( join(composition(skolemFOFtoCNF_X1,complement(zero)),X2) != join(skolemFOFtoCNF_X1,X2)
| join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) != join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2))
| join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2))) ),[1,1],$fot(join(skolemFOFtoCNF_X1,X2))]]) ).
cnf(refute_0_1159,plain,
( join(composition(skolemFOFtoCNF_X1,complement(zero)),X2) != join(skolemFOFtoCNF_X1,X2)
| join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2))) )],[refute_0_1157,refute_0_1158]) ).
cnf(refute_0_1160,plain,
join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X1,complement(zero)),X2),join(skolemFOFtoCNF_X1,X2)) )],[refute_0_1156,refute_0_1159]) ).
cnf(refute_0_1161,plain,
( join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) != join(skolemFOFtoCNF_X1,X2)
| join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2))
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)) = join(skolemFOFtoCNF_X1,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),join(skolemFOFtoCNF_X1,X2)) ),[0],$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)))]]) ).
cnf(refute_0_1162,plain,
( join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)) != join(skolemFOFtoCNF_X1,X2)
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)) = join(skolemFOFtoCNF_X1,X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2))) )],[refute_0_1160,refute_0_1161]) ).
cnf(refute_0_1163,plain,
join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X2)) = join(skolemFOFtoCNF_X1,X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(composition(skolemFOFtoCNF_X1,complement(zero)),X2)),join(skolemFOFtoCNF_X1,X2)) )],[refute_0_1152,refute_0_1162]) ).
cnf(refute_0_1164,plain,
join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_1163:[bind(X2,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1165,plain,
( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) != join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)
| join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) != skolemFOFtoCNF_X1
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X1 ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),bind(Y,$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),bind(Z,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1166,plain,
( join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1) != skolemFOFtoCNF_X1
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X1 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) )],[refute_0_1164,refute_0_1165]) ).
cnf(refute_0_1167,plain,
join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) = skolemFOFtoCNF_X1,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1) )],[refute_0_1148,refute_0_1166]) ).
cnf(refute_0_1168,plain,
join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_1163:[bind(X2,$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1169,plain,
( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = skolemFOFtoCNF_X1 ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))),bind(Y,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),bind(Z,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1170,plain,
( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = skolemFOFtoCNF_X1 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) )],[refute_0_1168,refute_0_1169]) ).
cnf(refute_0_1171,plain,
join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) = skolemFOFtoCNF_X1,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) )],[refute_0_1167,refute_0_1170]) ).
cnf(refute_0_1172,plain,
join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) = join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),
introduced(tautology,[refl,[$fot(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))))]]) ).
cnf(refute_0_1173,plain,
( join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) != join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != skolemFOFtoCNF_X1
| join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) = join(X0,skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))) ),[1,1],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_1174,plain,
( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))) != skolemFOFtoCNF_X1
| join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) = join(X0,skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))))) )],[refute_0_1172,refute_0_1173]) ).
cnf(refute_0_1175,plain,
join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) = join(X0,skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),skolemFOFtoCNF_X1) )],[refute_0_1171,refute_0_1174]) ).
cnf(refute_0_1176,plain,
composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) = composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top),
introduced(tautology,[refl,[$fot(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top))]]) ).
cnf(refute_0_1177,plain,
( composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) != composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top)
| join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) != join(X0,skolemFOFtoCNF_X1)
| composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) = composition(join(X0,skolemFOFtoCNF_X1),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top),composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top)) ),[1,0],$fot(join(X0,skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1178,plain,
( join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))) != join(X0,skolemFOFtoCNF_X1)
| composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) = composition(join(X0,skolemFOFtoCNF_X1),top) ),
inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top),composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top)) )],[refute_0_1176,refute_0_1177]) ).
cnf(refute_0_1179,plain,
composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) = composition(join(X0,skolemFOFtoCNF_X1),top),
inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),join(X0,skolemFOFtoCNF_X1)) )],[refute_0_1175,refute_0_1178]) ).
cnf(refute_0_1180,plain,
( composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) != composition(join(X0,skolemFOFtoCNF_X1),top)
| composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)
| composition(join(X0,skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)) ),[0],$fot(composition(join(X0,skolemFOFtoCNF_X1),top))]]) ).
cnf(refute_0_1181,plain,
( composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)
| composition(join(X0,skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) ),
inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top),composition(join(X0,skolemFOFtoCNF_X1),top)) )],[refute_0_1179,refute_0_1180]) ).
cnf(refute_0_1182,plain,
composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) = join(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),composition(X1,top)),
inference(subst,[],[refute_0_387:[bind(X0,$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))),bind(X2,$fot(top))]]) ).
cnf(refute_0_1183,plain,
( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) != join(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),composition(X1,top))
| composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top) != join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)
| composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) = join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top),join(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),composition(X1,top))) ),[1,0],$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1184,plain,
( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) != join(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),composition(X1,top))
| composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) = join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)) )],[refute_0_1010,refute_0_1183]) ).
cnf(refute_0_1185,plain,
composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) = join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top),join(composition(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),top),composition(X1,top))) )],[refute_0_1182,refute_0_1184]) ).
cnf(refute_0_1186,plain,
join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),
inference(subst,[],[refute_0_404:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(skolemFOFtoCNF_X1)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_1187,plain,
composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) = composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top),
introduced(tautology,[refl,[$fot(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top))]]) ).
cnf(refute_0_1188,plain,
( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) != composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top)
| join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1))
| composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top),composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top)) ),[1,0],$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)))]]) ).
cnf(refute_0_1189,plain,
( join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1))
| composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) ),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top),composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top)) )],[refute_0_1187,refute_0_1188]) ).
cnf(refute_0_1190,plain,
composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1))) )],[refute_0_1186,refute_0_1189]) ).
cnf(refute_0_1191,plain,
( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top)
| composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) != join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top))
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top),join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top))) ),[0],$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top))]]) ).
cnf(refute_0_1192,plain,
( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) != join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top))
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) ),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top)) )],[refute_0_1190,refute_0_1191]) ).
cnf(refute_0_1193,plain,
composition(join(join(X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top),
inference(subst,[],[refute_0_1028:[bind(X_61,$fot(join(X1,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1194,plain,
join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) = composition(join(join(X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),
inference(subst,[],[refute_0_1022:[bind(X_58,$fot(join(X1,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1195,plain,
( composition(join(join(X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
| join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) != composition(join(join(X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top)
| join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)))),bind(Y,$fot(composition(join(join(X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)))]]) ).
cnf(refute_0_1196,plain,
( composition(join(join(X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
| join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)),composition(join(join(X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top)) )],[refute_0_1194,refute_0_1195]) ).
cnf(refute_0_1197,plain,
join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top),
inference(resolve,[$cnf( $equal(composition(join(join(X1,skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)) )],[refute_0_1193,refute_0_1196]) ).
cnf(refute_0_1198,plain,
join(skolemFOFtoCNF_X1,composition(X1,top)) = composition(join(X1,skolemFOFtoCNF_X1),top),
inference(subst,[],[refute_0_1022:[bind(X_58,$fot(X1))]]) ).
cnf(refute_0_1199,plain,
join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))))]]) ).
cnf(refute_0_1200,plain,
( join(skolemFOFtoCNF_X1,composition(X1,top)) != composition(join(X1,skolemFOFtoCNF_X1),top)
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top)))
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) = join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top)))) ),[1,1],$fot(composition(join(X1,skolemFOFtoCNF_X1),top))]]) ).
cnf(refute_0_1201,plain,
( join(skolemFOFtoCNF_X1,composition(X1,top)) != composition(join(X1,skolemFOFtoCNF_X1),top)
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) = join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top)))) )],[refute_0_1199,refute_0_1200]) ).
cnf(refute_0_1202,plain,
join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) = join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(X1,top)),composition(join(X1,skolemFOFtoCNF_X1),top)) )],[refute_0_1198,refute_0_1201]) ).
cnf(refute_0_1203,plain,
( join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) != join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top))
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))))),bind(Y,$fot(join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)))]]) ).
cnf(refute_0_1204,plain,
( join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))),join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top))) )],[refute_0_1202,refute_0_1203]) ).
cnf(refute_0_1205,plain,
join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(join(X1,skolemFOFtoCNF_X1),top)),composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)) )],[refute_0_1197,refute_0_1204]) ).
cnf(refute_0_1206,plain,
join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))),
inference(subst,[],[refute_0_404:[bind(X0,$fot(skolemFOFtoCNF_X1)),bind(X1,$fot(skolemFOFtoCNF_X1)),bind(X2,$fot(composition(X1,top)))]]) ).
cnf(refute_0_1207,plain,
( join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top)))
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
| join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)))),bind(Y,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)))]]) ).
cnf(refute_0_1208,plain,
( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
| join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top)))) )],[refute_0_1206,refute_0_1207]) ).
cnf(refute_0_1209,plain,
join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,composition(X1,top))),composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)) )],[refute_0_1205,refute_0_1208]) ).
cnf(refute_0_1210,plain,
( composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) != join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top))
| join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)) ),[0],$fot(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)))]]) ).
cnf(refute_0_1211,plain,
( composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) != join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top))
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top)),composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)) )],[refute_0_1209,refute_0_1210]) ).
cnf(refute_0_1212,plain,
( composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top) != join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top))
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top))) )],[refute_0_1192,refute_0_1211]) ).
cnf(refute_0_1213,plain,
composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),X1),top),join(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1),composition(X1,top))) )],[refute_0_1185,refute_0_1212]) ).
cnf(refute_0_1214,plain,
join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)) = join(skolemFOFtoCNF_X1,X1),
inference(subst,[],[refute_0_1163:[bind(X2,$fot(X1))]]) ).
cnf(refute_0_1215,plain,
composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),
introduced(tautology,[refl,[$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top))]]) ).
cnf(refute_0_1216,plain,
( composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top)
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)) != join(skolemFOFtoCNF_X1,X1)
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = composition(join(skolemFOFtoCNF_X1,X1),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top)) ),[1,0],$fot(join(skolemFOFtoCNF_X1,X1))]]) ).
cnf(refute_0_1217,plain,
( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)) != join(skolemFOFtoCNF_X1,X1)
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = composition(join(skolemFOFtoCNF_X1,X1),top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top)) )],[refute_0_1215,refute_0_1216]) ).
cnf(refute_0_1218,plain,
composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) = composition(join(skolemFOFtoCNF_X1,X1),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),join(skolemFOFtoCNF_X1,X1)) )],[refute_0_1214,refute_0_1217]) ).
cnf(refute_0_1219,plain,
( composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) != composition(join(skolemFOFtoCNF_X1,X1),top)
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
| composition(join(skolemFOFtoCNF_X1,X1),top) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)) ),[0],$fot(composition(join(skolemFOFtoCNF_X1,X1),top))]]) ).
cnf(refute_0_1220,plain,
( composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
| composition(join(skolemFOFtoCNF_X1,X1),top) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),composition(join(skolemFOFtoCNF_X1,X1),top)) )],[refute_0_1218,refute_0_1219]) ).
cnf(refute_0_1221,plain,
composition(join(skolemFOFtoCNF_X1,X1),top) = composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,X1)),top),composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)) )],[refute_0_1213,refute_0_1220]) ).
cnf(refute_0_1222,plain,
( composition(join(skolemFOFtoCNF_X1,X1),top) != composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)
| composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) = composition(join(skolemFOFtoCNF_X1,X1),top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(skolemFOFtoCNF_X1,X1),top))),bind(Y,$fot(composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)))]]) ).
cnf(refute_0_1223,plain,
composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top) = composition(join(skolemFOFtoCNF_X1,X1),top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,X1),top),composition(join(skolemFOFtoCNF_X1,join(X1,skolemFOFtoCNF_X1)),top)) )],[refute_0_1221,refute_0_1222]) ).
cnf(refute_0_1224,plain,
composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) = composition(join(skolemFOFtoCNF_X1,X0),top),
inference(subst,[],[refute_0_1223:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_1225,plain,
join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))) = join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_1163:[bind(X2,$fot(join(X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1226,plain,
join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))) = join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_1163:[bind(X2,$fot(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1227,plain,
( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))) != join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))) = join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))))),bind(Y,$fot(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))))),bind(Z,$fot(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_1228,plain,
( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))) != join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))) = join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))) )],[refute_0_1226,refute_0_1227]) ).
cnf(refute_0_1229,plain,
join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))) = join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))),join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))) )],[refute_0_1225,refute_0_1228]) ).
cnf(refute_0_1230,plain,
composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) = composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top),
introduced(tautology,[refl,[$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top))]]) ).
cnf(refute_0_1231,plain,
( composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)
| join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))) != join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)) ),[1,0],$fot(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1232,plain,
( join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))) != join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)) )],[refute_0_1230,refute_0_1231]) ).
cnf(refute_0_1233,plain,
composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) = composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1))) )],[refute_0_1229,refute_0_1232]) ).
cnf(refute_0_1234,plain,
( composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) != composition(join(skolemFOFtoCNF_X1,X0),top)
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) != composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) = composition(join(skolemFOFtoCNF_X1,X0),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top))),bind(Y,$fot(composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X1,X0),top)))]]) ).
cnf(refute_0_1235,plain,
( composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top) != composition(join(skolemFOFtoCNF_X1,X0),top)
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) = composition(join(skolemFOFtoCNF_X1,X0),top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top),composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top)) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) = composition(join(skolemFOFtoCNF_X1,X0),top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)),top),composition(join(skolemFOFtoCNF_X1,X0),top)) )],[refute_0_1224,refute_0_1235]) ).
cnf(refute_0_1237,plain,
( composition(join(X0,skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)
| composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top) != composition(join(skolemFOFtoCNF_X1,X0),top)
| composition(join(X0,skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,X0),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,skolemFOFtoCNF_X1),top),composition(join(skolemFOFtoCNF_X1,X0),top)) ),[0],$fot(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top))]]) ).
cnf(refute_0_1238,plain,
( composition(join(X0,skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)
| composition(join(X0,skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,X0),top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top),composition(join(skolemFOFtoCNF_X1,X0),top)) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
( composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top) != composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)
| composition(join(X0,skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,X0),top) ),
inference(resolve,[$cnf( $equal(composition(join(X0,skolemFOFtoCNF_X1),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)) )],[refute_0_1181,refute_0_1238]) ).
cnf(refute_0_1240,plain,
composition(join(X0,skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,X0),top),
inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X1)))),top),composition(join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(skolemFOFtoCNF_X1,join(X0,skolemFOFtoCNF_X1)))),top)) )],[refute_0_1098,refute_0_1239]) ).
cnf(refute_0_1241,plain,
composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top),
inference(subst,[],[refute_0_1240:[bind(X0,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1242,plain,
( composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top)
| composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) != top
| composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = top ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top))),bind(Y,$fot(composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1243,plain,
( composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top) != top
| composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = top ),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top)) )],[refute_0_1241,refute_0_1242]) ).
cnf(refute_0_1244,plain,
composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) = top,
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X1,complement(skolemFOFtoCNF_X1)),top),top) )],[refute_0_1003,refute_0_1243]) ).
cnf(refute_0_1245,plain,
join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) = composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),
inference(subst,[],[refute_0_1022:[bind(X_58,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1246,plain,
( composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != top
| join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) != composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top)
| join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) = top ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)))),bind(Y,$fot(composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1247,plain,
( composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top) != top
| join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) = top ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)),composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top)) )],[refute_0_1245,refute_0_1246]) ).
cnf(refute_0_1248,plain,
join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) = top,
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X1),skolemFOFtoCNF_X1),top),top) )],[refute_0_1244,refute_0_1247]) ).
cnf(refute_0_1249,plain,
join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) = join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)),
introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))]]) ).
cnf(refute_0_1250,plain,
( complement(complement(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
| join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) != join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))
| join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) = join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)),join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))) ),[1,0],$fot(skolemFOFtoCNF_X1)]]) ).
cnf(refute_0_1251,plain,
( complement(complement(skolemFOFtoCNF_X1)) != skolemFOFtoCNF_X1
| join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) = join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)),join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))) )],[refute_0_1249,refute_0_1250]) ).
cnf(refute_0_1252,plain,
join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) = join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X1) )],[refute_0_1112,refute_0_1251]) ).
cnf(refute_0_1253,plain,
( join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) != join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top))
| join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) != top
| join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) = top ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))),bind(Y,$fot(join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1254,plain,
( join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)) != top
| join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) = top ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)),join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top))) )],[refute_0_1252,refute_0_1253]) ).
cnf(refute_0_1255,plain,
join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) = top,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1,composition(complement(skolemFOFtoCNF_X1),top)),top) )],[refute_0_1248,refute_0_1254]) ).
cnf(refute_0_1256,plain,
complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))) = complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))))]]) ).
cnf(refute_0_1257,plain,
( complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))) != complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))
| join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) != top
| complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1258,plain,
( join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)) != top
| complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))) )],[refute_0_1256,refute_0_1257]) ).
cnf(refute_0_1259,plain,
complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)),top) )],[refute_0_1255,refute_0_1258]) ).
cnf(refute_0_1260,plain,
( complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))) != complement(top)
| complement(top) != zero
| complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))) = zero ),
inference(subst,[],[refute_0_56:[bind(X,$fot(complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1261,plain,
( complement(top) != zero
| complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))),complement(top)) )],[refute_0_1259,refute_0_1260]) ).
cnf(refute_0_1262,plain,
complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_1261]) ).
cnf(refute_0_1263,plain,
join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))) = join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))),
introduced(tautology,[refl,[$fot(join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))))]]) ).
cnf(refute_0_1264,plain,
( complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))) != zero
| join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))) != join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))))
| join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))) = join(composition(complement(skolemFOFtoCNF_X1),top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))),join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1265,plain,
( complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))) != zero
| join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))) = join(composition(complement(skolemFOFtoCNF_X1),top),zero) ),
inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))),join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))))) )],[refute_0_1263,refute_0_1264]) ).
cnf(refute_0_1266,plain,
join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))) = join(composition(complement(skolemFOFtoCNF_X1),top),zero),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))),zero) )],[refute_0_1262,refute_0_1265]) ).
cnf(refute_0_1267,plain,
( join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))) != join(composition(complement(skolemFOFtoCNF_X1),top),zero)
| join(composition(complement(skolemFOFtoCNF_X1),top),zero) != composition(complement(skolemFOFtoCNF_X1),top)
| join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))) = composition(complement(skolemFOFtoCNF_X1),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))))),bind(Y,$fot(join(composition(complement(skolemFOFtoCNF_X1),top),zero))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X1),top)))]]) ).
cnf(refute_0_1268,plain,
( join(composition(complement(skolemFOFtoCNF_X1),top),zero) != composition(complement(skolemFOFtoCNF_X1),top)
| join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))) = composition(complement(skolemFOFtoCNF_X1),top) ),
inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))),join(composition(complement(skolemFOFtoCNF_X1),top),zero)) )],[refute_0_1266,refute_0_1267]) ).
cnf(refute_0_1269,plain,
join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))) = composition(complement(skolemFOFtoCNF_X1),top),
inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X1),top),zero),composition(complement(skolemFOFtoCNF_X1),top)) )],[refute_0_961,refute_0_1268]) ).
cnf(refute_0_1270,plain,
( complement(skolemFOFtoCNF_X1) != join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))))
| join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))) != composition(complement(skolemFOFtoCNF_X1),top)
| complement(skolemFOFtoCNF_X1) = composition(complement(skolemFOFtoCNF_X1),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) ),[0],$fot(join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))))]]) ).
cnf(refute_0_1271,plain,
( complement(skolemFOFtoCNF_X1) != join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))))
| complement(skolemFOFtoCNF_X1) = composition(complement(skolemFOFtoCNF_X1),top) ),
inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top)))),composition(complement(skolemFOFtoCNF_X1),top)) )],[refute_0_1269,refute_0_1270]) ).
cnf(refute_0_1272,plain,
complement(skolemFOFtoCNF_X1) = composition(complement(skolemFOFtoCNF_X1),top),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X1),join(composition(complement(skolemFOFtoCNF_X1),top),complement(join(complement(complement(skolemFOFtoCNF_X1)),composition(complement(skolemFOFtoCNF_X1),top))))) )],[refute_0_935,refute_0_1271]) ).
cnf(refute_0_1273,plain,
( complement(skolemFOFtoCNF_X1) != composition(complement(skolemFOFtoCNF_X1),top)
| composition(complement(skolemFOFtoCNF_X1),top) = complement(skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(skolemFOFtoCNF_X1))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X1),top)))]]) ).
cnf(refute_0_1274,plain,
composition(complement(skolemFOFtoCNF_X1),top) = complement(skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X1),top)) )],[refute_0_1272,refute_0_1273]) ).
cnf(refute_0_1275,plain,
( composition(complement(skolemFOFtoCNF_X1),top) != complement(skolemFOFtoCNF_X1)
| composition(join(complement(skolemFOFtoCNF_X1),X1),top) != join(composition(complement(skolemFOFtoCNF_X1),top),composition(X1,top))
| composition(join(complement(skolemFOFtoCNF_X1),X1),top) = join(complement(skolemFOFtoCNF_X1),composition(X1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X1),X1),top),join(composition(complement(skolemFOFtoCNF_X1),top),composition(X1,top))) ),[1,0],$fot(complement(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1276,plain,
( composition(join(complement(skolemFOFtoCNF_X1),X1),top) != join(composition(complement(skolemFOFtoCNF_X1),top),composition(X1,top))
| composition(join(complement(skolemFOFtoCNF_X1),X1),top) = join(complement(skolemFOFtoCNF_X1),composition(X1,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X1),top),complement(skolemFOFtoCNF_X1)) )],[refute_0_1274,refute_0_1275]) ).
cnf(refute_0_1277,plain,
composition(join(complement(skolemFOFtoCNF_X1),X1),top) = join(complement(skolemFOFtoCNF_X1),composition(X1,top)),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X1),X1),top),join(composition(complement(skolemFOFtoCNF_X1),top),composition(X1,top))) )],[refute_0_388,refute_0_1276]) ).
cnf(refute_0_1278,plain,
composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top) = join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_1277:[bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1279,plain,
complement(skolemFOFtoCNF_X0) = join(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))),
inference(subst,[],[refute_0_88:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_1280,plain,
composition(complement(skolemFOFtoCNF_X0),top) = meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))),
inference(subst,[],[refute_0_600:[bind(X_44,$fot(complement(skolemFOFtoCNF_X0))),bind(X_93,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_1281,plain,
join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) = complement(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_10:[bind(X0,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1282,plain,
converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1283,plain,
join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))) = complement(top),
inference(subst,[],[refute_0_10:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(top))]]) ).
cnf(refute_0_1284,plain,
composition(skolemFOFtoCNF_X0,top) = skolemFOFtoCNF_X0,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_1285,plain,
( composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
| join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))) != complement(top)
| join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))),complement(top)) ),[0,1,1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1286,plain,
( join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))) != complement(top)
| join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),skolemFOFtoCNF_X0) )],[refute_0_1284,refute_0_1285]) ).
cnf(refute_0_1287,plain,
join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,top)))),complement(top)) )],[refute_0_1283,refute_0_1286]) ).
cnf(refute_0_1288,plain,
join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1289,plain,
( complement(top) != zero
| join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
| join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1290,plain,
( complement(top) != zero
| join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) )],[refute_0_1288,refute_0_1289]) ).
cnf(refute_0_1291,plain,
join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_1290]) ).
cnf(refute_0_1292,plain,
( join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(top)
| join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
| join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),complement(top)) ),[0],$fot(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1293,plain,
( join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(top)
| join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) )],[refute_0_1291,refute_0_1292]) ).
cnf(refute_0_1294,plain,
( complement(top) != zero
| join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(top)
| join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1295,plain,
( join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(top)
| join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_1294]) ).
cnf(refute_0_1296,plain,
( join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != complement(top)
| join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),complement(top)) )],[refute_0_1293,refute_0_1295]) ).
cnf(refute_0_1297,plain,
join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),complement(top)) )],[refute_0_1287,refute_0_1296]) ).
cnf(refute_0_1298,plain,
join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_373:[bind(X_93,$fot(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1299,plain,
( join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))
| join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != zero
| composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),zero) ),[0],$fot(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1300,plain,
( join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != zero
| composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) )],[refute_0_1298,refute_0_1299]) ).
cnf(refute_0_1301,plain,
composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),zero) )],[refute_0_1297,refute_0_1300]) ).
cnf(refute_0_1302,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) != zero
| converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))
| converse(zero) = composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1303,plain,
( converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))
| converse(zero) = composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),zero) )],[refute_0_1301,refute_0_1302]) ).
cnf(refute_0_1304,plain,
converse(zero) = composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))) )],[refute_0_1282,refute_0_1303]) ).
cnf(refute_0_1305,plain,
converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_114:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_7,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1306,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) = converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1307,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) != converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))
| converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1308,plain,
( converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))),converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)))) )],[refute_0_1306,refute_0_1307]) ).
cnf(refute_0_1309,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_1305,refute_0_1308]) ).
cnf(refute_0_1310,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| converse(zero) != composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))
| converse(zero) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))) ),[1],$fot(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1311,plain,
( converse(zero) != composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))
| converse(zero) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_1309,refute_0_1310]) ).
cnf(refute_0_1312,plain,
converse(zero) = composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(skolemFOFtoCNF_X0)),converse(converse(skolemFOFtoCNF_X0)))) )],[refute_0_1304,refute_0_1311]) ).
cnf(refute_0_1313,plain,
( converse(zero) != composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)
| composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = converse(zero) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(zero))),bind(Y,$fot(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1314,plain,
composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = converse(zero),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) )],[refute_0_1312,refute_0_1313]) ).
cnf(refute_0_1315,plain,
( composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != converse(zero)
| join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) ),[0,1,1,0],$fot(converse(zero))]]) ).
cnf(refute_0_1316,plain,
( join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),converse(zero)) )],[refute_0_1314,refute_0_1315]) ).
cnf(refute_0_1317,plain,
join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(composition(converse(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))),complement(skolemFOFtoCNF_X0)) )],[refute_0_1281,refute_0_1316]) ).
cnf(refute_0_1318,plain,
converse(converse(complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_18:[bind(X0,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1319,plain,
composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero))) = composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero))))]]) ).
cnf(refute_0_1320,plain,
( composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero))) != composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))
| converse(converse(complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero))),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1321,plain,
( converse(converse(complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero))),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))) )],[refute_0_1319,refute_0_1320]) ).
cnf(refute_0_1322,plain,
composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(converse(complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_1318,refute_0_1321]) ).
cnf(refute_0_1323,plain,
join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))))]]) ).
cnf(refute_0_1324,plain,
( composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero))) != composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))
| join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))) != join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero))))
| join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero))))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))))]]) ).
cnf(refute_0_1325,plain,
( composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero))) != composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))
| join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero))))) )],[refute_0_1323,refute_0_1324]) ).
cnf(refute_0_1326,plain,
join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero))),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))) )],[refute_0_1322,refute_0_1325]) ).
cnf(refute_0_1327,plain,
( join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))) != join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))))
| join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))),complement(skolemFOFtoCNF_X0)) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))))]]) ).
cnf(refute_0_1328,plain,
( join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))))) )],[refute_0_1326,refute_0_1327]) ).
cnf(refute_0_1329,plain,
join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(converse(converse(complement(skolemFOFtoCNF_X0))),complement(converse(zero)))),complement(skolemFOFtoCNF_X0)) )],[refute_0_1317,refute_0_1328]) ).
cnf(refute_0_1330,plain,
composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))))]]) ).
cnf(refute_0_1331,plain,
( complement(converse(zero)) != top
| composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))) != composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))
| composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1332,plain,
( complement(converse(zero)) != top
| composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))) )],[refute_0_1330,refute_0_1331]) ).
cnf(refute_0_1333,plain,
composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_900,refute_0_1332]) ).
cnf(refute_0_1334,plain,
join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))))]]) ).
cnf(refute_0_1335,plain,
( composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))) != composition(complement(skolemFOFtoCNF_X0),top)
| join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))) != join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))))
| join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_1336,plain,
( composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))) != composition(complement(skolemFOFtoCNF_X0),top)
| join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))))) )],[refute_0_1334,refute_0_1335]) ).
cnf(refute_0_1337,plain,
join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))) = join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),complement(converse(zero))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_1333,refute_0_1336]) ).
cnf(refute_0_1338,plain,
( join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))) != join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))
| join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))),complement(skolemFOFtoCNF_X0)) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_1339,plain,
( join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))),join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_1337,refute_0_1338]) ).
cnf(refute_0_1340,plain,
join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),complement(converse(zero)))),complement(skolemFOFtoCNF_X0)) )],[refute_0_1329,refute_0_1339]) ).
cnf(refute_0_1341,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)))
| join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) != complement(skolemFOFtoCNF_X0)
| composition(complement(skolemFOFtoCNF_X0),top) = meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1342,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)))
| composition(complement(skolemFOFtoCNF_X0),top) = meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),complement(skolemFOFtoCNF_X0)) )],[refute_0_1340,refute_0_1341]) ).
cnf(refute_0_1343,plain,
composition(complement(skolemFOFtoCNF_X0),top) = meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),meet(composition(complement(skolemFOFtoCNF_X0),top),join(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_1280,refute_0_1342]) ).
cnf(refute_0_1344,plain,
meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_926:[bind(X_29,$fot(complement(skolemFOFtoCNF_X0))),bind(X_30,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_1345,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0))
| meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))
| composition(complement(skolemFOFtoCNF_X0),top) = meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(skolemFOFtoCNF_X0),top),meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))) ),[0],$fot(meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1346,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0))
| composition(complement(skolemFOFtoCNF_X0),top) = meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_1344,refute_0_1345]) ).
cnf(refute_0_1347,plain,
composition(complement(skolemFOFtoCNF_X0),top) = meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),meet(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0))) )],[refute_0_1343,refute_0_1346]) ).
cnf(refute_0_1348,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))
| meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(complement(skolemFOFtoCNF_X0),top))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_1349,plain,
meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_1347,refute_0_1348]) ).
cnf(refute_0_1350,plain,
( complement(skolemFOFtoCNF_X0) != join(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))))
| meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(skolemFOFtoCNF_X0) = join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_1351,plain,
( complement(skolemFOFtoCNF_X0) != join(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))))
| complement(skolemFOFtoCNF_X0) = join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_1349,refute_0_1350]) ).
cnf(refute_0_1352,plain,
complement(skolemFOFtoCNF_X0) = join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_1279,refute_0_1351]) ).
cnf(refute_0_1353,plain,
join(composition(complement(skolemFOFtoCNF_X0),top),zero) = composition(complement(skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_960:[bind(X1,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_1354,plain,
join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = top,
inference(subst,[],[refute_0_44:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1355,plain,
composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),
introduced(tautology,[refl,[$fot(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_1356,plain,
( composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) != composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != top
| composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1357,plain,
( join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != top
| composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_1355,refute_0_1356]) ).
cnf(refute_0_1358,plain,
composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = composition(top,top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_1354,refute_0_1357]) ).
cnf(refute_0_1359,plain,
( composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) != composition(top,top)
| composition(top,top) != top
| composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = top ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top))),bind(Y,$fot(composition(top,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1360,plain,
( composition(top,top) != top
| composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = top ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),composition(top,top)) )],[refute_0_1358,refute_0_1359]) ).
cnf(refute_0_1361,plain,
composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) = top,
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_995,refute_0_1360]) ).
cnf(refute_0_1362,plain,
composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = join(composition(X0,top),composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_387:[bind(X1,$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),bind(X2,$fot(top))]]) ).
cnf(refute_0_1363,plain,
composition(join(X_58,skolemFOFtoCNF_X0),top) = join(composition(X_58,top),composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_387:[bind(X0,$fot(X_58)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(top))]]) ).
cnf(refute_0_1364,plain,
( composition(join(X_58,skolemFOFtoCNF_X0),top) != join(composition(X_58,top),composition(skolemFOFtoCNF_X0,top))
| composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
| composition(join(X_58,skolemFOFtoCNF_X0),top) = join(composition(X_58,top),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_58,skolemFOFtoCNF_X0),top),join(composition(X_58,top),composition(skolemFOFtoCNF_X0,top))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1365,plain,
( composition(join(X_58,skolemFOFtoCNF_X0),top) != join(composition(X_58,top),composition(skolemFOFtoCNF_X0,top))
| composition(join(X_58,skolemFOFtoCNF_X0),top) = join(composition(X_58,top),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),skolemFOFtoCNF_X0) )],[refute_0_1284,refute_0_1364]) ).
cnf(refute_0_1366,plain,
composition(join(X_58,skolemFOFtoCNF_X0),top) = join(composition(X_58,top),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(join(X_58,skolemFOFtoCNF_X0),top),join(composition(X_58,top),composition(skolemFOFtoCNF_X0,top))) )],[refute_0_1363,refute_0_1365]) ).
cnf(refute_0_1367,plain,
join(composition(X_58,top),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,composition(X_58,top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(composition(X_58,top)))]]) ).
cnf(refute_0_1368,plain,
( composition(join(X_58,skolemFOFtoCNF_X0),top) != join(composition(X_58,top),skolemFOFtoCNF_X0)
| join(composition(X_58,top),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,composition(X_58,top))
| composition(join(X_58,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,composition(X_58,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_58,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(X_58,top))) ),[0],$fot(join(composition(X_58,top),skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1369,plain,
( composition(join(X_58,skolemFOFtoCNF_X0),top) != join(composition(X_58,top),skolemFOFtoCNF_X0)
| composition(join(X_58,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,composition(X_58,top)) ),
inference(resolve,[$cnf( $equal(join(composition(X_58,top),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,composition(X_58,top))) )],[refute_0_1367,refute_0_1368]) ).
cnf(refute_0_1370,plain,
composition(join(X_58,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,composition(X_58,top)),
inference(resolve,[$cnf( $equal(composition(join(X_58,skolemFOFtoCNF_X0),top),join(composition(X_58,top),skolemFOFtoCNF_X0)) )],[refute_0_1366,refute_0_1369]) ).
cnf(refute_0_1371,plain,
composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_1370:[bind(X_58,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1372,plain,
( composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))
| composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
| composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1373,plain,
( composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))
| composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),skolemFOFtoCNF_X0) )],[refute_0_1284,refute_0_1372]) ).
cnf(refute_0_1374,plain,
composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_1371,refute_0_1373]) ).
cnf(refute_0_1375,plain,
( composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != join(composition(X0,top),composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top))
| composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
| composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),join(composition(X0,top),composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1376,plain,
( composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != join(composition(X0,top),composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top))
| composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) )],[refute_0_1374,refute_0_1375]) ).
cnf(refute_0_1377,plain,
composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),join(composition(X0,top),composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top))) )],[refute_0_1362,refute_0_1376]) ).
cnf(refute_0_1378,plain,
composition(join(X_62,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,composition(X_62,top)),
inference(subst,[],[refute_0_1370:[bind(X_58,$fot(X_62))]]) ).
cnf(refute_0_1379,plain,
join(skolemFOFtoCNF_X0,X_62) = join(X_62,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_1:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(X_62))]]) ).
cnf(refute_0_1380,plain,
( join(skolemFOFtoCNF_X0,X_62) != join(X_62,skolemFOFtoCNF_X0)
| join(X_62,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_62) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(skolemFOFtoCNF_X0,X_62))),bind(Y,$fot(join(X_62,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1381,plain,
join(X_62,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_62),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,X_62),join(X_62,skolemFOFtoCNF_X0)) )],[refute_0_1379,refute_0_1380]) ).
cnf(refute_0_1382,plain,
( composition(join(X_62,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(X_62,top))
| join(X_62,skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,X_62)
| composition(join(skolemFOFtoCNF_X0,X_62),top) = join(skolemFOFtoCNF_X0,composition(X_62,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_62,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(X_62,top))) ),[0,0],$fot(join(skolemFOFtoCNF_X0,X_62))]]) ).
cnf(refute_0_1383,plain,
( composition(join(X_62,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(X_62,top))
| composition(join(skolemFOFtoCNF_X0,X_62),top) = join(skolemFOFtoCNF_X0,composition(X_62,top)) ),
inference(resolve,[$cnf( $equal(join(X_62,skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,X_62)) )],[refute_0_1381,refute_0_1382]) ).
cnf(refute_0_1384,plain,
composition(join(skolemFOFtoCNF_X0,X_62),top) = join(skolemFOFtoCNF_X0,composition(X_62,top)),
inference(resolve,[$cnf( $equal(composition(join(X_62,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(X_62,top))) )],[refute_0_1378,refute_0_1383]) ).
cnf(refute_0_1385,plain,
( composition(join(X_58,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(X_58,top))
| join(skolemFOFtoCNF_X0,composition(X_58,top)) = composition(join(X_58,skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_58,skolemFOFtoCNF_X0),top))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(X_58,top))))]]) ).
cnf(refute_0_1386,plain,
join(skolemFOFtoCNF_X0,composition(X_58,top)) = composition(join(X_58,skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(join(X_58,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(X_58,top))) )],[refute_0_1370,refute_0_1385]) ).
cnf(refute_0_1387,plain,
join(skolemFOFtoCNF_X0,composition(X_62,top)) = composition(join(X_62,skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_1386:[bind(X_58,$fot(X_62))]]) ).
cnf(refute_0_1388,plain,
( composition(join(skolemFOFtoCNF_X0,X_62),top) != join(skolemFOFtoCNF_X0,composition(X_62,top))
| join(skolemFOFtoCNF_X0,composition(X_62,top)) != composition(join(X_62,skolemFOFtoCNF_X0),top)
| composition(join(skolemFOFtoCNF_X0,X_62),top) = composition(join(X_62,skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(skolemFOFtoCNF_X0,X_62),top),composition(join(X_62,skolemFOFtoCNF_X0),top)) ),[0],$fot(join(skolemFOFtoCNF_X0,composition(X_62,top)))]]) ).
cnf(refute_0_1389,plain,
( composition(join(skolemFOFtoCNF_X0,X_62),top) != join(skolemFOFtoCNF_X0,composition(X_62,top))
| composition(join(skolemFOFtoCNF_X0,X_62),top) = composition(join(X_62,skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(X_62,top)),composition(join(X_62,skolemFOFtoCNF_X0),top)) )],[refute_0_1387,refute_0_1388]) ).
cnf(refute_0_1390,plain,
composition(join(skolemFOFtoCNF_X0,X_62),top) = composition(join(X_62,skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X_62),top),join(skolemFOFtoCNF_X0,composition(X_62,top))) )],[refute_0_1384,refute_0_1389]) ).
cnf(refute_0_1391,plain,
( composition(join(skolemFOFtoCNF_X0,X_62),top) != composition(join(X_62,skolemFOFtoCNF_X0),top)
| composition(join(X_62,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,X_62),top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(skolemFOFtoCNF_X0,X_62),top))),bind(Y,$fot(composition(join(X_62,skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_1392,plain,
composition(join(X_62,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,X_62),top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X_62),top),composition(join(X_62,skolemFOFtoCNF_X0),top)) )],[refute_0_1390,refute_0_1391]) ).
cnf(refute_0_1393,plain,
composition(join(join(X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top),
inference(subst,[],[refute_0_1392:[bind(X_62,$fot(join(X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1394,plain,
join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) = composition(join(join(X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_1386:[bind(X_58,$fot(join(X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1395,plain,
( composition(join(join(X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) != composition(join(join(X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top)
| join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)))),bind(Y,$fot(composition(join(join(X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_1396,plain,
( composition(join(join(X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)),composition(join(join(X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top)) )],[refute_0_1394,refute_0_1395]) ).
cnf(refute_0_1397,plain,
join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(join(join(X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)) )],[refute_0_1393,refute_0_1396]) ).
cnf(refute_0_1398,plain,
join(skolemFOFtoCNF_X0,composition(X0,top)) = composition(join(X0,skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_1386:[bind(X_58,$fot(X0))]]) ).
cnf(refute_0_1399,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))))]]) ).
cnf(refute_0_1400,plain,
( join(skolemFOFtoCNF_X0,composition(X0,top)) != composition(join(X0,skolemFOFtoCNF_X0),top)
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) = join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))) ),[1,1],$fot(composition(join(X0,skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_1401,plain,
( join(skolemFOFtoCNF_X0,composition(X0,top)) != composition(join(X0,skolemFOFtoCNF_X0),top)
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) = join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))) )],[refute_0_1399,refute_0_1400]) ).
cnf(refute_0_1402,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) = join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(X0,top)),composition(join(X0,skolemFOFtoCNF_X0),top)) )],[refute_0_1398,refute_0_1401]) ).
cnf(refute_0_1403,plain,
( join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) != join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top))
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_1404,plain,
( join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))),join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top))) )],[refute_0_1402,refute_0_1403]) ).
cnf(refute_0_1405,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(X0,skolemFOFtoCNF_X0),top)),composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)) )],[refute_0_1397,refute_0_1404]) ).
cnf(refute_0_1406,plain,
join(skolemFOFtoCNF_X0,join(composition(X0,top),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))),
inference(subst,[],[refute_0_754:[bind(X_39,$fot(skolemFOFtoCNF_X0)),bind(X_40,$fot(composition(X0,top))),bind(X_41,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1407,plain,
join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,join(composition(X0,top),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_487:[bind(X_39,$fot(skolemFOFtoCNF_X0)),bind(X_40,$fot(composition(X0,top))),bind(X_41,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1408,plain,
( join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(composition(X0,top),skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,join(composition(X0,top),skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))
| join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(composition(X0,top),skolemFOFtoCNF_X0)))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))))]]) ).
cnf(refute_0_1409,plain,
( join(skolemFOFtoCNF_X0,join(composition(X0,top),skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))
| join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,join(composition(X0,top),skolemFOFtoCNF_X0))) )],[refute_0_1407,refute_0_1408]) ).
cnf(refute_0_1410,plain,
join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(composition(X0,top),skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))) )],[refute_0_1406,refute_0_1409]) ).
cnf(refute_0_1411,plain,
( join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
| join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_1412,plain,
( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
| join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top)))) )],[refute_0_1410,refute_0_1411]) ).
cnf(refute_0_1413,plain,
join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X0,top))),composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)) )],[refute_0_1405,refute_0_1412]) ).
cnf(refute_0_1414,plain,
( composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
| composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)) ),[0],$fot(join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1415,plain,
( composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)) )],[refute_0_1413,refute_0_1414]) ).
cnf(refute_0_1416,plain,
composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),join(composition(X0,top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_1377,refute_0_1415]) ).
cnf(refute_0_1417,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) = complement(complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_10:[bind(X0,$fot(converse(skolemFOFtoCNF_X0))),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1418,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) != zero
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) != complement(complement(skolemFOFtoCNF_X0))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(complement(skolemFOFtoCNF_X0))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_1419,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))) != complement(complement(skolemFOFtoCNF_X0))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)),zero) )],[refute_0_1301,refute_0_1418]) ).
cnf(refute_0_1420,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = complement(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(composition(converse(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0))))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_1417,refute_0_1419]) ).
cnf(refute_0_1421,plain,
converse(converse(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_18:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1422,plain,
composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))]]) ).
cnf(refute_0_1423,plain,
( composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) != composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))
| converse(converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(skolemFOFtoCNF_X0,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1424,plain,
( converse(converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(skolemFOFtoCNF_X0,complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) )],[refute_0_1422,refute_0_1423]) ).
cnf(refute_0_1425,plain,
composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) = composition(skolemFOFtoCNF_X0,complement(zero)),
inference(resolve,[$cnf( $equal(converse(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_1421,refute_0_1424]) ).
cnf(refute_0_1426,plain,
join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))))]]) ).
cnf(refute_0_1427,plain,
( composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) != composition(skolemFOFtoCNF_X0,complement(zero))
| join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))
| join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,complement(zero)))]]) ).
cnf(refute_0_1428,plain,
( composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)) != composition(skolemFOFtoCNF_X0,complement(zero))
| join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))) )],[refute_0_1426,refute_0_1427]) ).
cnf(refute_0_1429,plain,
join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))),
inference(resolve,[$cnf( $equal(composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)),composition(skolemFOFtoCNF_X0,complement(zero))) )],[refute_0_1425,refute_0_1428]) ).
cnf(refute_0_1430,plain,
complement(complement(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_352:[bind(X_93,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1431,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))))]]) ).
cnf(refute_0_1432,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1433,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))) )],[refute_0_1431,refute_0_1432]) ).
cnf(refute_0_1434,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_1430,refute_0_1433]) ).
cnf(refute_0_1435,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))
| join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero)))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero)))))]]) ).
cnf(refute_0_1436,plain,
( join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero)))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero)))) )],[refute_0_1434,refute_0_1435]) ).
cnf(refute_0_1437,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero)))) )],[refute_0_1429,refute_0_1436]) ).
cnf(refute_0_1438,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != complement(complement(skolemFOFtoCNF_X0))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero)))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) = complement(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),complement(complement(skolemFOFtoCNF_X0))) ),[0],$fot(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))))]]) ).
cnf(refute_0_1439,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != complement(complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) = complement(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero)))) )],[refute_0_1437,refute_0_1438]) ).
cnf(refute_0_1440,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) != complement(complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))),complement(complement(skolemFOFtoCNF_X0))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1441,plain,
( join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) != complement(complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_1430,refute_0_1440]) ).
cnf(refute_0_1442,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))) != complement(complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_1439,refute_0_1441]) ).
cnf(refute_0_1443,plain,
join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(converse(converse(skolemFOFtoCNF_X0)),complement(zero))),complement(complement(skolemFOFtoCNF_X0))) )],[refute_0_1420,refute_0_1442]) ).
cnf(refute_0_1444,plain,
composition(skolemFOFtoCNF_X0,complement(zero)) = composition(skolemFOFtoCNF_X0,complement(zero)),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,complement(zero)))]]) ).
cnf(refute_0_1445,plain,
( complement(zero) != top
| composition(skolemFOFtoCNF_X0,complement(zero)) != composition(skolemFOFtoCNF_X0,complement(zero))
| composition(skolemFOFtoCNF_X0,complement(zero)) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(zero)),composition(skolemFOFtoCNF_X0,complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1446,plain,
( complement(zero) != top
| composition(skolemFOFtoCNF_X0,complement(zero)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(zero)),composition(skolemFOFtoCNF_X0,complement(zero))) )],[refute_0_1444,refute_0_1445]) ).
cnf(refute_0_1447,plain,
composition(skolemFOFtoCNF_X0,complement(zero)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1134,refute_0_1446]) ).
cnf(refute_0_1448,plain,
( composition(skolemFOFtoCNF_X0,complement(zero)) != composition(skolemFOFtoCNF_X0,top)
| composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
| composition(skolemFOFtoCNF_X0,complement(zero)) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(skolemFOFtoCNF_X0,complement(zero)))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,top))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1449,plain,
( composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
| composition(skolemFOFtoCNF_X0,complement(zero)) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(zero)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_1447,refute_0_1448]) ).
cnf(refute_0_1450,plain,
composition(skolemFOFtoCNF_X0,complement(zero)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),skolemFOFtoCNF_X0) )],[refute_0_1284,refute_0_1449]) ).
cnf(refute_0_1451,plain,
join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) = join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))))]]) ).
cnf(refute_0_1452,plain,
( composition(skolemFOFtoCNF_X0,complement(zero)) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) != join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero)))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero)))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1453,plain,
( composition(skolemFOFtoCNF_X0,complement(zero)) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))),join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero)))) )],[refute_0_1451,refute_0_1452]) ).
cnf(refute_0_1454,plain,
join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(zero)),skolemFOFtoCNF_X0) )],[refute_0_1450,refute_0_1453]) ).
cnf(refute_0_1455,plain,
( join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))),skolemFOFtoCNF_X0) ),[0],$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1456,plain,
( join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) )],[refute_0_1454,refute_0_1455]) ).
cnf(refute_0_1457,plain,
join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))),skolemFOFtoCNF_X0) )],[refute_0_1443,refute_0_1456]) ).
cnf(refute_0_1458,plain,
join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1459,plain,
( join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(X0,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1460,plain,
( join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(X0,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))) )],[refute_0_1458,refute_0_1459]) ).
cnf(refute_0_1461,plain,
join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) = join(X0,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_1457,refute_0_1460]) ).
cnf(refute_0_1462,plain,
composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),
introduced(tautology,[refl,[$fot(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_1463,plain,
( composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top)
| join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(X0,skolemFOFtoCNF_X0)
| composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = composition(join(X0,skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top)) ),[1,0],$fot(join(X0,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1464,plain,
( join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) != join(X0,skolemFOFtoCNF_X0)
| composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = composition(join(X0,skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top)) )],[refute_0_1462,refute_0_1463]) ).
cnf(refute_0_1465,plain,
composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) = composition(join(X0,skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),join(X0,skolemFOFtoCNF_X0)) )],[refute_0_1461,refute_0_1464]) ).
cnf(refute_0_1466,plain,
( composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != composition(join(X0,skolemFOFtoCNF_X0),top)
| composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
| composition(join(X0,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)) ),[0],$fot(composition(join(X0,skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_1467,plain,
( composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
| composition(join(X0,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),composition(join(X0,skolemFOFtoCNF_X0),top)) )],[refute_0_1465,refute_0_1466]) ).
cnf(refute_0_1468,plain,
composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) = join(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),composition(X1,top)),
inference(subst,[],[refute_0_387:[bind(X0,$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))),bind(X2,$fot(top))]]) ).
cnf(refute_0_1469,plain,
( composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) != join(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),composition(X1,top))
| composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)
| composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) = join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top),join(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),composition(X1,top))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1470,plain,
( composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) != join(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),composition(X1,top))
| composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) = join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)) )],[refute_0_1374,refute_0_1469]) ).
cnf(refute_0_1471,plain,
composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) = join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top),join(composition(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),top),composition(X1,top))) )],[refute_0_1468,refute_0_1470]) ).
cnf(refute_0_1472,plain,
join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),
inference(subst,[],[refute_0_404:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_1473,plain,
composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) = composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top),
introduced(tautology,[refl,[$fot(composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top))]]) ).
cnf(refute_0_1474,plain,
( composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) != composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top)
| join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1))
| composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) = composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top),composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top)) ),[1,0],$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)))]]) ).
cnf(refute_0_1475,plain,
( join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1))
| composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) = composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) ),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top),composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top)) )],[refute_0_1473,refute_0_1474]) ).
cnf(refute_0_1476,plain,
composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) = composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1))) )],[refute_0_1472,refute_0_1475]) ).
cnf(refute_0_1477,plain,
( composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) != composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top)
| composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) != join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top))
| composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top),join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top))) ),[0],$fot(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top))]]) ).
cnf(refute_0_1478,plain,
( composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) != join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top))
| composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) ),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top),composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top)) )],[refute_0_1476,refute_0_1477]) ).
cnf(refute_0_1479,plain,
composition(join(join(X1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top),
inference(subst,[],[refute_0_1392:[bind(X_62,$fot(join(X1,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1480,plain,
join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) = composition(join(join(X1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_1386:[bind(X_58,$fot(join(X1,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1481,plain,
( composition(join(join(X1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) != composition(join(join(X1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top)
| join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)))),bind(Y,$fot(composition(join(join(X1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_1482,plain,
( composition(join(join(X1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)),composition(join(join(X1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top)) )],[refute_0_1480,refute_0_1481]) ).
cnf(refute_0_1483,plain,
join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(join(join(X1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)) )],[refute_0_1479,refute_0_1482]) ).
cnf(refute_0_1484,plain,
join(skolemFOFtoCNF_X0,composition(X1,top)) = composition(join(X1,skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_1386:[bind(X_58,$fot(X1))]]) ).
cnf(refute_0_1485,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))))]]) ).
cnf(refute_0_1486,plain,
( join(skolemFOFtoCNF_X0,composition(X1,top)) != composition(join(X1,skolemFOFtoCNF_X0),top)
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top)))
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) = join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top)))) ),[1,1],$fot(composition(join(X1,skolemFOFtoCNF_X0),top))]]) ).
cnf(refute_0_1487,plain,
( join(skolemFOFtoCNF_X0,composition(X1,top)) != composition(join(X1,skolemFOFtoCNF_X0),top)
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) = join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top)))) )],[refute_0_1485,refute_0_1486]) ).
cnf(refute_0_1488,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) = join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(X1,top)),composition(join(X1,skolemFOFtoCNF_X0),top)) )],[refute_0_1484,refute_0_1487]) ).
cnf(refute_0_1489,plain,
( join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) != join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top))
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_1490,plain,
( join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))),join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top))) )],[refute_0_1488,refute_0_1489]) ).
cnf(refute_0_1491,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(join(X1,skolemFOFtoCNF_X0),top)),composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)) )],[refute_0_1483,refute_0_1490]) ).
cnf(refute_0_1492,plain,
join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))),
inference(subst,[],[refute_0_404:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(composition(X1,top)))]]) ).
cnf(refute_0_1493,plain,
( join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top)))
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
| join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_1494,plain,
( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
| join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top)))) )],[refute_0_1492,refute_0_1493]) ).
cnf(refute_0_1495,plain,
join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,composition(X1,top))),composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)) )],[refute_0_1491,refute_0_1494]) ).
cnf(refute_0_1496,plain,
( composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) != join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top))
| join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
| composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)) ),[0],$fot(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)))]]) ).
cnf(refute_0_1497,plain,
( composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) != join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top))
| composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top)),composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)) )],[refute_0_1495,refute_0_1496]) ).
cnf(refute_0_1498,plain,
( composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top) != join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top))
| composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top))) )],[refute_0_1478,refute_0_1497]) ).
cnf(refute_0_1499,plain,
composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),X1),top),join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0),composition(X1,top))) )],[refute_0_1471,refute_0_1498]) ).
cnf(refute_0_1500,plain,
join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)) = join(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))),X2),
inference(subst,[],[refute_0_242:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(zero))))]]) ).
cnf(refute_0_1501,plain,
( join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)) != join(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))),X2)
| join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)) = join(skolemFOFtoCNF_X0,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)),join(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))),X2)) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1502,plain,
( join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)) != join(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))),X2)
| join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)) = join(skolemFOFtoCNF_X0,X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))),skolemFOFtoCNF_X0) )],[refute_0_1443,refute_0_1501]) ).
cnf(refute_0_1503,plain,
join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)) = join(skolemFOFtoCNF_X0,X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)),join(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(zero))),X2)) )],[refute_0_1500,refute_0_1502]) ).
cnf(refute_0_1504,plain,
join(composition(skolemFOFtoCNF_X0,complement(zero)),X2) = join(composition(skolemFOFtoCNF_X0,complement(zero)),X2),
introduced(tautology,[refl,[$fot(join(composition(skolemFOFtoCNF_X0,complement(zero)),X2))]]) ).
cnf(refute_0_1505,plain,
( composition(skolemFOFtoCNF_X0,complement(zero)) != skolemFOFtoCNF_X0
| join(composition(skolemFOFtoCNF_X0,complement(zero)),X2) != join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)
| join(composition(skolemFOFtoCNF_X0,complement(zero)),X2) = join(skolemFOFtoCNF_X0,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(zero)),X2),join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1506,plain,
( composition(skolemFOFtoCNF_X0,complement(zero)) != skolemFOFtoCNF_X0
| join(composition(skolemFOFtoCNF_X0,complement(zero)),X2) = join(skolemFOFtoCNF_X0,X2) ),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(zero)),X2),join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)) )],[refute_0_1504,refute_0_1505]) ).
cnf(refute_0_1507,plain,
join(composition(skolemFOFtoCNF_X0,complement(zero)),X2) = join(skolemFOFtoCNF_X0,X2),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(zero)),skolemFOFtoCNF_X0) )],[refute_0_1450,refute_0_1506]) ).
cnf(refute_0_1508,plain,
join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)) = join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)))]]) ).
cnf(refute_0_1509,plain,
( join(composition(skolemFOFtoCNF_X0,complement(zero)),X2) != join(skolemFOFtoCNF_X0,X2)
| join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)) != join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2))
| join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)),join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,X2))]]) ).
cnf(refute_0_1510,plain,
( join(composition(skolemFOFtoCNF_X0,complement(zero)),X2) != join(skolemFOFtoCNF_X0,X2)
| join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)),join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2))) )],[refute_0_1508,refute_0_1509]) ).
cnf(refute_0_1511,plain,
join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2)),
inference(resolve,[$cnf( $equal(join(composition(skolemFOFtoCNF_X0,complement(zero)),X2),join(skolemFOFtoCNF_X0,X2)) )],[refute_0_1507,refute_0_1510]) ).
cnf(refute_0_1512,plain,
( join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)) != join(skolemFOFtoCNF_X0,X2)
| join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2))
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2)) = join(skolemFOFtoCNF_X0,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)),join(skolemFOFtoCNF_X0,X2)) ),[0],$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2)))]]) ).
cnf(refute_0_1513,plain,
( join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)) != join(skolemFOFtoCNF_X0,X2)
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2)) = join(skolemFOFtoCNF_X0,X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2))) )],[refute_0_1511,refute_0_1512]) ).
cnf(refute_0_1514,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X2)) = join(skolemFOFtoCNF_X0,X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(composition(skolemFOFtoCNF_X0,complement(zero)),X2)),join(skolemFOFtoCNF_X0,X2)) )],[refute_0_1503,refute_0_1513]) ).
cnf(refute_0_1515,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)) = join(skolemFOFtoCNF_X0,X1),
inference(subst,[],[refute_0_1514:[bind(X2,$fot(X1))]]) ).
cnf(refute_0_1516,plain,
composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),
introduced(tautology,[refl,[$fot(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top))]]) ).
cnf(refute_0_1517,plain,
( composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) != composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top)
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)) != join(skolemFOFtoCNF_X0,X1)
| composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(skolemFOFtoCNF_X0,X1),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top)) ),[1,0],$fot(join(skolemFOFtoCNF_X0,X1))]]) ).
cnf(refute_0_1518,plain,
( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)) != join(skolemFOFtoCNF_X0,X1)
| composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(skolemFOFtoCNF_X0,X1),top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top)) )],[refute_0_1516,refute_0_1517]) ).
cnf(refute_0_1519,plain,
composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) = composition(join(skolemFOFtoCNF_X0,X1),top),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),join(skolemFOFtoCNF_X0,X1)) )],[refute_0_1515,refute_0_1518]) ).
cnf(refute_0_1520,plain,
( composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) != composition(join(skolemFOFtoCNF_X0,X1),top)
| composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
| composition(join(skolemFOFtoCNF_X0,X1),top) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)) ),[0],$fot(composition(join(skolemFOFtoCNF_X0,X1),top))]]) ).
cnf(refute_0_1521,plain,
( composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
| composition(join(skolemFOFtoCNF_X0,X1),top) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),composition(join(skolemFOFtoCNF_X0,X1),top)) )],[refute_0_1519,refute_0_1520]) ).
cnf(refute_0_1522,plain,
composition(join(skolemFOFtoCNF_X0,X1),top) = composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,X1)),top),composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)) )],[refute_0_1499,refute_0_1521]) ).
cnf(refute_0_1523,plain,
( composition(join(skolemFOFtoCNF_X0,X1),top) != composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)
| composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) = composition(join(skolemFOFtoCNF_X0,X1),top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(skolemFOFtoCNF_X0,X1),top))),bind(Y,$fot(composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_1524,plain,
composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top) = composition(join(skolemFOFtoCNF_X0,X1),top),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,X1),top),composition(join(skolemFOFtoCNF_X0,join(X1,skolemFOFtoCNF_X0)),top)) )],[refute_0_1522,refute_0_1523]) ).
cnf(refute_0_1525,plain,
composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) = composition(join(skolemFOFtoCNF_X0,X0),top),
inference(subst,[],[refute_0_1524:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_1526,plain,
( composition(join(X0,skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
| composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top) != composition(join(skolemFOFtoCNF_X0,X0),top)
| composition(join(X0,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,X0),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,skolemFOFtoCNF_X0),top),composition(join(skolemFOFtoCNF_X0,X0),top)) ),[0],$fot(composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top))]]) ).
cnf(refute_0_1527,plain,
( composition(join(X0,skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
| composition(join(X0,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,X0),top) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top),composition(join(skolemFOFtoCNF_X0,X0),top)) )],[refute_0_1525,refute_0_1526]) ).
cnf(refute_0_1528,plain,
( composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top) != composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)
| composition(join(X0,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,X0),top) ),
inference(resolve,[$cnf( $equal(composition(join(X0,skolemFOFtoCNF_X0),top),composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)) )],[refute_0_1467,refute_0_1527]) ).
cnf(refute_0_1529,plain,
composition(join(X0,skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,X0),top),
inference(resolve,[$cnf( $equal(composition(join(X0,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X0)),top),composition(join(skolemFOFtoCNF_X0,join(X0,skolemFOFtoCNF_X0)),top)) )],[refute_0_1416,refute_0_1528]) ).
cnf(refute_0_1530,plain,
composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) = composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),
inference(subst,[],[refute_0_1529:[bind(X0,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1531,plain,
( composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)
| composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) != top
| composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) = top ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top))),bind(Y,$fot(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1532,plain,
( composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) != top
| composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) = top ),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_1530,refute_0_1531]) ).
cnf(refute_0_1533,plain,
composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) = top,
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top),top) )],[refute_0_1361,refute_0_1532]) ).
cnf(refute_0_1534,plain,
join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),
inference(subst,[],[refute_0_1386:[bind(X_58,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1535,plain,
( composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != top
| join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) != composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top)
| join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = top ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))),bind(Y,$fot(composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1536,plain,
( composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top) != top
| join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = top ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top)) )],[refute_0_1534,refute_0_1535]) ).
cnf(refute_0_1537,plain,
join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) = top,
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),skolemFOFtoCNF_X0),top),top) )],[refute_0_1533,refute_0_1536]) ).
cnf(refute_0_1538,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) = join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)),
introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_1539,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) != join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) = join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)),join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1540,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) = join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)),join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_1538,refute_0_1539]) ).
cnf(refute_0_1541,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) = join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_1430,refute_0_1540]) ).
cnf(refute_0_1542,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) != join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))
| join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) != top
| join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) = top ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1543,plain,
( join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)) != top
| join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) = top ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)),join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_1541,refute_0_1542]) ).
cnf(refute_0_1544,plain,
join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) = top,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(complement(skolemFOFtoCNF_X0),top)),top) )],[refute_0_1537,refute_0_1543]) ).
cnf(refute_0_1545,plain,
complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) = complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_1546,plain,
( complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) != complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))
| join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) != top
| complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1547,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) != top
| complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_1545,refute_0_1546]) ).
cnf(refute_0_1548,plain,
complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)),top) )],[refute_0_1544,refute_0_1547]) ).
cnf(refute_0_1549,plain,
( complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) != complement(top)
| complement(top) != zero
| complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) = zero ),
inference(subst,[],[refute_0_56:[bind(X,$fot(complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1550,plain,
( complement(top) != zero
| complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))),complement(top)) )],[refute_0_1548,refute_0_1549]) ).
cnf(refute_0_1551,plain,
complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_1550]) ).
cnf(refute_0_1552,plain,
join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))) = join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))),
introduced(tautology,[refl,[$fot(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_1553,plain,
( complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) != zero
| join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))) != join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))))
| join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))) = join(composition(complement(skolemFOFtoCNF_X0),top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))),join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1554,plain,
( complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))) != zero
| join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))) = join(composition(complement(skolemFOFtoCNF_X0),top),zero) ),
inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))),join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_1552,refute_0_1553]) ).
cnf(refute_0_1555,plain,
join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))) = join(composition(complement(skolemFOFtoCNF_X0),top),zero),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))),zero) )],[refute_0_1551,refute_0_1554]) ).
cnf(refute_0_1556,plain,
( join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))) != join(composition(complement(skolemFOFtoCNF_X0),top),zero)
| join(composition(complement(skolemFOFtoCNF_X0),top),zero) != composition(complement(skolemFOFtoCNF_X0),top)
| join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))))),bind(Y,$fot(join(composition(complement(skolemFOFtoCNF_X0),top),zero))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_1557,plain,
( join(composition(complement(skolemFOFtoCNF_X0),top),zero) != composition(complement(skolemFOFtoCNF_X0),top)
| join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))),join(composition(complement(skolemFOFtoCNF_X0),top),zero)) )],[refute_0_1555,refute_0_1556]) ).
cnf(refute_0_1558,plain,
join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),zero),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_1353,refute_0_1557]) ).
cnf(refute_0_1559,plain,
( complement(skolemFOFtoCNF_X0) != join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))))
| join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))) != composition(complement(skolemFOFtoCNF_X0),top)
| complement(skolemFOFtoCNF_X0) = composition(complement(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) ),[0],$fot(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_1560,plain,
( complement(skolemFOFtoCNF_X0) != join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))))
| complement(skolemFOFtoCNF_X0) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_1558,refute_0_1559]) ).
cnf(refute_0_1561,plain,
complement(skolemFOFtoCNF_X0) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(composition(complement(skolemFOFtoCNF_X0),top),complement(join(complement(complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top))))) )],[refute_0_1352,refute_0_1560]) ).
cnf(refute_0_1562,plain,
( complement(skolemFOFtoCNF_X0) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(skolemFOFtoCNF_X0),top) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_1563,plain,
composition(complement(skolemFOFtoCNF_X0),top) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_1561,refute_0_1562]) ).
cnf(refute_0_1564,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != complement(skolemFOFtoCNF_X0)
| composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top) != join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X0),top))
| composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top) = join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X0),top))) ),[1,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1565,plain,
( composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top) != join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X0),top))
| composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top) = join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),complement(skolemFOFtoCNF_X0)) )],[refute_0_1563,refute_0_1564]) ).
cnf(refute_0_1566,plain,
composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top) = join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top),join(complement(skolemFOFtoCNF_X1),composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_1278,refute_0_1565]) ).
cnf(refute_0_1567,plain,
join(complement(X0),complement(X1)) = join(zero,complement(complement(join(complement(X0),complement(X1))))),
inference(subst,[],[refute_0_186:[bind(X_93,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_1568,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(zero,complement(complement(join(complement(X0),complement(X1)))))
| join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(complement(join(complement(X0),complement(X1)))))) ),[1,1,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_1569,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(complement(join(complement(X0),complement(X1)))))
| join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_78,refute_0_1568]) ).
cnf(refute_0_1570,plain,
join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(complement(join(complement(X0),complement(X1)))))) )],[refute_0_1567,refute_0_1569]) ).
cnf(refute_0_1571,plain,
join(zero,complement(meet(X0,X1))) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_373:[bind(X_93,$fot(complement(meet(X0,X1))))]]) ).
cnf(refute_0_1572,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(meet(X0,X1)))
| join(zero,complement(meet(X0,X1))) != complement(meet(X0,X1))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),complement(meet(X0,X1))) ),[0],$fot(join(zero,complement(meet(X0,X1))))]]) ).
cnf(refute_0_1573,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(meet(X0,X1)))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(meet(X0,X1))),complement(meet(X0,X1))) )],[refute_0_1571,refute_0_1572]) ).
cnf(refute_0_1574,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(meet(X0,X1)))) )],[refute_0_1570,refute_0_1573]) ).
cnf(refute_0_1575,plain,
join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_1574:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1576,plain,
composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) = composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top),
introduced(tautology,[refl,[$fot(composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top))]]) ).
cnf(refute_0_1577,plain,
( composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) != composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top)
| join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)) != complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) = composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top),composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top)) ),[1,0],$fot(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1578,plain,
( join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)) != complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) = composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top),composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top)) )],[refute_0_1576,refute_0_1577]) ).
cnf(refute_0_1579,plain,
composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) = composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_1575,refute_0_1578]) ).
cnf(refute_0_1580,plain,
composition(join(complement(skolemFOFtoCNF_X1),X_521),top) = join(complement(skolemFOFtoCNF_X1),composition(X_521,top)),
inference(subst,[],[refute_0_1277:[bind(X1,$fot(X_521))]]) ).
cnf(refute_0_1581,plain,
join(X_521,complement(skolemFOFtoCNF_X1)) = join(complement(skolemFOFtoCNF_X1),X_521),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_521)),bind(X1,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1582,plain,
( join(X_521,complement(skolemFOFtoCNF_X1)) != join(complement(skolemFOFtoCNF_X1),X_521)
| join(complement(skolemFOFtoCNF_X1),X_521) = join(X_521,complement(skolemFOFtoCNF_X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_521,complement(skolemFOFtoCNF_X1)))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X1),X_521)))]]) ).
cnf(refute_0_1583,plain,
join(complement(skolemFOFtoCNF_X1),X_521) = join(X_521,complement(skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(join(X_521,complement(skolemFOFtoCNF_X1)),join(complement(skolemFOFtoCNF_X1),X_521)) )],[refute_0_1581,refute_0_1582]) ).
cnf(refute_0_1584,plain,
( composition(join(complement(skolemFOFtoCNF_X1),X_521),top) != join(complement(skolemFOFtoCNF_X1),composition(X_521,top))
| join(complement(skolemFOFtoCNF_X1),X_521) != join(X_521,complement(skolemFOFtoCNF_X1))
| composition(join(X_521,complement(skolemFOFtoCNF_X1)),top) = join(complement(skolemFOFtoCNF_X1),composition(X_521,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X1),X_521),top),join(complement(skolemFOFtoCNF_X1),composition(X_521,top))) ),[0,0],$fot(join(X_521,complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1585,plain,
( composition(join(complement(skolemFOFtoCNF_X1),X_521),top) != join(complement(skolemFOFtoCNF_X1),composition(X_521,top))
| composition(join(X_521,complement(skolemFOFtoCNF_X1)),top) = join(complement(skolemFOFtoCNF_X1),composition(X_521,top)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),X_521),join(X_521,complement(skolemFOFtoCNF_X1))) )],[refute_0_1583,refute_0_1584]) ).
cnf(refute_0_1586,plain,
composition(join(X_521,complement(skolemFOFtoCNF_X1)),top) = join(complement(skolemFOFtoCNF_X1),composition(X_521,top)),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X1),X_521),top),join(complement(skolemFOFtoCNF_X1),composition(X_521,top))) )],[refute_0_1580,refute_0_1585]) ).
cnf(refute_0_1587,plain,
( composition(join(complement(skolemFOFtoCNF_X1),X1),top) != join(complement(skolemFOFtoCNF_X1),composition(X1,top))
| join(complement(skolemFOFtoCNF_X1),composition(X1,top)) = composition(join(complement(skolemFOFtoCNF_X1),X1),top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(complement(skolemFOFtoCNF_X1),X1),top))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X1),composition(X1,top))))]]) ).
cnf(refute_0_1588,plain,
join(complement(skolemFOFtoCNF_X1),composition(X1,top)) = composition(join(complement(skolemFOFtoCNF_X1),X1),top),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X1),X1),top),join(complement(skolemFOFtoCNF_X1),composition(X1,top))) )],[refute_0_1277,refute_0_1587]) ).
cnf(refute_0_1589,plain,
join(complement(skolemFOFtoCNF_X1),composition(X_521,top)) = composition(join(complement(skolemFOFtoCNF_X1),X_521),top),
inference(subst,[],[refute_0_1588:[bind(X1,$fot(X_521))]]) ).
cnf(refute_0_1590,plain,
( composition(join(X_521,complement(skolemFOFtoCNF_X1)),top) != join(complement(skolemFOFtoCNF_X1),composition(X_521,top))
| join(complement(skolemFOFtoCNF_X1),composition(X_521,top)) != composition(join(complement(skolemFOFtoCNF_X1),X_521),top)
| composition(join(X_521,complement(skolemFOFtoCNF_X1)),top) = composition(join(complement(skolemFOFtoCNF_X1),X_521),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_521,complement(skolemFOFtoCNF_X1)),top),composition(join(complement(skolemFOFtoCNF_X1),X_521),top)) ),[0],$fot(join(complement(skolemFOFtoCNF_X1),composition(X_521,top)))]]) ).
cnf(refute_0_1591,plain,
( composition(join(X_521,complement(skolemFOFtoCNF_X1)),top) != join(complement(skolemFOFtoCNF_X1),composition(X_521,top))
| composition(join(X_521,complement(skolemFOFtoCNF_X1)),top) = composition(join(complement(skolemFOFtoCNF_X1),X_521),top) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),composition(X_521,top)),composition(join(complement(skolemFOFtoCNF_X1),X_521),top)) )],[refute_0_1589,refute_0_1590]) ).
cnf(refute_0_1592,plain,
composition(join(X_521,complement(skolemFOFtoCNF_X1)),top) = composition(join(complement(skolemFOFtoCNF_X1),X_521),top),
inference(resolve,[$cnf( $equal(composition(join(X_521,complement(skolemFOFtoCNF_X1)),top),join(complement(skolemFOFtoCNF_X1),composition(X_521,top))) )],[refute_0_1586,refute_0_1591]) ).
cnf(refute_0_1593,plain,
( composition(join(X_521,complement(skolemFOFtoCNF_X1)),top) != composition(join(complement(skolemFOFtoCNF_X1),X_521),top)
| composition(join(complement(skolemFOFtoCNF_X1),X_521),top) = composition(join(X_521,complement(skolemFOFtoCNF_X1)),top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_521,complement(skolemFOFtoCNF_X1)),top))),bind(Y,$fot(composition(join(complement(skolemFOFtoCNF_X1),X_521),top)))]]) ).
cnf(refute_0_1594,plain,
composition(join(complement(skolemFOFtoCNF_X1),X_521),top) = composition(join(X_521,complement(skolemFOFtoCNF_X1)),top),
inference(resolve,[$cnf( $equal(composition(join(X_521,complement(skolemFOFtoCNF_X1)),top),composition(join(complement(skolemFOFtoCNF_X1),X_521),top)) )],[refute_0_1592,refute_0_1593]) ).
cnf(refute_0_1595,plain,
composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top) = composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top),
inference(subst,[],[refute_0_1594:[bind(X_521,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1596,plain,
( composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) != composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top)
| composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top) != composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top)
| composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top) = composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top))),bind(Y,$fot(composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top))),bind(Z,$fot(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top)))]]) ).
cnf(refute_0_1597,plain,
( composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top) != composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top)
| composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top) = composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top),composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top)) )],[refute_0_1595,refute_0_1596]) ).
cnf(refute_0_1598,plain,
composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top) = composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),top),composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top)) )],[refute_0_1579,refute_0_1597]) ).
cnf(refute_0_1599,plain,
( composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top) != composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top)
| composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top) != join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0))
| composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) = join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top),join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0))) ),[0],$fot(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top))]]) ).
cnf(refute_0_1600,plain,
( composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top) != join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0))
| composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) = join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top),composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top)) )],[refute_0_1598,refute_0_1599]) ).
cnf(refute_0_1601,plain,
join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) = join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)),
inference(subst,[],[refute_0_446:[bind(X_39,$fot(complement(skolemFOFtoCNF_X0))),bind(X_40,$fot(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_1602,plain,
X_93 = join(meet(X_93,complement(X1)),complement(join(complement(X_93),complement(X1)))),
inference(subst,[],[refute_0_88:[bind(X0,$fot(X_93)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_1603,plain,
meet(X_93,X1) = complement(join(complement(X_93),complement(X1))),
inference(subst,[],[refute_0_35:[bind(X0,$fot(X_93))]]) ).
cnf(refute_0_1604,plain,
( meet(X_93,X1) != complement(join(complement(X_93),complement(X1)))
| complement(join(complement(X_93),complement(X1))) = meet(X_93,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_93,X1))),bind(Y,$fot(complement(join(complement(X_93),complement(X1)))))]]) ).
cnf(refute_0_1605,plain,
complement(join(complement(X_93),complement(X1))) = meet(X_93,X1),
inference(resolve,[$cnf( $equal(meet(X_93,X1),complement(join(complement(X_93),complement(X1)))) )],[refute_0_1603,refute_0_1604]) ).
cnf(refute_0_1606,plain,
( X_93 != join(meet(X_93,complement(X1)),complement(join(complement(X_93),complement(X1))))
| complement(join(complement(X_93),complement(X1))) != meet(X_93,X1)
| X_93 = join(meet(X_93,complement(X1)),meet(X_93,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,complement(X1)),complement(join(complement(X_93),complement(X1))))) ),[1,1],$fot(meet(X_93,X1))]]) ).
cnf(refute_0_1607,plain,
( X_93 != join(meet(X_93,complement(X1)),complement(join(complement(X_93),complement(X1))))
| X_93 = join(meet(X_93,complement(X1)),meet(X_93,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_93),complement(X1))),meet(X_93,X1)) )],[refute_0_1605,refute_0_1606]) ).
cnf(refute_0_1608,plain,
X_93 = join(meet(X_93,complement(X1)),meet(X_93,X1)),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,complement(X1)),complement(join(complement(X_93),complement(X1))))) )],[refute_0_1602,refute_0_1607]) ).
cnf(refute_0_1609,plain,
join(meet(X_93,complement(X1)),meet(X_93,X1)) = join(meet(X_93,X1),meet(X_93,complement(X1))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X_93,X1))),bind(X1,$fot(meet(X_93,complement(X1))))]]) ).
cnf(refute_0_1610,plain,
( X_93 != join(meet(X_93,complement(X1)),meet(X_93,X1))
| join(meet(X_93,complement(X1)),meet(X_93,X1)) != join(meet(X_93,X1),meet(X_93,complement(X1)))
| X_93 = join(meet(X_93,X1),meet(X_93,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(meet(X_93,X1),meet(X_93,complement(X1)))) ),[0],$fot(join(meet(X_93,complement(X1)),meet(X_93,X1)))]]) ).
cnf(refute_0_1611,plain,
( X_93 != join(meet(X_93,complement(X1)),meet(X_93,X1))
| X_93 = join(meet(X_93,X1),meet(X_93,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,complement(X1)),meet(X_93,X1)),join(meet(X_93,X1),meet(X_93,complement(X1)))) )],[refute_0_1609,refute_0_1610]) ).
cnf(refute_0_1612,plain,
X_93 = join(meet(X_93,X1),meet(X_93,complement(X1))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,complement(X1)),meet(X_93,X1))) )],[refute_0_1608,refute_0_1611]) ).
cnf(refute_0_1613,plain,
X_111 = join(meet(X_111,X_110),meet(X_111,complement(X_110))),
inference(subst,[],[refute_0_1612:[bind(X1,$fot(X_110)),bind(X_93,$fot(X_111))]]) ).
cnf(refute_0_1614,plain,
meet(complement(X_110),X_111) = meet(X_111,complement(X_110)),
inference(subst,[],[refute_0_924:[bind(X_29,$fot(complement(X_110))),bind(X_30,$fot(X_111))]]) ).
cnf(refute_0_1615,plain,
( meet(complement(X_110),X_111) != meet(X_111,complement(X_110))
| meet(X_111,complement(X_110)) = meet(complement(X_110),X_111) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(X_110),X_111))),bind(Y,$fot(meet(X_111,complement(X_110))))]]) ).
cnf(refute_0_1616,plain,
meet(X_111,complement(X_110)) = meet(complement(X_110),X_111),
inference(resolve,[$cnf( $equal(meet(complement(X_110),X_111),meet(X_111,complement(X_110))) )],[refute_0_1614,refute_0_1615]) ).
cnf(refute_0_1617,plain,
( X_111 != join(meet(X_111,X_110),meet(X_111,complement(X_110)))
| meet(X_111,complement(X_110)) != meet(complement(X_110),X_111)
| X_111 = join(meet(X_111,X_110),meet(complement(X_110),X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(X_111,join(meet(X_111,X_110),meet(X_111,complement(X_110)))) ),[1,1],$fot(meet(complement(X_110),X_111))]]) ).
cnf(refute_0_1618,plain,
( X_111 != join(meet(X_111,X_110),meet(X_111,complement(X_110)))
| X_111 = join(meet(X_111,X_110),meet(complement(X_110),X_111)) ),
inference(resolve,[$cnf( $equal(meet(X_111,complement(X_110)),meet(complement(X_110),X_111)) )],[refute_0_1616,refute_0_1617]) ).
cnf(refute_0_1619,plain,
X_111 = join(meet(X_111,X_110),meet(complement(X_110),X_111)),
inference(resolve,[$cnf( $equal(X_111,join(meet(X_111,X_110),meet(X_111,complement(X_110)))) )],[refute_0_1613,refute_0_1618]) ).
cnf(refute_0_1620,plain,
complement(skolemFOFtoCNF_X0) = join(meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1619:[bind(X_110,$fot(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),bind(X_111,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1621,plain,
X_93 = join(meet(X_93,X_94),complement(join(complement(X_93),X_94))),
inference(subst,[],[refute_0_88:[bind(X0,$fot(X_93)),bind(X1,$fot(X_94))]]) ).
cnf(refute_0_1622,plain,
meet(X_94,X_93) = meet(X_93,X_94),
inference(subst,[],[refute_0_924:[bind(X_29,$fot(X_94)),bind(X_30,$fot(X_93))]]) ).
cnf(refute_0_1623,plain,
( meet(X_94,X_93) != meet(X_93,X_94)
| meet(X_93,X_94) = meet(X_94,X_93) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_94,X_93))),bind(Y,$fot(meet(X_93,X_94)))]]) ).
cnf(refute_0_1624,plain,
meet(X_93,X_94) = meet(X_94,X_93),
inference(resolve,[$cnf( $equal(meet(X_94,X_93),meet(X_93,X_94)) )],[refute_0_1622,refute_0_1623]) ).
cnf(refute_0_1625,plain,
( X_93 != join(meet(X_93,X_94),complement(join(complement(X_93),X_94)))
| meet(X_93,X_94) != meet(X_94,X_93)
| X_93 = join(meet(X_94,X_93),complement(join(complement(X_93),X_94))) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,X_94),complement(join(complement(X_93),X_94)))) ),[1,0],$fot(meet(X_94,X_93))]]) ).
cnf(refute_0_1626,plain,
( X_93 != join(meet(X_93,X_94),complement(join(complement(X_93),X_94)))
| X_93 = join(meet(X_94,X_93),complement(join(complement(X_93),X_94))) ),
inference(resolve,[$cnf( $equal(meet(X_93,X_94),meet(X_94,X_93)) )],[refute_0_1624,refute_0_1625]) ).
cnf(refute_0_1627,plain,
X_93 = join(meet(X_94,X_93),complement(join(complement(X_93),X_94))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,X_94),complement(join(complement(X_93),X_94)))) )],[refute_0_1621,refute_0_1626]) ).
cnf(refute_0_1628,plain,
complement(X_93) = join(meet(X_119,complement(X_93)),complement(join(complement(complement(X_93)),X_119))),
inference(subst,[],[refute_0_1627:[bind(X_93,$fot(complement(X_93))),bind(X_94,$fot(X_119))]]) ).
cnf(refute_0_1629,plain,
( complement(X_93) != join(meet(X_119,complement(X_93)),complement(join(complement(complement(X_93)),X_119)))
| complement(complement(X_93)) != X_93
| complement(X_93) = join(meet(X_119,complement(X_93)),complement(join(X_93,X_119))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_93),join(meet(X_119,complement(X_93)),complement(join(complement(complement(X_93)),X_119)))) ),[1,1,0,0],$fot(X_93)]]) ).
cnf(refute_0_1630,plain,
( complement(X_93) != join(meet(X_119,complement(X_93)),complement(join(complement(complement(X_93)),X_119)))
| complement(X_93) = join(meet(X_119,complement(X_93)),complement(join(X_93,X_119))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_93)),X_93) )],[refute_0_352,refute_0_1629]) ).
cnf(refute_0_1631,plain,
complement(X_93) = join(meet(X_119,complement(X_93)),complement(join(X_93,X_119))),
inference(resolve,[$cnf( $equal(complement(X_93),join(meet(X_119,complement(X_93)),complement(join(complement(complement(X_93)),X_119)))) )],[refute_0_1628,refute_0_1630]) ).
cnf(refute_0_1632,plain,
join(meet(X_119,complement(X_93)),complement(join(X_93,X_119))) = join(complement(join(X_93,X_119)),meet(X_119,complement(X_93))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(X_93,X_119)))),bind(X1,$fot(meet(X_119,complement(X_93))))]]) ).
cnf(refute_0_1633,plain,
( complement(X_93) != join(meet(X_119,complement(X_93)),complement(join(X_93,X_119)))
| join(meet(X_119,complement(X_93)),complement(join(X_93,X_119))) != join(complement(join(X_93,X_119)),meet(X_119,complement(X_93)))
| complement(X_93) = join(complement(join(X_93,X_119)),meet(X_119,complement(X_93))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_93),join(complement(join(X_93,X_119)),meet(X_119,complement(X_93)))) ),[0],$fot(join(meet(X_119,complement(X_93)),complement(join(X_93,X_119))))]]) ).
cnf(refute_0_1634,plain,
( complement(X_93) != join(meet(X_119,complement(X_93)),complement(join(X_93,X_119)))
| complement(X_93) = join(complement(join(X_93,X_119)),meet(X_119,complement(X_93))) ),
inference(resolve,[$cnf( $equal(join(meet(X_119,complement(X_93)),complement(join(X_93,X_119))),join(complement(join(X_93,X_119)),meet(X_119,complement(X_93)))) )],[refute_0_1632,refute_0_1633]) ).
cnf(refute_0_1635,plain,
complement(X_93) = join(complement(join(X_93,X_119)),meet(X_119,complement(X_93))),
inference(resolve,[$cnf( $equal(complement(X_93),join(meet(X_119,complement(X_93)),complement(join(X_93,X_119)))) )],[refute_0_1631,refute_0_1634]) ).
cnf(refute_0_1636,plain,
complement(skolemFOFtoCNF_X0) = join(complement(join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1635:[bind(X_119,$fot(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),bind(X_93,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1637,plain,
converse(join(join(converse(complement(converse(X1))),X_152),X1)) = converse(join(X1,join(converse(complement(converse(X1))),X_152))),
inference(subst,[],[refute_0_808:[bind(X0,$fot(join(converse(complement(converse(X1))),X_152)))]]) ).
cnf(refute_0_1638,plain,
join(X_39,join(converse(complement(converse(X_39))),X_41)) = join(join(X_39,converse(complement(converse(X_39)))),X_41),
inference(subst,[],[refute_0_242:[bind(X0,$fot(X_39)),bind(X1,$fot(converse(complement(converse(X_39))))),bind(X2,$fot(X_41))]]) ).
cnf(refute_0_1639,plain,
converse(top) = join(X_39,converse(complement(converse(X_39)))),
inference(subst,[],[refute_0_662:[bind(X_10,$fot(X_39))]]) ).
cnf(refute_0_1640,plain,
( converse(top) != join(X_39,converse(complement(converse(X_39))))
| join(X_39,converse(complement(converse(X_39)))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_39,converse(complement(converse(X_39))))))]]) ).
cnf(refute_0_1641,plain,
join(X_39,converse(complement(converse(X_39)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(X_39,converse(complement(converse(X_39))))) )],[refute_0_1639,refute_0_1640]) ).
cnf(refute_0_1642,plain,
( join(X_39,converse(complement(converse(X_39)))) != converse(top)
| join(X_39,join(converse(complement(converse(X_39))),X_41)) != join(join(X_39,converse(complement(converse(X_39)))),X_41)
| join(X_39,join(converse(complement(converse(X_39))),X_41)) = join(converse(top),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_39,join(converse(complement(converse(X_39))),X_41)),join(join(X_39,converse(complement(converse(X_39)))),X_41)) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_1643,plain,
( join(X_39,join(converse(complement(converse(X_39))),X_41)) != join(join(X_39,converse(complement(converse(X_39)))),X_41)
| join(X_39,join(converse(complement(converse(X_39))),X_41)) = join(converse(top),X_41) ),
inference(resolve,[$cnf( $equal(join(X_39,converse(complement(converse(X_39)))),converse(top)) )],[refute_0_1641,refute_0_1642]) ).
cnf(refute_0_1644,plain,
join(X_39,join(converse(complement(converse(X_39))),X_41)) = join(converse(top),X_41),
inference(resolve,[$cnf( $equal(join(X_39,join(converse(complement(converse(X_39))),X_41)),join(join(X_39,converse(complement(converse(X_39)))),X_41)) )],[refute_0_1638,refute_0_1643]) ).
cnf(refute_0_1645,plain,
join(top,X_41) = top,
inference(subst,[],[refute_0_566:[bind(X_39,$fot(X_41))]]) ).
cnf(refute_0_1646,plain,
join(converse(top),X_41) = join(converse(top),X_41),
introduced(tautology,[refl,[$fot(join(converse(top),X_41))]]) ).
cnf(refute_0_1647,plain,
( converse(top) != top
| join(converse(top),X_41) != join(converse(top),X_41)
| join(converse(top),X_41) = join(top,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),X_41),join(converse(top),X_41)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1648,plain,
( converse(top) != top
| join(converse(top),X_41) = join(top,X_41) ),
inference(resolve,[$cnf( $equal(join(converse(top),X_41),join(converse(top),X_41)) )],[refute_0_1646,refute_0_1647]) ).
cnf(refute_0_1649,plain,
join(converse(top),X_41) = join(top,X_41),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_851,refute_0_1648]) ).
cnf(refute_0_1650,plain,
( join(converse(top),X_41) != join(top,X_41)
| join(top,X_41) != top
| join(converse(top),X_41) = top ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(converse(top),X_41))),bind(Y,$fot(join(top,X_41))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1651,plain,
( join(top,X_41) != top
| join(converse(top),X_41) = top ),
inference(resolve,[$cnf( $equal(join(converse(top),X_41),join(top,X_41)) )],[refute_0_1649,refute_0_1650]) ).
cnf(refute_0_1652,plain,
join(converse(top),X_41) = top,
inference(resolve,[$cnf( $equal(join(top,X_41),top) )],[refute_0_1645,refute_0_1651]) ).
cnf(refute_0_1653,plain,
( join(X_39,join(converse(complement(converse(X_39))),X_41)) != join(converse(top),X_41)
| join(converse(top),X_41) != top
| join(X_39,join(converse(complement(converse(X_39))),X_41)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_39,join(converse(complement(converse(X_39))),X_41)),top) ),[0],$fot(join(converse(top),X_41))]]) ).
cnf(refute_0_1654,plain,
( join(X_39,join(converse(complement(converse(X_39))),X_41)) != join(converse(top),X_41)
| join(X_39,join(converse(complement(converse(X_39))),X_41)) = top ),
inference(resolve,[$cnf( $equal(join(converse(top),X_41),top) )],[refute_0_1652,refute_0_1653]) ).
cnf(refute_0_1655,plain,
join(X_39,join(converse(complement(converse(X_39))),X_41)) = top,
inference(resolve,[$cnf( $equal(join(X_39,join(converse(complement(converse(X_39))),X_41)),join(converse(top),X_41)) )],[refute_0_1644,refute_0_1654]) ).
cnf(refute_0_1656,plain,
join(X1,join(converse(complement(converse(X1))),X_152)) = top,
inference(subst,[],[refute_0_1655:[bind(X_39,$fot(X1)),bind(X_41,$fot(X_152))]]) ).
cnf(refute_0_1657,plain,
( converse(join(join(converse(complement(converse(X1))),X_152),X1)) != converse(join(X1,join(converse(complement(converse(X1))),X_152)))
| join(X1,join(converse(complement(converse(X1))),X_152)) != top
| converse(join(join(converse(complement(converse(X1))),X_152),X1)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_152),X1)),converse(join(X1,join(converse(complement(converse(X1))),X_152)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1658,plain,
( converse(join(join(converse(complement(converse(X1))),X_152),X1)) != converse(join(X1,join(converse(complement(converse(X1))),X_152)))
| converse(join(join(converse(complement(converse(X1))),X_152),X1)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(X1,join(converse(complement(converse(X1))),X_152)),top) )],[refute_0_1656,refute_0_1657]) ).
cnf(refute_0_1659,plain,
converse(join(join(converse(complement(converse(X1))),X_152),X1)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_152),X1)),converse(join(X1,join(converse(complement(converse(X1))),X_152)))) )],[refute_0_1637,refute_0_1658]) ).
cnf(refute_0_1660,plain,
converse(join(converse(X0),join(X_140,X_138))) = join(X0,converse(join(X_140,X_138))),
inference(subst,[],[refute_0_655:[bind(X_5,$fot(join(X_140,X_138)))]]) ).
cnf(refute_0_1661,plain,
join(X_138,join(converse(X0),X_140)) = join(converse(X0),join(X_140,X_138)),
inference(subst,[],[refute_0_446:[bind(X0,$fot(X_138)),bind(X_39,$fot(converse(X0))),bind(X_40,$fot(X_140))]]) ).
cnf(refute_0_1662,plain,
( join(X_138,join(converse(X0),X_140)) != join(converse(X0),join(X_140,X_138))
| join(converse(X0),join(X_140,X_138)) = join(X_138,join(converse(X0),X_140)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_138,join(converse(X0),X_140)))),bind(Y,$fot(join(converse(X0),join(X_140,X_138))))]]) ).
cnf(refute_0_1663,plain,
join(converse(X0),join(X_140,X_138)) = join(X_138,join(converse(X0),X_140)),
inference(resolve,[$cnf( $equal(join(X_138,join(converse(X0),X_140)),join(converse(X0),join(X_140,X_138))) )],[refute_0_1661,refute_0_1662]) ).
cnf(refute_0_1664,plain,
( converse(join(converse(X0),join(X_140,X_138))) != join(X0,converse(join(X_140,X_138)))
| join(converse(X0),join(X_140,X_138)) != join(X_138,join(converse(X0),X_140))
| converse(join(X_138,join(converse(X0),X_140))) = join(X0,converse(join(X_140,X_138))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_140,X_138))),join(X0,converse(join(X_140,X_138)))) ),[0,0],$fot(join(X_138,join(converse(X0),X_140)))]]) ).
cnf(refute_0_1665,plain,
( converse(join(converse(X0),join(X_140,X_138))) != join(X0,converse(join(X_140,X_138)))
| converse(join(X_138,join(converse(X0),X_140))) = join(X0,converse(join(X_140,X_138))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(X_140,X_138)),join(X_138,join(converse(X0),X_140))) )],[refute_0_1663,refute_0_1664]) ).
cnf(refute_0_1666,plain,
converse(join(X_138,join(converse(X0),X_140))) = join(X0,converse(join(X_140,X_138))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_140,X_138))),join(X0,converse(join(X_140,X_138)))) )],[refute_0_1660,refute_0_1665]) ).
cnf(refute_0_1667,plain,
converse(join(X1,join(converse(complement(converse(X1))),X_152))) = join(complement(converse(X1)),converse(join(X_152,X1))),
inference(subst,[],[refute_0_1666:[bind(X0,$fot(complement(converse(X1)))),bind(X_138,$fot(X1)),bind(X_140,$fot(X_152))]]) ).
cnf(refute_0_1668,plain,
( converse(join(X1,join(converse(complement(converse(X1))),X_152))) != join(complement(converse(X1)),converse(join(X_152,X1)))
| converse(join(join(converse(complement(converse(X1))),X_152),X1)) != converse(join(X1,join(converse(complement(converse(X1))),X_152)))
| converse(join(join(converse(complement(converse(X1))),X_152),X1)) = join(complement(converse(X1)),converse(join(X_152,X1))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(converse(join(join(converse(complement(converse(X1))),X_152),X1)))),bind(Y,$fot(converse(join(X1,join(converse(complement(converse(X1))),X_152))))),bind(Z,$fot(join(complement(converse(X1)),converse(join(X_152,X1)))))]]) ).
cnf(refute_0_1669,plain,
( converse(join(X1,join(converse(complement(converse(X1))),X_152))) != join(complement(converse(X1)),converse(join(X_152,X1)))
| converse(join(join(converse(complement(converse(X1))),X_152),X1)) = join(complement(converse(X1)),converse(join(X_152,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_152),X1)),converse(join(X1,join(converse(complement(converse(X1))),X_152)))) )],[refute_0_1637,refute_0_1668]) ).
cnf(refute_0_1670,plain,
converse(join(join(converse(complement(converse(X1))),X_152),X1)) = join(complement(converse(X1)),converse(join(X_152,X1))),
inference(resolve,[$cnf( $equal(converse(join(X1,join(converse(complement(converse(X1))),X_152))),join(complement(converse(X1)),converse(join(X_152,X1)))) )],[refute_0_1667,refute_0_1669]) ).
cnf(refute_0_1671,plain,
( converse(join(join(converse(complement(converse(X1))),X_152),X1)) != converse(top)
| converse(join(join(converse(complement(converse(X1))),X_152),X1)) != join(complement(converse(X1)),converse(join(X_152,X1)))
| join(complement(converse(X1)),converse(join(X_152,X1))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_152),X1)),converse(top)) ),[0],$fot(join(complement(converse(X1)),converse(join(X_152,X1))))]]) ).
cnf(refute_0_1672,plain,
( converse(join(join(converse(complement(converse(X1))),X_152),X1)) != converse(top)
| join(complement(converse(X1)),converse(join(X_152,X1))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_152),X1)),join(complement(converse(X1)),converse(join(X_152,X1)))) )],[refute_0_1670,refute_0_1671]) ).
cnf(refute_0_1673,plain,
( converse(top) != top
| join(complement(converse(X1)),converse(join(X_152,X1))) != converse(top)
| join(complement(converse(X1)),converse(join(X_152,X1))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X1)),converse(join(X_152,X1))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_1674,plain,
( join(complement(converse(X1)),converse(join(X_152,X1))) != converse(top)
| join(complement(converse(X1)),converse(join(X_152,X1))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_851,refute_0_1673]) ).
cnf(refute_0_1675,plain,
( converse(join(join(converse(complement(converse(X1))),X_152),X1)) != converse(top)
| join(complement(converse(X1)),converse(join(X_152,X1))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(X1)),converse(join(X_152,X1))),converse(top)) )],[refute_0_1672,refute_0_1674]) ).
cnf(refute_0_1676,plain,
join(complement(converse(X1)),converse(join(X_152,X1))) = top,
inference(resolve,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_152),X1)),converse(top)) )],[refute_0_1659,refute_0_1675]) ).
cnf(refute_0_1677,plain,
join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) = top,
inference(subst,[],[refute_0_1676:[bind(X1,$fot(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),bind(X_152,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1678,plain,
X_93 = join(meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))),complement(join(complement(X_93),composition(converse(X0),complement(composition(X0,X_93)))))),
inference(subst,[],[refute_0_88:[bind(X0,$fot(X_93)),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X_93)))))]]) ).
cnf(refute_0_1679,plain,
join(complement(X_93),composition(converse(X0),complement(composition(X0,X_93)))) = complement(X_93),
inference(subst,[],[refute_0_10:[bind(X1,$fot(X_93))]]) ).
cnf(refute_0_1680,plain,
( X_93 != join(meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))),complement(join(complement(X_93),composition(converse(X0),complement(composition(X0,X_93))))))
| join(complement(X_93),composition(converse(X0),complement(composition(X0,X_93)))) != complement(X_93)
| X_93 = join(meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))),complement(complement(X_93))) ),
introduced(tautology,[equality,[$cnf( $equal(X_93,join(meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))),complement(join(complement(X_93),composition(converse(X0),complement(composition(X0,X_93))))))) ),[1,1,0],$fot(complement(X_93))]]) ).
cnf(refute_0_1681,plain,
( X_93 != join(meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))),complement(join(complement(X_93),composition(converse(X0),complement(composition(X0,X_93))))))
| X_93 = join(meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))),complement(complement(X_93))) ),
inference(resolve,[$cnf( $equal(join(complement(X_93),composition(converse(X0),complement(composition(X0,X_93)))),complement(X_93)) )],[refute_0_1679,refute_0_1680]) ).
cnf(refute_0_1682,plain,
X_93 = join(meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))),complement(complement(X_93))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))),complement(join(complement(X_93),composition(converse(X0),complement(composition(X0,X_93))))))) )],[refute_0_1678,refute_0_1681]) ).
cnf(refute_0_1683,plain,
join(meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))),complement(complement(X_93))) = join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(complement(X_93)))),bind(X1,$fot(meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))))]]) ).
cnf(refute_0_1684,plain,
( X_93 != join(meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))),complement(complement(X_93)))
| join(meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))),complement(complement(X_93))) != join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))))
| X_93 = join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))))) ),[0],$fot(join(meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))),complement(complement(X_93))))]]) ).
cnf(refute_0_1685,plain,
( X_93 != join(meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))),complement(complement(X_93)))
| X_93 = join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))),complement(complement(X_93))),join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))))) )],[refute_0_1683,refute_0_1684]) ).
cnf(refute_0_1686,plain,
X_93 = join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))),
inference(resolve,[$cnf( $equal(X_93,join(meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))),complement(complement(X_93)))) )],[refute_0_1682,refute_0_1685]) ).
cnf(refute_0_1687,plain,
join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))) = join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))))]]) ).
cnf(refute_0_1688,plain,
( complement(complement(X_93)) != X_93
| join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))) != join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))))
| join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))) = join(X_93,meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))),join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))))) ),[1,0],$fot(X_93)]]) ).
cnf(refute_0_1689,plain,
( complement(complement(X_93)) != X_93
| join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))) = join(X_93,meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))),join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))))) )],[refute_0_1687,refute_0_1688]) ).
cnf(refute_0_1690,plain,
join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))) = join(X_93,meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))),
inference(resolve,[$cnf( $equal(complement(complement(X_93)),X_93) )],[refute_0_352,refute_0_1689]) ).
cnf(refute_0_1691,plain,
( X_93 != join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))))
| join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))) != join(X_93,meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))))
| X_93 = join(X_93,meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,join(X_93,meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))))) ),[0],$fot(join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))))]]) ).
cnf(refute_0_1692,plain,
( X_93 != join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))))
| X_93 = join(X_93,meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))),join(X_93,meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))))) )],[refute_0_1690,refute_0_1691]) ).
cnf(refute_0_1693,plain,
X_93 = join(X_93,meet(X_93,composition(converse(X0),complement(composition(X0,X_93))))),
inference(resolve,[$cnf( $equal(X_93,join(complement(complement(X_93)),meet(X_93,composition(converse(X0),complement(composition(X0,X_93)))))) )],[refute_0_1686,refute_0_1692]) ).
cnf(refute_0_1694,plain,
converse(skolemFOFtoCNF_X0) = join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1693:[bind(X0,$fot(join(one,skolemFOFtoCNF_X0))),bind(X_93,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1695,plain,
composition(join(one,skolemFOFtoCNF_X0),composition(top,X2)) = composition(composition(join(one,skolemFOFtoCNF_X0),top),X2),
inference(subst,[],[refute_0_379:[bind(X0,$fot(join(one,skolemFOFtoCNF_X0))),bind(X1,$fot(top))]]) ).
cnf(refute_0_1696,plain,
composition(join(one,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,composition(one,top)),
inference(subst,[],[refute_0_1370:[bind(X_58,$fot(one))]]) ).
cnf(refute_0_1697,plain,
( composition(join(one,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(one,top))
| composition(one,top) != top
| composition(join(one,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1698,plain,
( composition(join(one,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,composition(one,top))
| composition(join(one,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(one,top),top) )],[refute_0_974,refute_0_1697]) ).
cnf(refute_0_1699,plain,
composition(join(one,skolemFOFtoCNF_X0),top) = join(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,composition(one,top))) )],[refute_0_1696,refute_0_1698]) ).
cnf(refute_0_1700,plain,
( composition(join(one,skolemFOFtoCNF_X0),composition(top,X2)) != composition(composition(join(one,skolemFOFtoCNF_X0),top),X2)
| composition(join(one,skolemFOFtoCNF_X0),top) != join(skolemFOFtoCNF_X0,top)
| composition(join(one,skolemFOFtoCNF_X0),composition(top,X2)) = composition(join(skolemFOFtoCNF_X0,top),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),composition(top,X2)),composition(composition(join(one,skolemFOFtoCNF_X0),top),X2)) ),[1,0],$fot(join(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_1701,plain,
( composition(join(one,skolemFOFtoCNF_X0),composition(top,X2)) != composition(composition(join(one,skolemFOFtoCNF_X0),top),X2)
| composition(join(one,skolemFOFtoCNF_X0),composition(top,X2)) = composition(join(skolemFOFtoCNF_X0,top),X2) ),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),top),join(skolemFOFtoCNF_X0,top)) )],[refute_0_1699,refute_0_1700]) ).
cnf(refute_0_1702,plain,
composition(join(one,skolemFOFtoCNF_X0),composition(top,X2)) = composition(join(skolemFOFtoCNF_X0,top),X2),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),composition(top,X2)),composition(composition(join(one,skolemFOFtoCNF_X0),top),X2)) )],[refute_0_1695,refute_0_1701]) ).
cnf(refute_0_1703,plain,
join(skolemFOFtoCNF_X0,top) = top,
inference(subst,[],[refute_0_270:[bind(X_43,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1704,plain,
composition(join(skolemFOFtoCNF_X0,top),X2) = composition(join(skolemFOFtoCNF_X0,top),X2),
introduced(tautology,[refl,[$fot(composition(join(skolemFOFtoCNF_X0,top),X2))]]) ).
cnf(refute_0_1705,plain,
( composition(join(skolemFOFtoCNF_X0,top),X2) != composition(join(skolemFOFtoCNF_X0,top),X2)
| join(skolemFOFtoCNF_X0,top) != top
| composition(join(skolemFOFtoCNF_X0,top),X2) = composition(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,top),X2),composition(join(skolemFOFtoCNF_X0,top),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1706,plain,
( join(skolemFOFtoCNF_X0,top) != top
| composition(join(skolemFOFtoCNF_X0,top),X2) = composition(top,X2) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,top),X2),composition(join(skolemFOFtoCNF_X0,top),X2)) )],[refute_0_1704,refute_0_1705]) ).
cnf(refute_0_1707,plain,
composition(join(skolemFOFtoCNF_X0,top),X2) = composition(top,X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,top),top) )],[refute_0_1703,refute_0_1706]) ).
cnf(refute_0_1708,plain,
( composition(join(one,skolemFOFtoCNF_X0),composition(top,X2)) != composition(join(skolemFOFtoCNF_X0,top),X2)
| composition(join(skolemFOFtoCNF_X0,top),X2) != composition(top,X2)
| composition(join(one,skolemFOFtoCNF_X0),composition(top,X2)) = composition(top,X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,skolemFOFtoCNF_X0),composition(top,X2)),composition(top,X2)) ),[0],$fot(composition(join(skolemFOFtoCNF_X0,top),X2))]]) ).
cnf(refute_0_1709,plain,
( composition(join(one,skolemFOFtoCNF_X0),composition(top,X2)) != composition(join(skolemFOFtoCNF_X0,top),X2)
| composition(join(one,skolemFOFtoCNF_X0),composition(top,X2)) = composition(top,X2) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,top),X2),composition(top,X2)) )],[refute_0_1707,refute_0_1708]) ).
cnf(refute_0_1710,plain,
composition(join(one,skolemFOFtoCNF_X0),composition(top,X2)) = composition(top,X2),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),composition(top,X2)),composition(join(skolemFOFtoCNF_X0,top),X2)) )],[refute_0_1702,refute_0_1709]) ).
cnf(refute_0_1711,plain,
composition(join(one,skolemFOFtoCNF_X0),composition(top,converse(X_6))) = composition(top,converse(X_6)),
inference(subst,[],[refute_0_1710:[bind(X2,$fot(converse(X_6)))]]) ).
cnf(refute_0_1712,plain,
converse(composition(X_6,converse(X0))) = composition(converse(converse(X0)),converse(X_6)),
inference(subst,[],[refute_0_12:[bind(X0,$fot(X_6)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_1713,plain,
( converse(composition(X_6,converse(X0))) != composition(converse(converse(X0)),converse(X_6))
| converse(converse(X0)) != X0
| converse(composition(X_6,converse(X0))) = composition(X0,converse(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_6,converse(X0))),composition(converse(converse(X0)),converse(X_6))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_1714,plain,
( converse(composition(X_6,converse(X0))) != composition(converse(converse(X0)),converse(X_6))
| converse(composition(X_6,converse(X0))) = composition(X0,converse(X_6)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_18,refute_0_1713]) ).
cnf(refute_0_1715,plain,
converse(composition(X_6,converse(X0))) = composition(X0,converse(X_6)),
inference(resolve,[$cnf( $equal(converse(composition(X_6,converse(X0))),composition(converse(converse(X0)),converse(X_6))) )],[refute_0_1712,refute_0_1714]) ).
cnf(refute_0_1716,plain,
converse(composition(X_6,converse(complement(converse(zero))))) = composition(complement(converse(zero)),converse(X_6)),
inference(subst,[],[refute_0_1715:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1717,plain,
( converse(complement(converse(zero))) != top
| converse(composition(X_6,converse(complement(converse(zero))))) != composition(complement(converse(zero)),converse(X_6))
| converse(composition(X_6,top)) = composition(complement(converse(zero)),converse(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_6,converse(complement(converse(zero))))),composition(complement(converse(zero)),converse(X_6))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_1718,plain,
( converse(composition(X_6,converse(complement(converse(zero))))) != composition(complement(converse(zero)),converse(X_6))
| converse(composition(X_6,top)) = composition(complement(converse(zero)),converse(X_6)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_864,refute_0_1717]) ).
cnf(refute_0_1719,plain,
converse(composition(X_6,top)) = composition(complement(converse(zero)),converse(X_6)),
inference(resolve,[$cnf( $equal(converse(composition(X_6,converse(complement(converse(zero))))),composition(complement(converse(zero)),converse(X_6))) )],[refute_0_1716,refute_0_1718]) ).
cnf(refute_0_1720,plain,
composition(complement(converse(zero)),converse(X_6)) = composition(complement(converse(zero)),converse(X_6)),
introduced(tautology,[refl,[$fot(composition(complement(converse(zero)),converse(X_6)))]]) ).
cnf(refute_0_1721,plain,
( complement(converse(zero)) != top
| composition(complement(converse(zero)),converse(X_6)) != composition(complement(converse(zero)),converse(X_6))
| composition(complement(converse(zero)),converse(X_6)) = composition(top,converse(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(zero)),converse(X_6)),composition(complement(converse(zero)),converse(X_6))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1722,plain,
( complement(converse(zero)) != top
| composition(complement(converse(zero)),converse(X_6)) = composition(top,converse(X_6)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(zero)),converse(X_6)),composition(complement(converse(zero)),converse(X_6))) )],[refute_0_1720,refute_0_1721]) ).
cnf(refute_0_1723,plain,
composition(complement(converse(zero)),converse(X_6)) = composition(top,converse(X_6)),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_900,refute_0_1722]) ).
cnf(refute_0_1724,plain,
( composition(complement(converse(zero)),converse(X_6)) != composition(top,converse(X_6))
| converse(composition(X_6,top)) != composition(complement(converse(zero)),converse(X_6))
| converse(composition(X_6,top)) = composition(top,converse(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_6,top)),composition(complement(converse(zero)),converse(X_6))) ),[1],$fot(composition(top,converse(X_6)))]]) ).
cnf(refute_0_1725,plain,
( converse(composition(X_6,top)) != composition(complement(converse(zero)),converse(X_6))
| converse(composition(X_6,top)) = composition(top,converse(X_6)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(zero)),converse(X_6)),composition(top,converse(X_6))) )],[refute_0_1723,refute_0_1724]) ).
cnf(refute_0_1726,plain,
converse(composition(X_6,top)) = composition(top,converse(X_6)),
inference(resolve,[$cnf( $equal(converse(composition(X_6,top)),composition(complement(converse(zero)),converse(X_6))) )],[refute_0_1719,refute_0_1725]) ).
cnf(refute_0_1727,plain,
( converse(composition(X_6,top)) != composition(top,converse(X_6))
| composition(top,converse(X_6)) = converse(composition(X_6,top)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X_6,top)))),bind(Y,$fot(composition(top,converse(X_6))))]]) ).
cnf(refute_0_1728,plain,
composition(top,converse(X_6)) = converse(composition(X_6,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_6,top)),composition(top,converse(X_6))) )],[refute_0_1726,refute_0_1727]) ).
cnf(refute_0_1729,plain,
( composition(join(one,skolemFOFtoCNF_X0),composition(top,converse(X_6))) != composition(top,converse(X_6))
| composition(top,converse(X_6)) != converse(composition(X_6,top))
| composition(join(one,skolemFOFtoCNF_X0),converse(composition(X_6,top))) = composition(top,converse(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),composition(top,converse(X_6))),composition(top,converse(X_6))) ),[0,1],$fot(converse(composition(X_6,top)))]]) ).
cnf(refute_0_1730,plain,
( composition(join(one,skolemFOFtoCNF_X0),composition(top,converse(X_6))) != composition(top,converse(X_6))
| composition(join(one,skolemFOFtoCNF_X0),converse(composition(X_6,top))) = composition(top,converse(X_6)) ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_6)),converse(composition(X_6,top))) )],[refute_0_1728,refute_0_1729]) ).
cnf(refute_0_1731,plain,
composition(join(one,skolemFOFtoCNF_X0),converse(composition(X_6,top))) = composition(top,converse(X_6)),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),composition(top,converse(X_6))),composition(top,converse(X_6))) )],[refute_0_1711,refute_0_1730]) ).
cnf(refute_0_1732,plain,
( composition(join(one,skolemFOFtoCNF_X0),converse(composition(X_6,top))) != composition(top,converse(X_6))
| composition(top,converse(X_6)) != converse(composition(X_6,top))
| composition(join(one,skolemFOFtoCNF_X0),converse(composition(X_6,top))) = converse(composition(X_6,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,skolemFOFtoCNF_X0),converse(composition(X_6,top))),converse(composition(X_6,top))) ),[0],$fot(composition(top,converse(X_6)))]]) ).
cnf(refute_0_1733,plain,
( composition(join(one,skolemFOFtoCNF_X0),converse(composition(X_6,top))) != composition(top,converse(X_6))
| composition(join(one,skolemFOFtoCNF_X0),converse(composition(X_6,top))) = converse(composition(X_6,top)) ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_6)),converse(composition(X_6,top))) )],[refute_0_1728,refute_0_1732]) ).
cnf(refute_0_1734,plain,
composition(join(one,skolemFOFtoCNF_X0),converse(composition(X_6,top))) = converse(composition(X_6,top)),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),converse(composition(X_6,top))),composition(top,converse(X_6))) )],[refute_0_1731,refute_0_1733]) ).
cnf(refute_0_1735,plain,
composition(join(one,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,top))) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_1734:[bind(X_6,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1736,plain,
( composition(join(one,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,top))) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
| composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = converse(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,top))) ),[0,1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1737,plain,
( composition(join(one,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,top))) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = converse(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),skolemFOFtoCNF_X0) )],[refute_0_1284,refute_0_1736]) ).
cnf(refute_0_1738,plain,
composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = converse(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),converse(composition(skolemFOFtoCNF_X0,top))),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_1735,refute_0_1737]) ).
cnf(refute_0_1739,plain,
converse(composition(skolemFOFtoCNF_X0,top)) = converse(composition(skolemFOFtoCNF_X0,top)),
introduced(tautology,[refl,[$fot(converse(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_1740,plain,
( composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
| converse(composition(skolemFOFtoCNF_X0,top)) != converse(composition(skolemFOFtoCNF_X0,top))
| converse(composition(skolemFOFtoCNF_X0,top)) = converse(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1741,plain,
( composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
| converse(composition(skolemFOFtoCNF_X0,top)) = converse(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_1739,refute_0_1740]) ).
cnf(refute_0_1742,plain,
converse(composition(skolemFOFtoCNF_X0,top)) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),skolemFOFtoCNF_X0) )],[refute_0_1284,refute_0_1741]) ).
cnf(refute_0_1743,plain,
( composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) != converse(composition(skolemFOFtoCNF_X0,top))
| converse(composition(skolemFOFtoCNF_X0,top)) != converse(skolemFOFtoCNF_X0)
| composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) ),[0],$fot(converse(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_1744,plain,
( composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) != converse(composition(skolemFOFtoCNF_X0,top))
| composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(converse(composition(skolemFOFtoCNF_X0,top)),converse(skolemFOFtoCNF_X0)) )],[refute_0_1742,refute_0_1743]) ).
cnf(refute_0_1745,plain,
composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),converse(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_1738,refute_0_1744]) ).
cnf(refute_0_1746,plain,
( composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) != converse(skolemFOFtoCNF_X0)
| converse(skolemFOFtoCNF_X0) != join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| converse(skolemFOFtoCNF_X0) = join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),[1,1,1,1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1747,plain,
( converse(skolemFOFtoCNF_X0) != join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| converse(skolemFOFtoCNF_X0) = join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) )],[refute_0_1745,refute_0_1746]) ).
cnf(refute_0_1748,plain,
converse(skolemFOFtoCNF_X0) = join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(join(one,skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1694,refute_0_1747]) ).
cnf(refute_0_1749,plain,
( converse(skolemFOFtoCNF_X0) != join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) = converse(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(skolemFOFtoCNF_X0))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1750,plain,
join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1748,refute_0_1749]) ).
cnf(refute_0_1751,plain,
( join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) != top
| join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) != converse(skolemFOFtoCNF_X0)
| join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(skolemFOFtoCNF_X0))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),top) ),[0,1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1752,plain,
( join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) != top
| join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(skolemFOFtoCNF_X0))) = top ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)) )],[refute_0_1750,refute_0_1751]) ).
cnf(refute_0_1753,plain,
join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(skolemFOFtoCNF_X0))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(join(converse(skolemFOFtoCNF_X0),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),top) )],[refute_0_1677,refute_0_1752]) ).
cnf(refute_0_1754,plain,
join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) = join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_1755,plain,
( converse(converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) != join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))
| join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1756,plain,
( converse(converse(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_1754,refute_0_1755]) ).
cnf(refute_0_1757,plain,
join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(converse(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_1421,refute_0_1756]) ).
cnf(refute_0_1758,plain,
join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(skolemFOFtoCNF_X0))) = join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(converse(converse(skolemFOFtoCNF_X0)))),bind(X1,$fot(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_1759,plain,
( join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(skolemFOFtoCNF_X0))) != join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))
| join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_1760,plain,
( join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(skolemFOFtoCNF_X0))),join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_1758,refute_0_1759]) ).
cnf(refute_0_1761,plain,
join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(converse(converse(skolemFOFtoCNF_X0)),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_1757,refute_0_1760]) ).
cnf(refute_0_1762,plain,
( join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(skolemFOFtoCNF_X0))) != top
| join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(skolemFOFtoCNF_X0))),top) ),[0],$fot(join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_1763,plain,
( join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(skolemFOFtoCNF_X0))) != top
| join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_1761,refute_0_1762]) ).
cnf(refute_0_1764,plain,
join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(skolemFOFtoCNF_X0))),top) )],[refute_0_1753,refute_0_1763]) ).
cnf(refute_0_1765,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) != top
| complement(skolemFOFtoCNF_X0) = join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_1766,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),top) )],[refute_0_1764,refute_0_1765]) ).
cnf(refute_0_1767,plain,
complement(skolemFOFtoCNF_X0) = join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X0,complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_1636,refute_0_1766]) ).
cnf(refute_0_1768,plain,
join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) = meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_373:[bind(X_93,$fot(meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_1769,plain,
meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_926:[bind(X_29,$fot(complement(skolemFOFtoCNF_X0))),bind(X_30,$fot(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_1770,plain,
join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1771,plain,
( join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) != join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)))
| meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))
| join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))),join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_1772,plain,
( meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))
| join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))),join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_1770,refute_0_1771]) ).
cnf(refute_0_1773,plain,
join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_1769,refute_0_1772]) ).
cnf(refute_0_1774,plain,
join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) = join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1775,plain,
( complement(top) != zero
| join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) != join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))),join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1776,plain,
( complement(top) != zero
| join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))),join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_1774,refute_0_1775]) ).
cnf(refute_0_1777,plain,
join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_1776]) ).
cnf(refute_0_1778,plain,
( join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) != join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)))
| join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) != join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_1779,plain,
( join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) != join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))),join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_1777,refute_0_1778]) ).
cnf(refute_0_1780,plain,
join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))),join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_1773,refute_0_1779]) ).
cnf(refute_0_1781,plain,
( join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) != join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))
| join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) != meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_1782,plain,
( join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) != meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))),join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_1780,refute_0_1781]) ).
cnf(refute_0_1783,plain,
join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_1768,refute_0_1782]) ).
cnf(refute_0_1784,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))
| complement(skolemFOFtoCNF_X0) = meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) ),[0],$fot(join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1785,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_1783,refute_0_1784]) ).
cnf(refute_0_1786,plain,
complement(skolemFOFtoCNF_X0) = meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(top),meet(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_1767,refute_0_1785]) ).
cnf(refute_0_1787,plain,
( complement(skolemFOFtoCNF_X0) != meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))
| meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_1788,plain,
meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_1786,refute_0_1787]) ).
cnf(refute_0_1789,plain,
( complement(skolemFOFtoCNF_X0) != join(meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))
| meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) != complement(skolemFOFtoCNF_X0)
| complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1790,plain,
( complement(skolemFOFtoCNF_X0) != join(meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) )],[refute_0_1788,refute_0_1789]) ).
cnf(refute_0_1791,plain,
complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_1620,refute_0_1790]) ).
cnf(refute_0_1792,plain,
complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) = converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_352:[bind(X_93,$fot(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1793,plain,
meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) = meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_1794,plain,
( complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) != converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) != meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))
| meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) = meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,1],$fot(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_1795,plain,
( complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) != converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) = meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_1793,refute_0_1794]) ).
cnf(refute_0_1796,plain,
meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) = meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_1792,refute_0_1795]) ).
cnf(refute_0_1797,plain,
meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_926:[bind(X_29,$fot(complement(skolemFOFtoCNF_X0))),bind(X_30,$fot(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_1798,plain,
( meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))
| meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) != meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_1799,plain,
( meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) != meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_1797,refute_0_1798]) ).
cnf(refute_0_1800,plain,
meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1796,refute_0_1799]) ).
cnf(refute_0_1801,plain,
join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) = join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1802,plain,
( join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) != join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) = join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_1803,plain,
( meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) = join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_1801,refute_0_1802]) ).
cnf(refute_0_1804,plain,
join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) = join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_1800,refute_0_1803]) ).
cnf(refute_0_1805,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))
| join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) != join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))
| complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_1806,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_1804,refute_0_1805]) ).
cnf(refute_0_1807,plain,
complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),meet(complement(complement(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_1791,refute_0_1806]) ).
cnf(refute_0_1808,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_1809,plain,
join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_1807,refute_0_1808]) ).
cnf(refute_0_1810,plain,
( join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) != join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0))
| join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) != complement(skolemFOFtoCNF_X0)
| join(X0,complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0))) ),[0,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1811,plain,
( join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))) != join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0))
| join(X0,complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) )],[refute_0_1809,refute_0_1810]) ).
cnf(refute_0_1812,plain,
join(X0,complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0))) )],[refute_0_1601,refute_0_1811]) ).
cnf(refute_0_1813,plain,
join(zero,X0) = X0,
inference(subst,[],[refute_0_373:[bind(X_93,$fot(X0))]]) ).
cnf(refute_0_1814,plain,
meet(X_29,zero) = meet(zero,X_29),
inference(subst,[],[refute_0_924:[bind(X_30,$fot(zero))]]) ).
cnf(refute_0_1815,plain,
zero = join(meet(zero,X1),complement(join(complement(zero),X1))),
inference(subst,[],[refute_0_88:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_1816,plain,
( complement(zero) != top
| zero != join(meet(zero,X1),complement(join(complement(zero),X1)))
| zero = join(meet(zero,X1),complement(join(top,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(complement(zero),X1)))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_1817,plain,
( zero != join(meet(zero,X1),complement(join(complement(zero),X1)))
| zero = join(meet(zero,X1),complement(join(top,X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1134,refute_0_1816]) ).
cnf(refute_0_1818,plain,
zero = join(meet(zero,X1),complement(join(top,X1))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(complement(zero),X1)))) )],[refute_0_1815,refute_0_1817]) ).
cnf(refute_0_1819,plain,
join(meet(zero,X1),zero) = meet(zero,X1),
inference(subst,[],[refute_0_960:[bind(X1,$fot(meet(zero,X1)))]]) ).
cnf(refute_0_1820,plain,
join(top,X1) = top,
inference(subst,[],[refute_0_566:[bind(X_39,$fot(X1))]]) ).
cnf(refute_0_1821,plain,
complement(join(top,X1)) = complement(join(top,X1)),
introduced(tautology,[refl,[$fot(complement(join(top,X1)))]]) ).
cnf(refute_0_1822,plain,
( complement(join(top,X1)) != complement(join(top,X1))
| join(top,X1) != top
| complement(join(top,X1)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,X1)),complement(join(top,X1))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1823,plain,
( join(top,X1) != top
| complement(join(top,X1)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),complement(join(top,X1))) )],[refute_0_1821,refute_0_1822]) ).
cnf(refute_0_1824,plain,
complement(join(top,X1)) = complement(top),
inference(resolve,[$cnf( $equal(join(top,X1),top) )],[refute_0_1820,refute_0_1823]) ).
cnf(refute_0_1825,plain,
( complement(join(top,X1)) != complement(top)
| complement(top) != zero
| complement(join(top,X1)) = zero ),
inference(subst,[],[refute_0_56:[bind(X,$fot(complement(join(top,X1)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1826,plain,
( complement(top) != zero
| complement(join(top,X1)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),complement(top)) )],[refute_0_1824,refute_0_1825]) ).
cnf(refute_0_1827,plain,
complement(join(top,X1)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_1826]) ).
cnf(refute_0_1828,plain,
join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),complement(join(top,X1))),
introduced(tautology,[refl,[$fot(join(meet(zero,X1),complement(join(top,X1))))]]) ).
cnf(refute_0_1829,plain,
( complement(join(top,X1)) != zero
| join(meet(zero,X1),complement(join(top,X1))) != join(meet(zero,X1),complement(join(top,X1)))
| join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),complement(join(top,X1)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1830,plain,
( complement(join(top,X1)) != zero
| join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),zero) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),complement(join(top,X1)))) )],[refute_0_1828,refute_0_1829]) ).
cnf(refute_0_1831,plain,
join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),zero),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),zero) )],[refute_0_1827,refute_0_1830]) ).
cnf(refute_0_1832,plain,
( join(meet(zero,X1),complement(join(top,X1))) != join(meet(zero,X1),zero)
| join(meet(zero,X1),zero) != meet(zero,X1)
| join(meet(zero,X1),complement(join(top,X1))) = meet(zero,X1) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(meet(zero,X1),complement(join(top,X1))))),bind(Y,$fot(join(meet(zero,X1),zero))),bind(Z,$fot(meet(zero,X1)))]]) ).
cnf(refute_0_1833,plain,
( join(meet(zero,X1),zero) != meet(zero,X1)
| join(meet(zero,X1),complement(join(top,X1))) = meet(zero,X1) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),zero)) )],[refute_0_1831,refute_0_1832]) ).
cnf(refute_0_1834,plain,
join(meet(zero,X1),complement(join(top,X1))) = meet(zero,X1),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),zero),meet(zero,X1)) )],[refute_0_1819,refute_0_1833]) ).
cnf(refute_0_1835,plain,
( join(meet(zero,X1),complement(join(top,X1))) != meet(zero,X1)
| zero != join(meet(zero,X1),complement(join(top,X1)))
| zero = meet(zero,X1) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(top,X1)))) ),[1],$fot(meet(zero,X1))]]) ).
cnf(refute_0_1836,plain,
( zero != join(meet(zero,X1),complement(join(top,X1)))
| zero = meet(zero,X1) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),meet(zero,X1)) )],[refute_0_1834,refute_0_1835]) ).
cnf(refute_0_1837,plain,
zero = meet(zero,X1),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(top,X1)))) )],[refute_0_1818,refute_0_1836]) ).
cnf(refute_0_1838,plain,
zero = meet(zero,X_29),
inference(subst,[],[refute_0_1837:[bind(X1,$fot(X_29))]]) ).
cnf(refute_0_1839,plain,
( zero != meet(zero,X_29)
| meet(zero,X_29) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,X_29)))]]) ).
cnf(refute_0_1840,plain,
meet(zero,X_29) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,X_29)) )],[refute_0_1838,refute_0_1839]) ).
cnf(refute_0_1841,plain,
( meet(X_29,zero) != meet(zero,X_29)
| meet(zero,X_29) != zero
| meet(X_29,zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_29,zero),zero) ),[0],$fot(meet(zero,X_29))]]) ).
cnf(refute_0_1842,plain,
( meet(X_29,zero) != meet(zero,X_29)
| meet(X_29,zero) = zero ),
inference(resolve,[$cnf( $equal(meet(zero,X_29),zero) )],[refute_0_1840,refute_0_1841]) ).
cnf(refute_0_1843,plain,
meet(X_29,zero) = zero,
inference(resolve,[$cnf( $equal(meet(X_29,zero),meet(zero,X_29)) )],[refute_0_1814,refute_0_1842]) ).
cnf(refute_0_1844,plain,
meet(complement(skolemFOFtoCNF_X0),zero) = zero,
inference(subst,[],[refute_0_1843:[bind(X_29,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1845,plain,
zero = meet(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_0_33:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_1846,plain,
( complement(converse(zero)) != top
| zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1847,plain,
( zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_900,refute_0_1846]) ).
cnf(refute_0_1848,plain,
zero = meet(converse(zero),top),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) )],[refute_0_1845,refute_0_1847]) ).
cnf(refute_0_1849,plain,
converse(zero) = join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1))),
inference(subst,[],[refute_0_88:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_1850,plain,
( complement(converse(zero)) != top
| converse(zero) != join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1)))
| converse(zero) = join(meet(converse(zero),X1),complement(join(top,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1)))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_1851,plain,
( converse(zero) != join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1)))
| converse(zero) = join(meet(converse(zero),X1),complement(join(top,X1))) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_900,refute_0_1850]) ).
cnf(refute_0_1852,plain,
converse(zero) = join(meet(converse(zero),X1),complement(join(top,X1))),
inference(resolve,[$cnf( $equal(converse(zero),join(meet(converse(zero),X1),complement(join(complement(converse(zero)),X1)))) )],[refute_0_1849,refute_0_1851]) ).
cnf(refute_0_1853,plain,
join(zero,meet(converse(zero),X1)) = meet(converse(zero),X1),
inference(subst,[],[refute_0_373:[bind(X_93,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_0_1854,plain,
join(complement(join(top,X1)),meet(converse(zero),X1)) = join(complement(join(top,X1)),meet(converse(zero),X1)),
introduced(tautology,[refl,[$fot(join(complement(join(top,X1)),meet(converse(zero),X1)))]]) ).
cnf(refute_0_1855,plain,
( complement(join(top,X1)) != zero
| join(complement(join(top,X1)),meet(converse(zero),X1)) != join(complement(join(top,X1)),meet(converse(zero),X1))
| join(complement(join(top,X1)),meet(converse(zero),X1)) = join(zero,meet(converse(zero),X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,X1)),meet(converse(zero),X1)),join(complement(join(top,X1)),meet(converse(zero),X1))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1856,plain,
( complement(join(top,X1)) != zero
| join(complement(join(top,X1)),meet(converse(zero),X1)) = join(zero,meet(converse(zero),X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X1)),meet(converse(zero),X1)),join(complement(join(top,X1)),meet(converse(zero),X1))) )],[refute_0_1854,refute_0_1855]) ).
cnf(refute_0_1857,plain,
join(complement(join(top,X1)),meet(converse(zero),X1)) = join(zero,meet(converse(zero),X1)),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),zero) )],[refute_0_1827,refute_0_1856]) ).
cnf(refute_0_1858,plain,
( join(complement(join(top,X1)),meet(converse(zero),X1)) != join(zero,meet(converse(zero),X1))
| join(zero,meet(converse(zero),X1)) != meet(converse(zero),X1)
| join(complement(join(top,X1)),meet(converse(zero),X1)) = meet(converse(zero),X1) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(join(top,X1)),meet(converse(zero),X1)))),bind(Y,$fot(join(zero,meet(converse(zero),X1)))),bind(Z,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_0_1859,plain,
( join(zero,meet(converse(zero),X1)) != meet(converse(zero),X1)
| join(complement(join(top,X1)),meet(converse(zero),X1)) = meet(converse(zero),X1) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X1)),meet(converse(zero),X1)),join(zero,meet(converse(zero),X1))) )],[refute_0_1857,refute_0_1858]) ).
cnf(refute_0_1860,plain,
join(complement(join(top,X1)),meet(converse(zero),X1)) = meet(converse(zero),X1),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),X1)),meet(converse(zero),X1)) )],[refute_0_1853,refute_0_1859]) ).
cnf(refute_0_1861,plain,
join(meet(converse(zero),X1),complement(join(top,X1))) = join(complement(join(top,X1)),meet(converse(zero),X1)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(top,X1)))),bind(X1,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_0_1862,plain,
( join(complement(join(top,X1)),meet(converse(zero),X1)) != meet(converse(zero),X1)
| join(meet(converse(zero),X1),complement(join(top,X1))) != join(complement(join(top,X1)),meet(converse(zero),X1))
| join(meet(converse(zero),X1),complement(join(top,X1))) = meet(converse(zero),X1) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(meet(converse(zero),X1),complement(join(top,X1))))),bind(Y,$fot(join(complement(join(top,X1)),meet(converse(zero),X1)))),bind(Z,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_0_1863,plain,
( join(complement(join(top,X1)),meet(converse(zero),X1)) != meet(converse(zero),X1)
| join(meet(converse(zero),X1),complement(join(top,X1))) = meet(converse(zero),X1) ),
inference(resolve,[$cnf( $equal(join(meet(converse(zero),X1),complement(join(top,X1))),join(complement(join(top,X1)),meet(converse(zero),X1))) )],[refute_0_1861,refute_0_1862]) ).
cnf(refute_0_1864,plain,
join(meet(converse(zero),X1),complement(join(top,X1))) = meet(converse(zero),X1),
inference(resolve,[$cnf( $equal(join(complement(join(top,X1)),meet(converse(zero),X1)),meet(converse(zero),X1)) )],[refute_0_1860,refute_0_1863]) ).
cnf(refute_0_1865,plain,
( converse(zero) != join(meet(converse(zero),X1),complement(join(top,X1)))
| join(meet(converse(zero),X1),complement(join(top,X1))) != meet(converse(zero),X1)
| converse(zero) = meet(converse(zero),X1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(zero),meet(converse(zero),X1)) ),[0],$fot(join(meet(converse(zero),X1),complement(join(top,X1))))]]) ).
cnf(refute_0_1866,plain,
( converse(zero) != join(meet(converse(zero),X1),complement(join(top,X1)))
| converse(zero) = meet(converse(zero),X1) ),
inference(resolve,[$cnf( $equal(join(meet(converse(zero),X1),complement(join(top,X1))),meet(converse(zero),X1)) )],[refute_0_1864,refute_0_1865]) ).
cnf(refute_0_1867,plain,
converse(zero) = meet(converse(zero),X1),
inference(resolve,[$cnf( $equal(converse(zero),join(meet(converse(zero),X1),complement(join(top,X1)))) )],[refute_0_1852,refute_0_1866]) ).
cnf(refute_0_1868,plain,
( converse(zero) != meet(converse(zero),X1)
| meet(converse(zero),X1) = converse(zero) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(zero))),bind(Y,$fot(meet(converse(zero),X1)))]]) ).
cnf(refute_0_1869,plain,
meet(converse(zero),X1) = converse(zero),
inference(resolve,[$cnf( $equal(converse(zero),meet(converse(zero),X1)) )],[refute_0_1867,refute_0_1868]) ).
cnf(refute_0_1870,plain,
meet(converse(zero),top) = converse(zero),
inference(subst,[],[refute_0_1869:[bind(X1,$fot(top))]]) ).
cnf(refute_0_1871,plain,
( meet(converse(zero),top) != converse(zero)
| zero != meet(converse(zero),top)
| zero = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),top)) ),[1],$fot(converse(zero))]]) ).
cnf(refute_0_1872,plain,
( zero != meet(converse(zero),top)
| zero = converse(zero) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),top),converse(zero)) )],[refute_0_1870,refute_0_1871]) ).
cnf(refute_0_1873,plain,
zero = converse(zero),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),top)) )],[refute_0_1848,refute_0_1872]) ).
cnf(refute_0_1874,plain,
( zero != converse(zero)
| converse(zero) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(converse(zero)))]]) ).
cnf(refute_0_1875,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(zero,converse(zero)) )],[refute_0_1873,refute_0_1874]) ).
cnf(refute_0_1876,plain,
meet(converse(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) = zero,
inference(subst,[],[refute_0_171:[bind(X0,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1877,plain,
join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(composition(skolemFOFtoCNF_X0,converse(join(one,X_413))))))) = complement(converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_30:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(join(one,X_413))))]]) ).
cnf(refute_0_1878,plain,
composition(skolemFOFtoCNF_X0,composition(top,X_26)) = composition(composition(skolemFOFtoCNF_X0,top),X_26),
inference(subst,[],[refute_0_379:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(top)),bind(X2,$fot(X_26))]]) ).
cnf(refute_0_1879,plain,
( composition(skolemFOFtoCNF_X0,composition(top,X_26)) != composition(composition(skolemFOFtoCNF_X0,top),X_26)
| composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
| composition(skolemFOFtoCNF_X0,composition(top,X_26)) = composition(skolemFOFtoCNF_X0,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(top,X_26)),composition(composition(skolemFOFtoCNF_X0,top),X_26)) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1880,plain,
( composition(skolemFOFtoCNF_X0,composition(top,X_26)) != composition(composition(skolemFOFtoCNF_X0,top),X_26)
| composition(skolemFOFtoCNF_X0,composition(top,X_26)) = composition(skolemFOFtoCNF_X0,X_26) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),skolemFOFtoCNF_X0) )],[refute_0_1284,refute_0_1879]) ).
cnf(refute_0_1881,plain,
composition(skolemFOFtoCNF_X0,composition(top,X_26)) = composition(skolemFOFtoCNF_X0,X_26),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(top,X_26)),composition(composition(skolemFOFtoCNF_X0,top),X_26)) )],[refute_0_1878,refute_0_1880]) ).
cnf(refute_0_1882,plain,
composition(skolemFOFtoCNF_X0,composition(top,converse(X_123))) = composition(skolemFOFtoCNF_X0,converse(X_123)),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(converse(X_123)))]]) ).
cnf(refute_0_1883,plain,
converse(composition(X_123,top)) = composition(top,converse(X_123)),
inference(subst,[],[refute_0_1726:[bind(X_6,$fot(X_123))]]) ).
cnf(refute_0_1884,plain,
( converse(composition(X_123,top)) != composition(top,converse(X_123))
| composition(top,converse(X_123)) = converse(composition(X_123,top)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X_123,top)))),bind(Y,$fot(composition(top,converse(X_123))))]]) ).
cnf(refute_0_1885,plain,
composition(top,converse(X_123)) = converse(composition(X_123,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_123,top)),composition(top,converse(X_123))) )],[refute_0_1883,refute_0_1884]) ).
cnf(refute_0_1886,plain,
( composition(skolemFOFtoCNF_X0,composition(top,converse(X_123))) != composition(skolemFOFtoCNF_X0,converse(X_123))
| composition(top,converse(X_123)) != converse(composition(X_123,top))
| composition(skolemFOFtoCNF_X0,converse(composition(X_123,top))) = composition(skolemFOFtoCNF_X0,converse(X_123)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(top,converse(X_123))),composition(skolemFOFtoCNF_X0,converse(X_123))) ),[0,1],$fot(converse(composition(X_123,top)))]]) ).
cnf(refute_0_1887,plain,
( composition(skolemFOFtoCNF_X0,composition(top,converse(X_123))) != composition(skolemFOFtoCNF_X0,converse(X_123))
| composition(skolemFOFtoCNF_X0,converse(composition(X_123,top))) = composition(skolemFOFtoCNF_X0,converse(X_123)) ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_123)),converse(composition(X_123,top))) )],[refute_0_1885,refute_0_1886]) ).
cnf(refute_0_1888,plain,
composition(skolemFOFtoCNF_X0,converse(composition(X_123,top))) = composition(skolemFOFtoCNF_X0,converse(X_123)),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,composition(top,converse(X_123))),composition(skolemFOFtoCNF_X0,converse(X_123))) )],[refute_0_1882,refute_0_1887]) ).
cnf(refute_0_1889,plain,
composition(skolemFOFtoCNF_X0,converse(composition(join(one,X_5),top))) = composition(skolemFOFtoCNF_X0,converse(join(one,X_5))),
inference(subst,[],[refute_0_1888:[bind(X_123,$fot(join(one,X_5)))]]) ).
cnf(refute_0_1890,plain,
join(complement(zero),composition(converse(X0),complement(composition(X0,zero)))) = complement(zero),
inference(subst,[],[refute_0_10:[bind(X1,$fot(zero))]]) ).
cnf(refute_0_1891,plain,
composition(join(top,X1),zero) = join(composition(top,zero),composition(X1,zero)),
inference(subst,[],[refute_0_387:[bind(X0,$fot(top)),bind(X2,$fot(zero))]]) ).
cnf(refute_0_1892,plain,
join(complement(top),composition(converse(top),complement(composition(top,top)))) = complement(top),
inference(subst,[],[refute_0_10:[bind(X0,$fot(top)),bind(X1,$fot(top))]]) ).
cnf(refute_0_1893,plain,
( composition(top,top) != top
| join(complement(top),composition(converse(top),complement(composition(top,top)))) != complement(top)
| join(complement(top),composition(converse(top),complement(top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(top),complement(composition(top,top)))),complement(top)) ),[0,1,1,0],$fot(top)]]) ).
cnf(refute_0_1894,plain,
( join(complement(top),composition(converse(top),complement(composition(top,top)))) != complement(top)
| join(complement(top),composition(converse(top),complement(top))) = complement(top) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_995,refute_0_1893]) ).
cnf(refute_0_1895,plain,
join(complement(top),composition(converse(top),complement(top))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(top),complement(composition(top,top)))),complement(top)) )],[refute_0_1892,refute_0_1894]) ).
cnf(refute_0_1896,plain,
composition(top,complement(top)) = composition(top,complement(top)),
introduced(tautology,[refl,[$fot(composition(top,complement(top)))]]) ).
cnf(refute_0_1897,plain,
( complement(top) != zero
| composition(top,complement(top)) != composition(top,complement(top))
| composition(top,complement(top)) = composition(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(top)),composition(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1898,plain,
( complement(top) != zero
| composition(top,complement(top)) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(top,complement(top)),composition(top,complement(top))) )],[refute_0_1896,refute_0_1897]) ).
cnf(refute_0_1899,plain,
composition(top,complement(top)) = composition(top,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_1898]) ).
cnf(refute_0_1900,plain,
join(one,top) = top,
inference(subst,[],[refute_0_270:[bind(X_43,$fot(one))]]) ).
cnf(refute_0_1901,plain,
converse(join(one,top)) = converse(join(one,top)),
introduced(tautology,[refl,[$fot(converse(join(one,top)))]]) ).
cnf(refute_0_1902,plain,
( converse(join(one,top)) != converse(join(one,top))
| join(one,top) != top
| converse(join(one,top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1903,plain,
( join(one,top) != top
| converse(join(one,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) )],[refute_0_1901,refute_0_1902]) ).
cnf(refute_0_1904,plain,
converse(join(one,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1900,refute_0_1903]) ).
cnf(refute_0_1905,plain,
( converse(join(one,top)) != converse(top)
| converse(top) != top
| converse(join(one,top)) = top ),
inference(subst,[],[refute_0_56:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1906,plain,
( converse(top) != top
| converse(join(one,top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(top)) )],[refute_0_1904,refute_0_1905]) ).
cnf(refute_0_1907,plain,
converse(join(one,top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_851,refute_0_1906]) ).
cnf(refute_0_1908,plain,
converse(join(converse(one),X_5)) = join(one,converse(X_5)),
inference(subst,[],[refute_0_655:[bind(X0,$fot(one))]]) ).
cnf(refute_0_1909,plain,
( converse(join(converse(one),X_5)) != join(one,converse(X_5))
| converse(one) != one
| converse(join(one,X_5)) = join(one,converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(one),X_5)),join(one,converse(X_5))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_1910,plain,
( converse(join(converse(one),X_5)) != join(one,converse(X_5))
| converse(join(one,X_5)) = join(one,converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_131,refute_0_1909]) ).
cnf(refute_0_1911,plain,
converse(join(one,X_5)) = join(one,converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(one),X_5)),join(one,converse(X_5))) )],[refute_0_1908,refute_0_1910]) ).
cnf(refute_0_1912,plain,
( converse(join(one,X_5)) != join(one,converse(X_5))
| join(one,converse(X_5)) = converse(join(one,X_5)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(one,X_5)))),bind(Y,$fot(join(one,converse(X_5))))]]) ).
cnf(refute_0_1913,plain,
join(one,converse(X_5)) = converse(join(one,X_5)),
inference(resolve,[$cnf( $equal(converse(join(one,X_5)),join(one,converse(X_5))) )],[refute_0_1911,refute_0_1912]) ).
cnf(refute_0_1914,plain,
join(one,converse(top)) = converse(join(one,top)),
inference(subst,[],[refute_0_1913:[bind(X_5,$fot(top))]]) ).
cnf(refute_0_1915,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) != converse(join(one,top))
| join(one,converse(top)) = top ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(converse(join(one,top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1916,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_1914,refute_0_1915]) ).
cnf(refute_0_1917,plain,
join(one,converse(top)) = top,
inference(resolve,[$cnf( $equal(converse(join(one,top)),top) )],[refute_0_1907,refute_0_1916]) ).
cnf(refute_0_1918,plain,
composition(join(one,converse(top)),complement(top)) = composition(join(one,converse(top)),complement(top)),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(top)))]]) ).
cnf(refute_0_1919,plain,
( composition(join(one,converse(top)),complement(top)) != composition(join(one,converse(top)),complement(top))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(top)) = composition(top,complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(top)),composition(join(one,converse(top)),complement(top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1920,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(top)) = composition(top,complement(top)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(top)),composition(join(one,converse(top)),complement(top))) )],[refute_0_1918,refute_0_1919]) ).
cnf(refute_0_1921,plain,
composition(join(one,converse(top)),complement(top)) = composition(top,complement(top)),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_1917,refute_0_1920]) ).
cnf(refute_0_1922,plain,
( composition(join(one,converse(top)),complement(top)) != composition(top,complement(top))
| composition(top,complement(top)) != composition(top,zero)
| composition(join(one,converse(top)),complement(top)) = composition(top,zero) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(join(one,converse(top)),complement(top)))),bind(Y,$fot(composition(top,complement(top)))),bind(Z,$fot(composition(top,zero)))]]) ).
cnf(refute_0_1923,plain,
( composition(top,complement(top)) != composition(top,zero)
| composition(join(one,converse(top)),complement(top)) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(top)),composition(top,complement(top))) )],[refute_0_1921,refute_0_1922]) ).
cnf(refute_0_1924,plain,
composition(join(one,converse(top)),complement(top)) = composition(top,zero),
inference(resolve,[$cnf( $equal(composition(top,complement(top)),composition(top,zero)) )],[refute_0_1899,refute_0_1923]) ).
cnf(refute_0_1925,plain,
join(composition(X_59,X_60),composition(X_58,X_60)) = join(composition(X_58,X_60),composition(X_59,X_60)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(composition(X_59,X_60))),bind(X1,$fot(composition(X_58,X_60)))]]) ).
cnf(refute_0_1926,plain,
composition(join(X_58,X_59),X_60) = join(composition(X_58,X_60),composition(X_59,X_60)),
inference(subst,[],[refute_0_387:[bind(X0,$fot(X_58)),bind(X1,$fot(X_59)),bind(X2,$fot(X_60))]]) ).
cnf(refute_0_1927,plain,
( composition(join(X_58,X_59),X_60) != join(composition(X_58,X_60),composition(X_59,X_60))
| join(composition(X_58,X_60),composition(X_59,X_60)) = composition(join(X_58,X_59),X_60) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_58,X_59),X_60))),bind(Y,$fot(join(composition(X_58,X_60),composition(X_59,X_60))))]]) ).
cnf(refute_0_1928,plain,
join(composition(X_58,X_60),composition(X_59,X_60)) = composition(join(X_58,X_59),X_60),
inference(resolve,[$cnf( $equal(composition(join(X_58,X_59),X_60),join(composition(X_58,X_60),composition(X_59,X_60))) )],[refute_0_1926,refute_0_1927]) ).
cnf(refute_0_1929,plain,
( join(composition(X_58,X_60),composition(X_59,X_60)) != composition(join(X_58,X_59),X_60)
| join(composition(X_59,X_60),composition(X_58,X_60)) != join(composition(X_58,X_60),composition(X_59,X_60))
| join(composition(X_59,X_60),composition(X_58,X_60)) = composition(join(X_58,X_59),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_59,X_60),composition(X_58,X_60)),join(composition(X_58,X_60),composition(X_59,X_60))) ),[1],$fot(composition(join(X_58,X_59),X_60))]]) ).
cnf(refute_0_1930,plain,
( join(composition(X_59,X_60),composition(X_58,X_60)) != join(composition(X_58,X_60),composition(X_59,X_60))
| join(composition(X_59,X_60),composition(X_58,X_60)) = composition(join(X_58,X_59),X_60) ),
inference(resolve,[$cnf( $equal(join(composition(X_58,X_60),composition(X_59,X_60)),composition(join(X_58,X_59),X_60)) )],[refute_0_1928,refute_0_1929]) ).
cnf(refute_0_1931,plain,
join(composition(X_59,X_60),composition(X_58,X_60)) = composition(join(X_58,X_59),X_60),
inference(resolve,[$cnf( $equal(join(composition(X_59,X_60),composition(X_58,X_60)),join(composition(X_58,X_60),composition(X_59,X_60))) )],[refute_0_1925,refute_0_1930]) ).
cnf(refute_0_1932,plain,
( composition(join(X0,X1),X2) != join(composition(X0,X2),composition(X1,X2))
| join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X0,X1),X2))),bind(Y,$fot(join(composition(X0,X2),composition(X1,X2))))]]) ).
cnf(refute_0_1933,plain,
join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),X2),join(composition(X0,X2),composition(X1,X2))) )],[refute_0_387,refute_0_1932]) ).
cnf(refute_0_1934,plain,
join(composition(X_59,X_60),composition(X_58,X_60)) = composition(join(X_59,X_58),X_60),
inference(subst,[],[refute_0_1933:[bind(X0,$fot(X_59)),bind(X1,$fot(X_58)),bind(X2,$fot(X_60))]]) ).
cnf(refute_0_1935,plain,
( join(composition(X_59,X_60),composition(X_58,X_60)) != composition(join(X_58,X_59),X_60)
| join(composition(X_59,X_60),composition(X_58,X_60)) != composition(join(X_59,X_58),X_60)
| composition(join(X_59,X_58),X_60) = composition(join(X_58,X_59),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_59,X_60),composition(X_58,X_60)),composition(join(X_58,X_59),X_60)) ),[0],$fot(composition(join(X_59,X_58),X_60))]]) ).
cnf(refute_0_1936,plain,
( join(composition(X_59,X_60),composition(X_58,X_60)) != composition(join(X_58,X_59),X_60)
| composition(join(X_59,X_58),X_60) = composition(join(X_58,X_59),X_60) ),
inference(resolve,[$cnf( $equal(join(composition(X_59,X_60),composition(X_58,X_60)),composition(join(X_59,X_58),X_60)) )],[refute_0_1934,refute_0_1935]) ).
cnf(refute_0_1937,plain,
composition(join(X_59,X_58),X_60) = composition(join(X_58,X_59),X_60),
inference(resolve,[$cnf( $equal(join(composition(X_59,X_60),composition(X_58,X_60)),composition(join(X_58,X_59),X_60)) )],[refute_0_1931,refute_0_1936]) ).
cnf(refute_0_1938,plain,
( composition(join(X_59,X_58),X_60) != composition(join(X_58,X_59),X_60)
| composition(join(X_58,X_59),X_60) = composition(join(X_59,X_58),X_60) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_59,X_58),X_60))),bind(Y,$fot(composition(join(X_58,X_59),X_60)))]]) ).
cnf(refute_0_1939,plain,
composition(join(X_58,X_59),X_60) = composition(join(X_59,X_58),X_60),
inference(resolve,[$cnf( $equal(composition(join(X_59,X_58),X_60),composition(join(X_58,X_59),X_60)) )],[refute_0_1937,refute_0_1938]) ).
cnf(refute_0_1940,plain,
composition(join(converse(top),one),complement(top)) = composition(join(one,converse(top)),complement(top)),
inference(subst,[],[refute_0_1939:[bind(X_58,$fot(converse(top))),bind(X_59,$fot(one)),bind(X_60,$fot(complement(top)))]]) ).
cnf(refute_0_1941,plain,
composition(join(X_58,one),X_60) = join(composition(X_58,X_60),composition(one,X_60)),
inference(subst,[],[refute_0_387:[bind(X0,$fot(X_58)),bind(X1,$fot(one)),bind(X2,$fot(X_60))]]) ).
cnf(refute_0_1942,plain,
X_60 = composition(one,X_60),
inference(subst,[],[refute_0_141:[bind(X_13,$fot(X_60))]]) ).
cnf(refute_0_1943,plain,
( X_60 != composition(one,X_60)
| composition(one,X_60) = X_60 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_60)),bind(Y,$fot(composition(one,X_60)))]]) ).
cnf(refute_0_1944,plain,
composition(one,X_60) = X_60,
inference(resolve,[$cnf( $equal(X_60,composition(one,X_60)) )],[refute_0_1942,refute_0_1943]) ).
cnf(refute_0_1945,plain,
( composition(join(X_58,one),X_60) != join(composition(X_58,X_60),composition(one,X_60))
| composition(one,X_60) != X_60
| composition(join(X_58,one),X_60) = join(composition(X_58,X_60),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_58,one),X_60),join(composition(X_58,X_60),composition(one,X_60))) ),[1,1],$fot(X_60)]]) ).
cnf(refute_0_1946,plain,
( composition(join(X_58,one),X_60) != join(composition(X_58,X_60),composition(one,X_60))
| composition(join(X_58,one),X_60) = join(composition(X_58,X_60),X_60) ),
inference(resolve,[$cnf( $equal(composition(one,X_60),X_60) )],[refute_0_1944,refute_0_1945]) ).
cnf(refute_0_1947,plain,
composition(join(X_58,one),X_60) = join(composition(X_58,X_60),X_60),
inference(resolve,[$cnf( $equal(composition(join(X_58,one),X_60),join(composition(X_58,X_60),composition(one,X_60))) )],[refute_0_1941,refute_0_1946]) ).
cnf(refute_0_1948,plain,
join(composition(X_58,X_60),X_60) = join(X_60,composition(X_58,X_60)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(X_60)),bind(X1,$fot(composition(X_58,X_60)))]]) ).
cnf(refute_0_1949,plain,
( composition(join(X_58,one),X_60) != join(composition(X_58,X_60),X_60)
| join(composition(X_58,X_60),X_60) != join(X_60,composition(X_58,X_60))
| composition(join(X_58,one),X_60) = join(X_60,composition(X_58,X_60)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_58,one),X_60),join(X_60,composition(X_58,X_60))) ),[0],$fot(join(composition(X_58,X_60),X_60))]]) ).
cnf(refute_0_1950,plain,
( composition(join(X_58,one),X_60) != join(composition(X_58,X_60),X_60)
| composition(join(X_58,one),X_60) = join(X_60,composition(X_58,X_60)) ),
inference(resolve,[$cnf( $equal(join(composition(X_58,X_60),X_60),join(X_60,composition(X_58,X_60))) )],[refute_0_1948,refute_0_1949]) ).
cnf(refute_0_1951,plain,
composition(join(X_58,one),X_60) = join(X_60,composition(X_58,X_60)),
inference(resolve,[$cnf( $equal(composition(join(X_58,one),X_60),join(composition(X_58,X_60),X_60)) )],[refute_0_1947,refute_0_1950]) ).
cnf(refute_0_1952,plain,
( composition(join(X_58,one),X_60) != join(X_60,composition(X_58,X_60))
| join(X_60,composition(X_58,X_60)) = composition(join(X_58,one),X_60) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_58,one),X_60))),bind(Y,$fot(join(X_60,composition(X_58,X_60))))]]) ).
cnf(refute_0_1953,plain,
join(X_60,composition(X_58,X_60)) = composition(join(X_58,one),X_60),
inference(resolve,[$cnf( $equal(composition(join(X_58,one),X_60),join(X_60,composition(X_58,X_60))) )],[refute_0_1951,refute_0_1952]) ).
cnf(refute_0_1954,plain,
join(complement(top),composition(converse(top),complement(top))) = composition(join(converse(top),one),complement(top)),
inference(subst,[],[refute_0_1953:[bind(X_58,$fot(converse(top))),bind(X_60,$fot(complement(top)))]]) ).
cnf(refute_0_1955,plain,
( composition(join(converse(top),one),complement(top)) != composition(join(one,converse(top)),complement(top))
| join(complement(top),composition(converse(top),complement(top))) != composition(join(converse(top),one),complement(top))
| join(complement(top),composition(converse(top),complement(top))) = composition(join(one,converse(top)),complement(top)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(top),composition(converse(top),complement(top))))),bind(Y,$fot(composition(join(converse(top),one),complement(top)))),bind(Z,$fot(composition(join(one,converse(top)),complement(top))))]]) ).
cnf(refute_0_1956,plain,
( composition(join(converse(top),one),complement(top)) != composition(join(one,converse(top)),complement(top))
| join(complement(top),composition(converse(top),complement(top))) = composition(join(one,converse(top)),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(top),complement(top))),composition(join(converse(top),one),complement(top))) )],[refute_0_1954,refute_0_1955]) ).
cnf(refute_0_1957,plain,
join(complement(top),composition(converse(top),complement(top))) = composition(join(one,converse(top)),complement(top)),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(top)),composition(join(one,converse(top)),complement(top))) )],[refute_0_1940,refute_0_1956]) ).
cnf(refute_0_1958,plain,
( composition(join(one,converse(top)),complement(top)) != composition(top,zero)
| join(complement(top),composition(converse(top),complement(top))) != composition(join(one,converse(top)),complement(top))
| join(complement(top),composition(converse(top),complement(top))) = composition(top,zero) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(top),composition(converse(top),complement(top))))),bind(Y,$fot(composition(join(one,converse(top)),complement(top)))),bind(Z,$fot(composition(top,zero)))]]) ).
cnf(refute_0_1959,plain,
( composition(join(one,converse(top)),complement(top)) != composition(top,zero)
| join(complement(top),composition(converse(top),complement(top))) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(top),complement(top))),composition(join(one,converse(top)),complement(top))) )],[refute_0_1957,refute_0_1958]) ).
cnf(refute_0_1960,plain,
join(complement(top),composition(converse(top),complement(top))) = composition(top,zero),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(top)),composition(top,zero)) )],[refute_0_1924,refute_0_1959]) ).
cnf(refute_0_1961,plain,
( join(complement(top),composition(converse(top),complement(top))) != complement(top)
| join(complement(top),composition(converse(top),complement(top))) != composition(top,zero)
| composition(top,zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(top),complement(top))),complement(top)) ),[0],$fot(composition(top,zero))]]) ).
cnf(refute_0_1962,plain,
( join(complement(top),composition(converse(top),complement(top))) != complement(top)
| composition(top,zero) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(top),complement(top))),composition(top,zero)) )],[refute_0_1960,refute_0_1961]) ).
cnf(refute_0_1963,plain,
( complement(top) != zero
| composition(top,zero) != complement(top)
| composition(top,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,zero),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1964,plain,
( composition(top,zero) != complement(top)
| composition(top,zero) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_64,refute_0_1963]) ).
cnf(refute_0_1965,plain,
( join(complement(top),composition(converse(top),complement(top))) != complement(top)
| composition(top,zero) = zero ),
inference(resolve,[$cnf( $equal(composition(top,zero),complement(top)) )],[refute_0_1962,refute_0_1964]) ).
cnf(refute_0_1966,plain,
composition(top,zero) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(top),complement(top))),complement(top)) )],[refute_0_1895,refute_0_1965]) ).
cnf(refute_0_1967,plain,
( composition(join(top,X1),zero) != join(composition(top,zero),composition(X1,zero))
| composition(top,zero) != zero
| composition(join(top,X1),zero) = join(zero,composition(X1,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),zero),join(composition(top,zero),composition(X1,zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1968,plain,
( composition(join(top,X1),zero) != join(composition(top,zero),composition(X1,zero))
| composition(join(top,X1),zero) = join(zero,composition(X1,zero)) ),
inference(resolve,[$cnf( $equal(composition(top,zero),zero) )],[refute_0_1966,refute_0_1967]) ).
cnf(refute_0_1969,plain,
composition(join(top,X1),zero) = join(zero,composition(X1,zero)),
inference(resolve,[$cnf( $equal(composition(join(top,X1),zero),join(composition(top,zero),composition(X1,zero))) )],[refute_0_1891,refute_0_1968]) ).
cnf(refute_0_1970,plain,
composition(join(top,X1),zero) = composition(join(top,X1),zero),
introduced(tautology,[refl,[$fot(composition(join(top,X1),zero))]]) ).
cnf(refute_0_1971,plain,
( composition(join(top,X1),zero) != composition(join(top,X1),zero)
| join(top,X1) != top
| composition(join(top,X1),zero) = composition(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),zero),composition(join(top,X1),zero)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1972,plain,
( join(top,X1) != top
| composition(join(top,X1),zero) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),zero),composition(join(top,X1),zero)) )],[refute_0_1970,refute_0_1971]) ).
cnf(refute_0_1973,plain,
composition(join(top,X1),zero) = composition(top,zero),
inference(resolve,[$cnf( $equal(join(top,X1),top) )],[refute_0_1820,refute_0_1972]) ).
cnf(refute_0_1974,plain,
( composition(join(top,X1),zero) != composition(top,zero)
| composition(top,zero) != zero
| composition(join(top,X1),zero) = zero ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(join(top,X1),zero))),bind(Y,$fot(composition(top,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1975,plain,
( composition(top,zero) != zero
| composition(join(top,X1),zero) = zero ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),zero),composition(top,zero)) )],[refute_0_1973,refute_0_1974]) ).
cnf(refute_0_1976,plain,
composition(join(top,X1),zero) = zero,
inference(resolve,[$cnf( $equal(composition(top,zero),zero) )],[refute_0_1966,refute_0_1975]) ).
cnf(refute_0_1977,plain,
( composition(join(top,X1),zero) != join(zero,composition(X1,zero))
| composition(join(top,X1),zero) != zero
| zero = join(zero,composition(X1,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),zero),join(zero,composition(X1,zero))) ),[0],$fot(zero)]]) ).
cnf(refute_0_1978,plain,
( composition(join(top,X1),zero) != join(zero,composition(X1,zero))
| zero = join(zero,composition(X1,zero)) ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),zero),zero) )],[refute_0_1976,refute_0_1977]) ).
cnf(refute_0_1979,plain,
join(zero,composition(X1,zero)) = composition(join(X1,one),zero),
inference(subst,[],[refute_0_1953:[bind(X_58,$fot(X1)),bind(X_60,$fot(zero))]]) ).
cnf(refute_0_1980,plain,
( join(zero,composition(X1,zero)) != composition(join(X1,one),zero)
| zero != join(zero,composition(X1,zero))
| zero = composition(join(X1,one),zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,composition(X1,zero))) ),[1],$fot(composition(join(X1,one),zero))]]) ).
cnf(refute_0_1981,plain,
( zero != join(zero,composition(X1,zero))
| zero = composition(join(X1,one),zero) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X1,zero)),composition(join(X1,one),zero)) )],[refute_0_1979,refute_0_1980]) ).
cnf(refute_0_1982,plain,
( composition(join(top,X1),zero) != join(zero,composition(X1,zero))
| zero = composition(join(X1,one),zero) ),
inference(resolve,[$cnf( $equal(zero,join(zero,composition(X1,zero))) )],[refute_0_1978,refute_0_1981]) ).
cnf(refute_0_1983,plain,
zero = composition(join(X1,one),zero),
inference(resolve,[$cnf( $equal(composition(join(top,X1),zero),join(zero,composition(X1,zero))) )],[refute_0_1969,refute_0_1982]) ).
cnf(refute_0_1984,plain,
zero = composition(join(join(X0,X1),one),zero),
inference(subst,[],[refute_0_1983:[bind(X1,$fot(join(X0,X1)))]]) ).
cnf(refute_0_1985,plain,
join(X0,join(X1,one)) = join(join(X0,X1),one),
inference(subst,[],[refute_0_242:[bind(X2,$fot(one))]]) ).
cnf(refute_0_1986,plain,
( join(X0,join(X1,one)) != join(join(X0,X1),one)
| join(join(X0,X1),one) = join(X0,join(X1,one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X1,one)))),bind(Y,$fot(join(join(X0,X1),one)))]]) ).
cnf(refute_0_1987,plain,
join(join(X0,X1),one) = join(X0,join(X1,one)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,one)),join(join(X0,X1),one)) )],[refute_0_1985,refute_0_1986]) ).
cnf(refute_0_1988,plain,
( join(join(X0,X1),one) != join(X0,join(X1,one))
| zero != composition(join(join(X0,X1),one),zero)
| zero = composition(join(X0,join(X1,one)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(join(join(X0,X1),one),zero)) ),[1,0],$fot(join(X0,join(X1,one)))]]) ).
cnf(refute_0_1989,plain,
( zero != composition(join(join(X0,X1),one),zero)
| zero = composition(join(X0,join(X1,one)),zero) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),one),join(X0,join(X1,one))) )],[refute_0_1987,refute_0_1988]) ).
cnf(refute_0_1990,plain,
zero = composition(join(X0,join(X1,one)),zero),
inference(resolve,[$cnf( $equal(zero,composition(join(join(X0,X1),one),zero)) )],[refute_0_1984,refute_0_1989]) ).
cnf(refute_0_1991,plain,
composition(join(X0,join(X_157,one)),zero) = join(composition(X0,zero),composition(join(X_157,one),zero)),
inference(subst,[],[refute_0_387:[bind(X1,$fot(join(X_157,one))),bind(X2,$fot(zero))]]) ).
cnf(refute_0_1992,plain,
zero = composition(join(X_157,one),zero),
inference(subst,[],[refute_0_1983:[bind(X1,$fot(X_157))]]) ).
cnf(refute_0_1993,plain,
( zero != composition(join(X_157,one),zero)
| composition(join(X_157,one),zero) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(join(X_157,one),zero)))]]) ).
cnf(refute_0_1994,plain,
composition(join(X_157,one),zero) = zero,
inference(resolve,[$cnf( $equal(zero,composition(join(X_157,one),zero)) )],[refute_0_1992,refute_0_1993]) ).
cnf(refute_0_1995,plain,
( composition(join(X0,join(X_157,one)),zero) != join(composition(X0,zero),composition(join(X_157,one),zero))
| composition(join(X_157,one),zero) != zero
| composition(join(X0,join(X_157,one)),zero) = join(composition(X0,zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(X_157,one)),zero),join(composition(X0,zero),composition(join(X_157,one),zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1996,plain,
( composition(join(X0,join(X_157,one)),zero) != join(composition(X0,zero),composition(join(X_157,one),zero))
| composition(join(X0,join(X_157,one)),zero) = join(composition(X0,zero),zero) ),
inference(resolve,[$cnf( $equal(composition(join(X_157,one),zero),zero) )],[refute_0_1994,refute_0_1995]) ).
cnf(refute_0_1997,plain,
composition(join(X0,join(X_157,one)),zero) = join(composition(X0,zero),zero),
inference(resolve,[$cnf( $equal(composition(join(X0,join(X_157,one)),zero),join(composition(X0,zero),composition(join(X_157,one),zero))) )],[refute_0_1991,refute_0_1996]) ).
cnf(refute_0_1998,plain,
join(composition(X0,zero),zero) = composition(X0,zero),
inference(subst,[],[refute_0_960:[bind(X1,$fot(composition(X0,zero)))]]) ).
cnf(refute_0_1999,plain,
( composition(join(X0,join(X_157,one)),zero) != join(composition(X0,zero),zero)
| join(composition(X0,zero),zero) != composition(X0,zero)
| composition(join(X0,join(X_157,one)),zero) = composition(X0,zero) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,join(X_157,one)),zero),composition(X0,zero)) ),[0],$fot(join(composition(X0,zero),zero))]]) ).
cnf(refute_0_2000,plain,
( composition(join(X0,join(X_157,one)),zero) != join(composition(X0,zero),zero)
| composition(join(X0,join(X_157,one)),zero) = composition(X0,zero) ),
inference(resolve,[$cnf( $equal(join(composition(X0,zero),zero),composition(X0,zero)) )],[refute_0_1998,refute_0_1999]) ).
cnf(refute_0_2001,plain,
composition(join(X0,join(X_157,one)),zero) = composition(X0,zero),
inference(resolve,[$cnf( $equal(composition(join(X0,join(X_157,one)),zero),join(composition(X0,zero),zero)) )],[refute_0_1997,refute_0_2000]) ).
cnf(refute_0_2002,plain,
composition(join(X0,join(X1,one)),zero) = composition(X0,zero),
inference(subst,[],[refute_0_2001:[bind(X_157,$fot(X1))]]) ).
cnf(refute_0_2003,plain,
( composition(join(X0,join(X1,one)),zero) != composition(X0,zero)
| zero != composition(join(X0,join(X1,one)),zero)
| zero = composition(X0,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(join(X0,join(X1,one)),zero)) ),[1],$fot(composition(X0,zero))]]) ).
cnf(refute_0_2004,plain,
( zero != composition(join(X0,join(X1,one)),zero)
| zero = composition(X0,zero) ),
inference(resolve,[$cnf( $equal(composition(join(X0,join(X1,one)),zero),composition(X0,zero)) )],[refute_0_2002,refute_0_2003]) ).
cnf(refute_0_2005,plain,
zero = composition(X0,zero),
inference(resolve,[$cnf( $equal(zero,composition(join(X0,join(X1,one)),zero)) )],[refute_0_1990,refute_0_2004]) ).
cnf(refute_0_2006,plain,
( zero != composition(X0,zero)
| composition(X0,zero) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(X0,zero)))]]) ).
cnf(refute_0_2007,plain,
composition(X0,zero) = zero,
inference(resolve,[$cnf( $equal(zero,composition(X0,zero)) )],[refute_0_2005,refute_0_2006]) ).
cnf(refute_0_2008,plain,
( composition(X0,zero) != zero
| join(complement(zero),composition(converse(X0),complement(composition(X0,zero)))) != complement(zero)
| join(complement(zero),composition(converse(X0),complement(zero))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(composition(X0,zero)))),complement(zero)) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_2009,plain,
( join(complement(zero),composition(converse(X0),complement(composition(X0,zero)))) != complement(zero)
| join(complement(zero),composition(converse(X0),complement(zero))) = complement(zero) ),
inference(resolve,[$cnf( $equal(composition(X0,zero),zero) )],[refute_0_2007,refute_0_2008]) ).
cnf(refute_0_2010,plain,
join(complement(zero),composition(converse(X0),complement(zero))) = complement(zero),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(composition(X0,zero)))),complement(zero)) )],[refute_0_1890,refute_0_2009]) ).
cnf(refute_0_2011,plain,
converse(composition(converse(complement(converse(zero))),X_7)) = composition(converse(X_7),complement(converse(zero))),
inference(subst,[],[refute_0_114:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_2012,plain,
( converse(complement(converse(zero))) != top
| converse(composition(converse(complement(converse(zero))),X_7)) != composition(converse(X_7),complement(converse(zero)))
| converse(composition(top,X_7)) = composition(converse(X_7),complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(complement(converse(zero))),X_7)),composition(converse(X_7),complement(converse(zero)))) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_2013,plain,
( converse(composition(converse(complement(converse(zero))),X_7)) != composition(converse(X_7),complement(converse(zero)))
| converse(composition(top,X_7)) = composition(converse(X_7),complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_864,refute_0_2012]) ).
cnf(refute_0_2014,plain,
converse(composition(top,X_7)) = composition(converse(X_7),complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(composition(converse(complement(converse(zero))),X_7)),composition(converse(X_7),complement(converse(zero)))) )],[refute_0_2011,refute_0_2013]) ).
cnf(refute_0_2015,plain,
composition(converse(X_7),complement(converse(zero))) = composition(converse(X_7),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(converse(X_7),complement(converse(zero))))]]) ).
cnf(refute_0_2016,plain,
( complement(converse(zero)) != top
| composition(converse(X_7),complement(converse(zero))) != composition(converse(X_7),complement(converse(zero)))
| composition(converse(X_7),complement(converse(zero))) = composition(converse(X_7),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_7),complement(converse(zero))),composition(converse(X_7),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2017,plain,
( complement(converse(zero)) != top
| composition(converse(X_7),complement(converse(zero))) = composition(converse(X_7),top) ),
inference(resolve,[$cnf( $equal(composition(converse(X_7),complement(converse(zero))),composition(converse(X_7),complement(converse(zero)))) )],[refute_0_2015,refute_0_2016]) ).
cnf(refute_0_2018,plain,
composition(converse(X_7),complement(converse(zero))) = composition(converse(X_7),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_900,refute_0_2017]) ).
cnf(refute_0_2019,plain,
( composition(converse(X_7),complement(converse(zero))) != composition(converse(X_7),top)
| converse(composition(top,X_7)) != composition(converse(X_7),complement(converse(zero)))
| converse(composition(top,X_7)) = composition(converse(X_7),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,X_7)),composition(converse(X_7),complement(converse(zero)))) ),[1],$fot(composition(converse(X_7),top))]]) ).
cnf(refute_0_2020,plain,
( converse(composition(top,X_7)) != composition(converse(X_7),complement(converse(zero)))
| converse(composition(top,X_7)) = composition(converse(X_7),top) ),
inference(resolve,[$cnf( $equal(composition(converse(X_7),complement(converse(zero))),composition(converse(X_7),top)) )],[refute_0_2018,refute_0_2019]) ).
cnf(refute_0_2021,plain,
converse(composition(top,X_7)) = composition(converse(X_7),top),
inference(resolve,[$cnf( $equal(converse(composition(top,X_7)),composition(converse(X_7),complement(converse(zero)))) )],[refute_0_2014,refute_0_2020]) ).
cnf(refute_0_2022,plain,
( converse(composition(top,X_7)) != composition(converse(X_7),top)
| composition(converse(X_7),top) = converse(composition(top,X_7)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(top,X_7)))),bind(Y,$fot(composition(converse(X_7),top)))]]) ).
cnf(refute_0_2023,plain,
composition(converse(X_7),top) = converse(composition(top,X_7)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_7)),composition(converse(X_7),top)) )],[refute_0_2021,refute_0_2022]) ).
cnf(refute_0_2024,plain,
composition(converse(join(one,X0)),top) = converse(composition(top,join(one,X0))),
inference(subst,[],[refute_0_2023:[bind(X_7,$fot(join(one,X0)))]]) ).
cnf(refute_0_2025,plain,
composition(converse(join(one,X0)),complement(zero)) = composition(converse(join(one,X0)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(join(one,X0)),complement(zero)))]]) ).
cnf(refute_0_2026,plain,
( complement(zero) != top
| composition(converse(join(one,X0)),complement(zero)) != composition(converse(join(one,X0)),complement(zero))
| composition(converse(join(one,X0)),complement(zero)) = composition(converse(join(one,X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(one,X0)),complement(zero)),composition(converse(join(one,X0)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2027,plain,
( complement(zero) != top
| composition(converse(join(one,X0)),complement(zero)) = composition(converse(join(one,X0)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,X0)),complement(zero)),composition(converse(join(one,X0)),complement(zero))) )],[refute_0_2025,refute_0_2026]) ).
cnf(refute_0_2028,plain,
composition(converse(join(one,X0)),complement(zero)) = composition(converse(join(one,X0)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1134,refute_0_2027]) ).
cnf(refute_0_2029,plain,
join(one,converse(X0)) = converse(join(one,X0)),
inference(subst,[],[refute_0_1913:[bind(X_5,$fot(X0))]]) ).
cnf(refute_0_2030,plain,
composition(join(one,converse(X0)),complement(zero)) = composition(join(one,converse(X0)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(join(one,converse(X0)),complement(zero)))]]) ).
cnf(refute_0_2031,plain,
( composition(join(one,converse(X0)),complement(zero)) != composition(join(one,converse(X0)),complement(zero))
| join(one,converse(X0)) != converse(join(one,X0))
| composition(join(one,converse(X0)),complement(zero)) = composition(converse(join(one,X0)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(X0)),complement(zero)),composition(join(one,converse(X0)),complement(zero))) ),[1,0],$fot(converse(join(one,X0)))]]) ).
cnf(refute_0_2032,plain,
( join(one,converse(X0)) != converse(join(one,X0))
| composition(join(one,converse(X0)),complement(zero)) = composition(converse(join(one,X0)),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X0)),complement(zero)),composition(join(one,converse(X0)),complement(zero))) )],[refute_0_2030,refute_0_2031]) ).
cnf(refute_0_2033,plain,
composition(join(one,converse(X0)),complement(zero)) = composition(converse(join(one,X0)),complement(zero)),
inference(resolve,[$cnf( $equal(join(one,converse(X0)),converse(join(one,X0))) )],[refute_0_2029,refute_0_2032]) ).
cnf(refute_0_2034,plain,
( composition(converse(join(one,X0)),complement(zero)) != composition(converse(join(one,X0)),top)
| composition(join(one,converse(X0)),complement(zero)) != composition(converse(join(one,X0)),complement(zero))
| composition(join(one,converse(X0)),complement(zero)) = composition(converse(join(one,X0)),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(join(one,converse(X0)),complement(zero)))),bind(Y,$fot(composition(converse(join(one,X0)),complement(zero)))),bind(Z,$fot(composition(converse(join(one,X0)),top)))]]) ).
cnf(refute_0_2035,plain,
( composition(converse(join(one,X0)),complement(zero)) != composition(converse(join(one,X0)),top)
| composition(join(one,converse(X0)),complement(zero)) = composition(converse(join(one,X0)),top) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X0)),complement(zero)),composition(converse(join(one,X0)),complement(zero))) )],[refute_0_2033,refute_0_2034]) ).
cnf(refute_0_2036,plain,
composition(join(one,converse(X0)),complement(zero)) = composition(converse(join(one,X0)),top),
inference(resolve,[$cnf( $equal(composition(converse(join(one,X0)),complement(zero)),composition(converse(join(one,X0)),top)) )],[refute_0_2028,refute_0_2035]) ).
cnf(refute_0_2037,plain,
( composition(converse(join(one,X0)),top) != converse(composition(top,join(one,X0)))
| composition(join(one,converse(X0)),complement(zero)) != composition(converse(join(one,X0)),top)
| composition(join(one,converse(X0)),complement(zero)) = converse(composition(top,join(one,X0))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(join(one,converse(X0)),complement(zero)))),bind(Y,$fot(composition(converse(join(one,X0)),top))),bind(Z,$fot(converse(composition(top,join(one,X0)))))]]) ).
cnf(refute_0_2038,plain,
( composition(converse(join(one,X0)),top) != converse(composition(top,join(one,X0)))
| composition(join(one,converse(X0)),complement(zero)) = converse(composition(top,join(one,X0))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X0)),complement(zero)),composition(converse(join(one,X0)),top)) )],[refute_0_2036,refute_0_2037]) ).
cnf(refute_0_2039,plain,
composition(join(one,converse(X0)),complement(zero)) = converse(composition(top,join(one,X0))),
inference(resolve,[$cnf( $equal(composition(converse(join(one,X0)),top),converse(composition(top,join(one,X0)))) )],[refute_0_2024,refute_0_2038]) ).
cnf(refute_0_2040,plain,
composition(join(join(one,one),X1),complement(X_68)) = join(composition(join(one,one),complement(X_68)),composition(X1,complement(X_68))),
inference(subst,[],[refute_0_387:[bind(X0,$fot(join(one,one))),bind(X2,$fot(complement(X_68)))]]) ).
cnf(refute_0_2041,plain,
( composition(one,X_64) != X_64
| join(complement(X_64),composition(converse(one),complement(composition(one,X_64)))) != complement(X_64)
| join(complement(X_64),composition(converse(one),complement(X_64))) = complement(X_64) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_64),composition(converse(one),complement(composition(one,X_64)))),complement(X_64)) ),[0,1,1,0],$fot(X_64)]]) ).
cnf(refute_0_2042,plain,
( join(complement(X_64),composition(converse(one),complement(composition(one,X_64)))) != complement(X_64)
| join(complement(X_64),composition(converse(one),complement(X_64))) = complement(X_64) ),
inference(resolve,[$cnf( $equal(composition(one,X_64),X_64) )],[refute_0_144,refute_0_2041]) ).
cnf(refute_0_2043,plain,
join(complement(X_64),composition(converse(one),complement(X_64))) = complement(X_64),
inference(resolve,[$cnf( $equal(join(complement(X_64),composition(converse(one),complement(composition(one,X_64)))),complement(X_64)) )],[refute_0_108,refute_0_2042]) ).
cnf(refute_0_2044,plain,
converse(join(one,one)) = join(one,converse(one)),
inference(subst,[],[refute_0_1911:[bind(X_5,$fot(one))]]) ).
cnf(refute_0_2045,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(one) != one
| converse(join(one,one)) = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_2046,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(join(one,one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_131,refute_0_2045]) ).
cnf(refute_0_2047,plain,
converse(join(one,one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) )],[refute_0_2044,refute_0_2046]) ).
cnf(refute_0_2048,plain,
join(one,converse(one)) = converse(join(one,one)),
inference(subst,[],[refute_0_1913:[bind(X_5,$fot(one))]]) ).
cnf(refute_0_2049,plain,
( converse(join(one,one)) != join(one,one)
| join(one,converse(one)) != converse(join(one,one))
| join(one,converse(one)) = join(one,one) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(one,converse(one)))),bind(Y,$fot(converse(join(one,one)))),bind(Z,$fot(join(one,one)))]]) ).
cnf(refute_0_2050,plain,
( converse(join(one,one)) != join(one,one)
| join(one,converse(one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(join(one,converse(one)),converse(join(one,one))) )],[refute_0_2048,refute_0_2049]) ).
cnf(refute_0_2051,plain,
join(one,converse(one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_2047,refute_0_2050]) ).
cnf(refute_0_2052,plain,
composition(join(one,converse(one)),complement(X_64)) = composition(join(one,converse(one)),complement(X_64)),
introduced(tautology,[refl,[$fot(composition(join(one,converse(one)),complement(X_64)))]]) ).
cnf(refute_0_2053,plain,
( composition(join(one,converse(one)),complement(X_64)) != composition(join(one,converse(one)),complement(X_64))
| join(one,converse(one)) != join(one,one)
| composition(join(one,converse(one)),complement(X_64)) = composition(join(one,one),complement(X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(one)),complement(X_64)),composition(join(one,converse(one)),complement(X_64))) ),[1,0],$fot(join(one,one))]]) ).
cnf(refute_0_2054,plain,
( join(one,converse(one)) != join(one,one)
| composition(join(one,converse(one)),complement(X_64)) = composition(join(one,one),complement(X_64)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(one)),complement(X_64)),composition(join(one,converse(one)),complement(X_64))) )],[refute_0_2052,refute_0_2053]) ).
cnf(refute_0_2055,plain,
composition(join(one,converse(one)),complement(X_64)) = composition(join(one,one),complement(X_64)),
inference(resolve,[$cnf( $equal(join(one,converse(one)),join(one,one)) )],[refute_0_2051,refute_0_2054]) ).
cnf(refute_0_2056,plain,
composition(join(converse(one),one),complement(X_64)) = composition(join(one,converse(one)),complement(X_64)),
inference(subst,[],[refute_0_1939:[bind(X_58,$fot(converse(one))),bind(X_59,$fot(one)),bind(X_60,$fot(complement(X_64)))]]) ).
cnf(refute_0_2057,plain,
join(complement(X_64),composition(converse(one),complement(X_64))) = composition(join(converse(one),one),complement(X_64)),
inference(subst,[],[refute_0_1953:[bind(X_58,$fot(converse(one))),bind(X_60,$fot(complement(X_64)))]]) ).
cnf(refute_0_2058,plain,
( composition(join(converse(one),one),complement(X_64)) != composition(join(one,converse(one)),complement(X_64))
| join(complement(X_64),composition(converse(one),complement(X_64))) != composition(join(converse(one),one),complement(X_64))
| join(complement(X_64),composition(converse(one),complement(X_64))) = composition(join(one,converse(one)),complement(X_64)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(X_64),composition(converse(one),complement(X_64))))),bind(Y,$fot(composition(join(converse(one),one),complement(X_64)))),bind(Z,$fot(composition(join(one,converse(one)),complement(X_64))))]]) ).
cnf(refute_0_2059,plain,
( composition(join(converse(one),one),complement(X_64)) != composition(join(one,converse(one)),complement(X_64))
| join(complement(X_64),composition(converse(one),complement(X_64))) = composition(join(one,converse(one)),complement(X_64)) ),
inference(resolve,[$cnf( $equal(join(complement(X_64),composition(converse(one),complement(X_64))),composition(join(converse(one),one),complement(X_64))) )],[refute_0_2057,refute_0_2058]) ).
cnf(refute_0_2060,plain,
join(complement(X_64),composition(converse(one),complement(X_64))) = composition(join(one,converse(one)),complement(X_64)),
inference(resolve,[$cnf( $equal(composition(join(converse(one),one),complement(X_64)),composition(join(one,converse(one)),complement(X_64))) )],[refute_0_2056,refute_0_2059]) ).
cnf(refute_0_2061,plain,
( composition(join(one,converse(one)),complement(X_64)) != composition(join(one,one),complement(X_64))
| join(complement(X_64),composition(converse(one),complement(X_64))) != composition(join(one,converse(one)),complement(X_64))
| join(complement(X_64),composition(converse(one),complement(X_64))) = composition(join(one,one),complement(X_64)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(X_64),composition(converse(one),complement(X_64))))),bind(Y,$fot(composition(join(one,converse(one)),complement(X_64)))),bind(Z,$fot(composition(join(one,one),complement(X_64))))]]) ).
cnf(refute_0_2062,plain,
( composition(join(one,converse(one)),complement(X_64)) != composition(join(one,one),complement(X_64))
| join(complement(X_64),composition(converse(one),complement(X_64))) = composition(join(one,one),complement(X_64)) ),
inference(resolve,[$cnf( $equal(join(complement(X_64),composition(converse(one),complement(X_64))),composition(join(one,converse(one)),complement(X_64))) )],[refute_0_2060,refute_0_2061]) ).
cnf(refute_0_2063,plain,
join(complement(X_64),composition(converse(one),complement(X_64))) = composition(join(one,one),complement(X_64)),
inference(resolve,[$cnf( $equal(composition(join(one,converse(one)),complement(X_64)),composition(join(one,one),complement(X_64))) )],[refute_0_2055,refute_0_2062]) ).
cnf(refute_0_2064,plain,
( join(complement(X_64),composition(converse(one),complement(X_64))) != complement(X_64)
| join(complement(X_64),composition(converse(one),complement(X_64))) != composition(join(one,one),complement(X_64))
| composition(join(one,one),complement(X_64)) = complement(X_64) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_64),composition(converse(one),complement(X_64))),complement(X_64)) ),[0],$fot(composition(join(one,one),complement(X_64)))]]) ).
cnf(refute_0_2065,plain,
( join(complement(X_64),composition(converse(one),complement(X_64))) != complement(X_64)
| composition(join(one,one),complement(X_64)) = complement(X_64) ),
inference(resolve,[$cnf( $equal(join(complement(X_64),composition(converse(one),complement(X_64))),composition(join(one,one),complement(X_64))) )],[refute_0_2063,refute_0_2064]) ).
cnf(refute_0_2066,plain,
composition(join(one,one),complement(X_64)) = complement(X_64),
inference(resolve,[$cnf( $equal(join(complement(X_64),composition(converse(one),complement(X_64))),complement(X_64)) )],[refute_0_2043,refute_0_2065]) ).
cnf(refute_0_2067,plain,
composition(join(one,one),complement(X_68)) = complement(X_68),
inference(subst,[],[refute_0_2066:[bind(X_64,$fot(X_68))]]) ).
cnf(refute_0_2068,plain,
( composition(join(join(one,one),X1),complement(X_68)) != join(composition(join(one,one),complement(X_68)),composition(X1,complement(X_68)))
| composition(join(one,one),complement(X_68)) != complement(X_68)
| composition(join(join(one,one),X1),complement(X_68)) = join(complement(X_68),composition(X1,complement(X_68))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,one),X1),complement(X_68)),join(composition(join(one,one),complement(X_68)),composition(X1,complement(X_68)))) ),[1,0],$fot(complement(X_68))]]) ).
cnf(refute_0_2069,plain,
( composition(join(join(one,one),X1),complement(X_68)) != join(composition(join(one,one),complement(X_68)),composition(X1,complement(X_68)))
| composition(join(join(one,one),X1),complement(X_68)) = join(complement(X_68),composition(X1,complement(X_68))) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(X_68)),complement(X_68)) )],[refute_0_2067,refute_0_2068]) ).
cnf(refute_0_2070,plain,
composition(join(join(one,one),X1),complement(X_68)) = join(complement(X_68),composition(X1,complement(X_68))),
inference(resolve,[$cnf( $equal(composition(join(join(one,one),X1),complement(X_68)),join(composition(join(one,one),complement(X_68)),composition(X1,complement(X_68)))) )],[refute_0_2040,refute_0_2069]) ).
cnf(refute_0_2071,plain,
join(join(one,one),X1) = join(one,join(one,X1)),
inference(subst,[],[refute_0_404:[bind(X0,$fot(one)),bind(X1,$fot(one)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_2072,plain,
composition(join(join(one,one),X1),complement(X_68)) = composition(join(join(one,one),X1),complement(X_68)),
introduced(tautology,[refl,[$fot(composition(join(join(one,one),X1),complement(X_68)))]]) ).
cnf(refute_0_2073,plain,
( composition(join(join(one,one),X1),complement(X_68)) != composition(join(join(one,one),X1),complement(X_68))
| join(join(one,one),X1) != join(one,join(one,X1))
| composition(join(join(one,one),X1),complement(X_68)) = composition(join(one,join(one,X1)),complement(X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,one),X1),complement(X_68)),composition(join(join(one,one),X1),complement(X_68))) ),[1,0],$fot(join(one,join(one,X1)))]]) ).
cnf(refute_0_2074,plain,
( join(join(one,one),X1) != join(one,join(one,X1))
| composition(join(join(one,one),X1),complement(X_68)) = composition(join(one,join(one,X1)),complement(X_68)) ),
inference(resolve,[$cnf( $equal(composition(join(join(one,one),X1),complement(X_68)),composition(join(join(one,one),X1),complement(X_68))) )],[refute_0_2072,refute_0_2073]) ).
cnf(refute_0_2075,plain,
composition(join(join(one,one),X1),complement(X_68)) = composition(join(one,join(one,X1)),complement(X_68)),
inference(resolve,[$cnf( $equal(join(join(one,one),X1),join(one,join(one,X1))) )],[refute_0_2071,refute_0_2074]) ).
cnf(refute_0_2076,plain,
( composition(join(join(one,one),X1),complement(X_68)) != composition(join(one,join(one,X1)),complement(X_68))
| composition(join(join(one,one),X1),complement(X_68)) != join(complement(X_68),composition(X1,complement(X_68)))
| composition(join(one,join(one,X1)),complement(X_68)) = join(complement(X_68),composition(X1,complement(X_68))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,one),X1),complement(X_68)),join(complement(X_68),composition(X1,complement(X_68)))) ),[0],$fot(composition(join(one,join(one,X1)),complement(X_68)))]]) ).
cnf(refute_0_2077,plain,
( composition(join(join(one,one),X1),complement(X_68)) != join(complement(X_68),composition(X1,complement(X_68)))
| composition(join(one,join(one,X1)),complement(X_68)) = join(complement(X_68),composition(X1,complement(X_68))) ),
inference(resolve,[$cnf( $equal(composition(join(join(one,one),X1),complement(X_68)),composition(join(one,join(one,X1)),complement(X_68))) )],[refute_0_2075,refute_0_2076]) ).
cnf(refute_0_2078,plain,
join(complement(X_68),composition(X1,complement(X_68))) = composition(join(X1,one),complement(X_68)),
inference(subst,[],[refute_0_1953:[bind(X_58,$fot(X1)),bind(X_60,$fot(complement(X_68)))]]) ).
cnf(refute_0_2079,plain,
( composition(join(one,join(one,X1)),complement(X_68)) != join(complement(X_68),composition(X1,complement(X_68)))
| join(complement(X_68),composition(X1,complement(X_68))) != composition(join(X1,one),complement(X_68))
| composition(join(one,join(one,X1)),complement(X_68)) = composition(join(X1,one),complement(X_68)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,join(one,X1)),complement(X_68)),composition(join(X1,one),complement(X_68))) ),[0],$fot(join(complement(X_68),composition(X1,complement(X_68))))]]) ).
cnf(refute_0_2080,plain,
( composition(join(one,join(one,X1)),complement(X_68)) != join(complement(X_68),composition(X1,complement(X_68)))
| composition(join(one,join(one,X1)),complement(X_68)) = composition(join(X1,one),complement(X_68)) ),
inference(resolve,[$cnf( $equal(join(complement(X_68),composition(X1,complement(X_68))),composition(join(X1,one),complement(X_68))) )],[refute_0_2078,refute_0_2079]) ).
cnf(refute_0_2081,plain,
( composition(join(join(one,one),X1),complement(X_68)) != join(complement(X_68),composition(X1,complement(X_68)))
| composition(join(one,join(one,X1)),complement(X_68)) = composition(join(X1,one),complement(X_68)) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,X1)),complement(X_68)),join(complement(X_68),composition(X1,complement(X_68)))) )],[refute_0_2077,refute_0_2080]) ).
cnf(refute_0_2082,plain,
composition(join(one,join(one,X1)),complement(X_68)) = composition(join(X1,one),complement(X_68)),
inference(resolve,[$cnf( $equal(composition(join(join(one,one),X1),complement(X_68)),join(complement(X_68),composition(X1,complement(X_68)))) )],[refute_0_2070,refute_0_2081]) ).
cnf(refute_0_2083,plain,
join(X1,join(X1,X2)) = join(join(X1,X1),X2),
inference(subst,[],[refute_0_242:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_2084,plain,
join(X_120,X_120) = complement(complement(join(X_120,X_120))),
inference(subst,[],[refute_0_350:[bind(X_93,$fot(join(X_120,X_120)))]]) ).
cnf(refute_0_2085,plain,
complement(X_119) = join(meet(X_119,complement(X_119)),complement(join(complement(complement(X_119)),X_119))),
inference(subst,[],[refute_0_1627:[bind(X_93,$fot(complement(X_119))),bind(X_94,$fot(X_119))]]) ).
cnf(refute_0_2086,plain,
zero = meet(X_119,complement(X_119)),
inference(subst,[],[refute_0_33:[bind(X0,$fot(X_119))]]) ).
cnf(refute_0_2087,plain,
( zero != meet(X_119,complement(X_119))
| meet(X_119,complement(X_119)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_119,complement(X_119))))]]) ).
cnf(refute_0_2088,plain,
meet(X_119,complement(X_119)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_119,complement(X_119))) )],[refute_0_2086,refute_0_2087]) ).
cnf(refute_0_2089,plain,
( complement(X_119) != join(meet(X_119,complement(X_119)),complement(join(complement(complement(X_119)),X_119)))
| meet(X_119,complement(X_119)) != zero
| complement(X_119) = join(zero,complement(join(complement(complement(X_119)),X_119))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_119),join(meet(X_119,complement(X_119)),complement(join(complement(complement(X_119)),X_119)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2090,plain,
( complement(X_119) != join(meet(X_119,complement(X_119)),complement(join(complement(complement(X_119)),X_119)))
| complement(X_119) = join(zero,complement(join(complement(complement(X_119)),X_119))) ),
inference(resolve,[$cnf( $equal(meet(X_119,complement(X_119)),zero) )],[refute_0_2088,refute_0_2089]) ).
cnf(refute_0_2091,plain,
complement(X_119) = join(zero,complement(join(complement(complement(X_119)),X_119))),
inference(resolve,[$cnf( $equal(complement(X_119),join(meet(X_119,complement(X_119)),complement(join(complement(complement(X_119)),X_119)))) )],[refute_0_2085,refute_0_2090]) ).
cnf(refute_0_2092,plain,
complement(complement(X_119)) = X_119,
inference(subst,[],[refute_0_352:[bind(X_93,$fot(X_119))]]) ).
cnf(refute_0_2093,plain,
join(X_119,complement(complement(X_119))) = join(X_119,complement(complement(X_119))),
introduced(tautology,[refl,[$fot(join(X_119,complement(complement(X_119))))]]) ).
cnf(refute_0_2094,plain,
( complement(complement(X_119)) != X_119
| join(X_119,complement(complement(X_119))) != join(X_119,complement(complement(X_119)))
| join(X_119,complement(complement(X_119))) = join(X_119,X_119) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_119,complement(complement(X_119))),join(X_119,complement(complement(X_119)))) ),[1,1],$fot(X_119)]]) ).
cnf(refute_0_2095,plain,
( complement(complement(X_119)) != X_119
| join(X_119,complement(complement(X_119))) = join(X_119,X_119) ),
inference(resolve,[$cnf( $equal(join(X_119,complement(complement(X_119))),join(X_119,complement(complement(X_119)))) )],[refute_0_2093,refute_0_2094]) ).
cnf(refute_0_2096,plain,
join(X_119,complement(complement(X_119))) = join(X_119,X_119),
inference(resolve,[$cnf( $equal(complement(complement(X_119)),X_119) )],[refute_0_2092,refute_0_2095]) ).
cnf(refute_0_2097,plain,
join(complement(complement(X_119)),X_119) = join(X_119,complement(complement(X_119))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(X_119)),bind(X1,$fot(complement(complement(X_119))))]]) ).
cnf(refute_0_2098,plain,
( join(X_119,complement(complement(X_119))) != join(X_119,X_119)
| join(complement(complement(X_119)),X_119) != join(X_119,complement(complement(X_119)))
| join(complement(complement(X_119)),X_119) = join(X_119,X_119) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(complement(X_119)),X_119))),bind(Y,$fot(join(X_119,complement(complement(X_119))))),bind(Z,$fot(join(X_119,X_119)))]]) ).
cnf(refute_0_2099,plain,
( join(X_119,complement(complement(X_119))) != join(X_119,X_119)
| join(complement(complement(X_119)),X_119) = join(X_119,X_119) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_119)),X_119),join(X_119,complement(complement(X_119)))) )],[refute_0_2097,refute_0_2098]) ).
cnf(refute_0_2100,plain,
join(complement(complement(X_119)),X_119) = join(X_119,X_119),
inference(resolve,[$cnf( $equal(join(X_119,complement(complement(X_119))),join(X_119,X_119)) )],[refute_0_2096,refute_0_2099]) ).
cnf(refute_0_2101,plain,
complement(join(complement(complement(X_119)),X_119)) = complement(join(complement(complement(X_119)),X_119)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(X_119)),X_119)))]]) ).
cnf(refute_0_2102,plain,
( complement(join(complement(complement(X_119)),X_119)) != complement(join(complement(complement(X_119)),X_119))
| join(complement(complement(X_119)),X_119) != join(X_119,X_119)
| complement(join(complement(complement(X_119)),X_119)) = complement(join(X_119,X_119)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(X_119)),X_119)),complement(join(complement(complement(X_119)),X_119))) ),[1,0],$fot(join(X_119,X_119))]]) ).
cnf(refute_0_2103,plain,
( join(complement(complement(X_119)),X_119) != join(X_119,X_119)
| complement(join(complement(complement(X_119)),X_119)) = complement(join(X_119,X_119)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_119)),X_119)),complement(join(complement(complement(X_119)),X_119))) )],[refute_0_2101,refute_0_2102]) ).
cnf(refute_0_2104,plain,
complement(join(complement(complement(X_119)),X_119)) = complement(join(X_119,X_119)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_119)),X_119),join(X_119,X_119)) )],[refute_0_2100,refute_0_2103]) ).
cnf(refute_0_2105,plain,
join(zero,complement(join(complement(complement(X_119)),X_119))) = complement(join(complement(complement(X_119)),X_119)),
inference(subst,[],[refute_0_373:[bind(X_93,$fot(complement(join(complement(complement(X_119)),X_119))))]]) ).
cnf(refute_0_2106,plain,
( complement(join(complement(complement(X_119)),X_119)) != complement(join(X_119,X_119))
| join(zero,complement(join(complement(complement(X_119)),X_119))) != complement(join(complement(complement(X_119)),X_119))
| join(zero,complement(join(complement(complement(X_119)),X_119))) = complement(join(X_119,X_119)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(zero,complement(join(complement(complement(X_119)),X_119))))),bind(Y,$fot(complement(join(complement(complement(X_119)),X_119)))),bind(Z,$fot(complement(join(X_119,X_119))))]]) ).
cnf(refute_0_2107,plain,
( complement(join(complement(complement(X_119)),X_119)) != complement(join(X_119,X_119))
| join(zero,complement(join(complement(complement(X_119)),X_119))) = complement(join(X_119,X_119)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_119)),X_119))),complement(join(complement(complement(X_119)),X_119))) )],[refute_0_2105,refute_0_2106]) ).
cnf(refute_0_2108,plain,
join(zero,complement(join(complement(complement(X_119)),X_119))) = complement(join(X_119,X_119)),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_119)),X_119)),complement(join(X_119,X_119))) )],[refute_0_2104,refute_0_2107]) ).
cnf(refute_0_2109,plain,
( complement(X_119) != join(zero,complement(join(complement(complement(X_119)),X_119)))
| join(zero,complement(join(complement(complement(X_119)),X_119))) != complement(join(X_119,X_119))
| complement(X_119) = complement(join(X_119,X_119)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_119),complement(join(X_119,X_119))) ),[0],$fot(join(zero,complement(join(complement(complement(X_119)),X_119))))]]) ).
cnf(refute_0_2110,plain,
( complement(X_119) != join(zero,complement(join(complement(complement(X_119)),X_119)))
| complement(X_119) = complement(join(X_119,X_119)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_119)),X_119))),complement(join(X_119,X_119))) )],[refute_0_2108,refute_0_2109]) ).
cnf(refute_0_2111,plain,
complement(X_119) = complement(join(X_119,X_119)),
inference(resolve,[$cnf( $equal(complement(X_119),join(zero,complement(join(complement(complement(X_119)),X_119)))) )],[refute_0_2091,refute_0_2110]) ).
cnf(refute_0_2112,plain,
complement(X_120) = complement(join(X_120,X_120)),
inference(subst,[],[refute_0_2111:[bind(X_119,$fot(X_120))]]) ).
cnf(refute_0_2113,plain,
( complement(X_120) != complement(join(X_120,X_120))
| complement(join(X_120,X_120)) = complement(X_120) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_120))),bind(Y,$fot(complement(join(X_120,X_120))))]]) ).
cnf(refute_0_2114,plain,
complement(join(X_120,X_120)) = complement(X_120),
inference(resolve,[$cnf( $equal(complement(X_120),complement(join(X_120,X_120))) )],[refute_0_2112,refute_0_2113]) ).
cnf(refute_0_2115,plain,
( complement(join(X_120,X_120)) != complement(X_120)
| join(X_120,X_120) != complement(complement(join(X_120,X_120)))
| join(X_120,X_120) = complement(complement(X_120)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_120,X_120),complement(complement(join(X_120,X_120)))) ),[1,0],$fot(complement(X_120))]]) ).
cnf(refute_0_2116,plain,
( join(X_120,X_120) != complement(complement(join(X_120,X_120)))
| join(X_120,X_120) = complement(complement(X_120)) ),
inference(resolve,[$cnf( $equal(complement(join(X_120,X_120)),complement(X_120)) )],[refute_0_2114,refute_0_2115]) ).
cnf(refute_0_2117,plain,
join(X_120,X_120) = complement(complement(X_120)),
inference(resolve,[$cnf( $equal(join(X_120,X_120),complement(complement(join(X_120,X_120)))) )],[refute_0_2084,refute_0_2116]) ).
cnf(refute_0_2118,plain,
complement(complement(X_120)) = X_120,
inference(subst,[],[refute_0_352:[bind(X_93,$fot(X_120))]]) ).
cnf(refute_0_2119,plain,
( complement(complement(X_120)) != X_120
| join(X_120,X_120) != complement(complement(X_120))
| join(X_120,X_120) = X_120 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_120,X_120),complement(complement(X_120))) ),[1],$fot(X_120)]]) ).
cnf(refute_0_2120,plain,
( join(X_120,X_120) != complement(complement(X_120))
| join(X_120,X_120) = X_120 ),
inference(resolve,[$cnf( $equal(complement(complement(X_120)),X_120) )],[refute_0_2118,refute_0_2119]) ).
cnf(refute_0_2121,plain,
join(X_120,X_120) = X_120,
inference(resolve,[$cnf( $equal(join(X_120,X_120),complement(complement(X_120))) )],[refute_0_2117,refute_0_2120]) ).
cnf(refute_0_2122,plain,
join(X1,X1) = X1,
inference(subst,[],[refute_0_2121:[bind(X_120,$fot(X1))]]) ).
cnf(refute_0_2123,plain,
( join(X1,X1) != X1
| join(X1,join(X1,X2)) != join(join(X1,X1),X2)
| join(X1,join(X1,X2)) = join(X1,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(X1,X2)),join(join(X1,X1),X2)) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_2124,plain,
( join(X1,join(X1,X2)) != join(join(X1,X1),X2)
| join(X1,join(X1,X2)) = join(X1,X2) ),
inference(resolve,[$cnf( $equal(join(X1,X1),X1) )],[refute_0_2122,refute_0_2123]) ).
cnf(refute_0_2125,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(resolve,[$cnf( $equal(join(X1,join(X1,X2)),join(join(X1,X1),X2)) )],[refute_0_2083,refute_0_2124]) ).
cnf(refute_0_2126,plain,
join(one,join(one,X1)) = join(one,X1),
inference(subst,[],[refute_0_2125:[bind(X1,$fot(one)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_2127,plain,
composition(join(one,join(one,X1)),complement(X_68)) = composition(join(one,join(one,X1)),complement(X_68)),
introduced(tautology,[refl,[$fot(composition(join(one,join(one,X1)),complement(X_68)))]]) ).
cnf(refute_0_2128,plain,
( composition(join(one,join(one,X1)),complement(X_68)) != composition(join(one,join(one,X1)),complement(X_68))
| join(one,join(one,X1)) != join(one,X1)
| composition(join(one,join(one,X1)),complement(X_68)) = composition(join(one,X1),complement(X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(one,X1)),complement(X_68)),composition(join(one,join(one,X1)),complement(X_68))) ),[1,0],$fot(join(one,X1))]]) ).
cnf(refute_0_2129,plain,
( join(one,join(one,X1)) != join(one,X1)
| composition(join(one,join(one,X1)),complement(X_68)) = composition(join(one,X1),complement(X_68)) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,X1)),complement(X_68)),composition(join(one,join(one,X1)),complement(X_68))) )],[refute_0_2127,refute_0_2128]) ).
cnf(refute_0_2130,plain,
composition(join(one,join(one,X1)),complement(X_68)) = composition(join(one,X1),complement(X_68)),
inference(resolve,[$cnf( $equal(join(one,join(one,X1)),join(one,X1)) )],[refute_0_2126,refute_0_2129]) ).
cnf(refute_0_2131,plain,
( composition(join(one,join(one,X1)),complement(X_68)) != composition(join(X1,one),complement(X_68))
| composition(join(one,join(one,X1)),complement(X_68)) != composition(join(one,X1),complement(X_68))
| composition(join(one,X1),complement(X_68)) = composition(join(X1,one),complement(X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(one,X1)),complement(X_68)),composition(join(X1,one),complement(X_68))) ),[0],$fot(composition(join(one,X1),complement(X_68)))]]) ).
cnf(refute_0_2132,plain,
( composition(join(one,join(one,X1)),complement(X_68)) != composition(join(X1,one),complement(X_68))
| composition(join(one,X1),complement(X_68)) = composition(join(X1,one),complement(X_68)) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,X1)),complement(X_68)),composition(join(one,X1),complement(X_68))) )],[refute_0_2130,refute_0_2131]) ).
cnf(refute_0_2133,plain,
composition(join(one,X1),complement(X_68)) = composition(join(X1,one),complement(X_68)),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,X1)),complement(X_68)),composition(join(X1,one),complement(X_68))) )],[refute_0_2082,refute_0_2132]) ).
cnf(refute_0_2134,plain,
( composition(join(one,X1),complement(X_68)) != composition(join(X1,one),complement(X_68))
| composition(join(X1,one),complement(X_68)) = composition(join(one,X1),complement(X_68)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(one,X1),complement(X_68)))),bind(Y,$fot(composition(join(X1,one),complement(X_68))))]]) ).
cnf(refute_0_2135,plain,
composition(join(X1,one),complement(X_68)) = composition(join(one,X1),complement(X_68)),
inference(resolve,[$cnf( $equal(composition(join(one,X1),complement(X_68)),composition(join(X1,one),complement(X_68))) )],[refute_0_2133,refute_0_2134]) ).
cnf(refute_0_2136,plain,
composition(join(converse(X0),one),complement(zero)) = composition(join(one,converse(X0)),complement(zero)),
inference(subst,[],[refute_0_2135:[bind(X1,$fot(converse(X0))),bind(X_68,$fot(zero))]]) ).
cnf(refute_0_2137,plain,
join(complement(zero),composition(converse(X0),complement(zero))) = composition(join(converse(X0),one),complement(zero)),
inference(subst,[],[refute_0_1953:[bind(X_58,$fot(converse(X0))),bind(X_60,$fot(complement(zero)))]]) ).
cnf(refute_0_2138,plain,
( composition(join(converse(X0),one),complement(zero)) != composition(join(one,converse(X0)),complement(zero))
| join(complement(zero),composition(converse(X0),complement(zero))) != composition(join(converse(X0),one),complement(zero))
| join(complement(zero),composition(converse(X0),complement(zero))) = composition(join(one,converse(X0)),complement(zero)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(zero),composition(converse(X0),complement(zero))))),bind(Y,$fot(composition(join(converse(X0),one),complement(zero)))),bind(Z,$fot(composition(join(one,converse(X0)),complement(zero))))]]) ).
cnf(refute_0_2139,plain,
( composition(join(converse(X0),one),complement(zero)) != composition(join(one,converse(X0)),complement(zero))
| join(complement(zero),composition(converse(X0),complement(zero))) = composition(join(one,converse(X0)),complement(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),composition(join(converse(X0),one),complement(zero))) )],[refute_0_2137,refute_0_2138]) ).
cnf(refute_0_2140,plain,
join(complement(zero),composition(converse(X0),complement(zero))) = composition(join(one,converse(X0)),complement(zero)),
inference(resolve,[$cnf( $equal(composition(join(converse(X0),one),complement(zero)),composition(join(one,converse(X0)),complement(zero))) )],[refute_0_2136,refute_0_2139]) ).
cnf(refute_0_2141,plain,
( composition(join(one,converse(X0)),complement(zero)) != converse(composition(top,join(one,X0)))
| join(complement(zero),composition(converse(X0),complement(zero))) != composition(join(one,converse(X0)),complement(zero))
| join(complement(zero),composition(converse(X0),complement(zero))) = converse(composition(top,join(one,X0))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(zero),composition(converse(X0),complement(zero))))),bind(Y,$fot(composition(join(one,converse(X0)),complement(zero)))),bind(Z,$fot(converse(composition(top,join(one,X0)))))]]) ).
cnf(refute_0_2142,plain,
( composition(join(one,converse(X0)),complement(zero)) != converse(composition(top,join(one,X0)))
| join(complement(zero),composition(converse(X0),complement(zero))) = converse(composition(top,join(one,X0))) ),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),composition(join(one,converse(X0)),complement(zero))) )],[refute_0_2140,refute_0_2141]) ).
cnf(refute_0_2143,plain,
join(complement(zero),composition(converse(X0),complement(zero))) = converse(composition(top,join(one,X0))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X0)),complement(zero)),converse(composition(top,join(one,X0)))) )],[refute_0_2039,refute_0_2142]) ).
cnf(refute_0_2144,plain,
( join(complement(zero),composition(converse(X0),complement(zero))) != complement(zero)
| join(complement(zero),composition(converse(X0),complement(zero))) != converse(composition(top,join(one,X0)))
| converse(composition(top,join(one,X0))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),complement(zero)) ),[0],$fot(converse(composition(top,join(one,X0))))]]) ).
cnf(refute_0_2145,plain,
( join(complement(zero),composition(converse(X0),complement(zero))) != complement(zero)
| converse(composition(top,join(one,X0))) = complement(zero) ),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),converse(composition(top,join(one,X0)))) )],[refute_0_2143,refute_0_2144]) ).
cnf(refute_0_2146,plain,
( complement(zero) != top
| converse(composition(top,join(one,X0))) != complement(zero)
| converse(composition(top,join(one,X0))) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(one,X0))),complement(zero)) ),[1],$fot(top)]]) ).
cnf(refute_0_2147,plain,
( converse(composition(top,join(one,X0))) != complement(zero)
| converse(composition(top,join(one,X0))) = top ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1134,refute_0_2146]) ).
cnf(refute_0_2148,plain,
( join(complement(zero),composition(converse(X0),complement(zero))) != complement(zero)
| converse(composition(top,join(one,X0))) = top ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(one,X0))),complement(zero)) )],[refute_0_2145,refute_0_2147]) ).
cnf(refute_0_2149,plain,
converse(composition(top,join(one,X0))) = top,
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),complement(zero)) )],[refute_0_2010,refute_0_2148]) ).
cnf(refute_0_2150,plain,
converse(composition(top,join(one,converse(X_5)))) = top,
inference(subst,[],[refute_0_2149:[bind(X0,$fot(converse(X_5)))]]) ).
cnf(refute_0_2151,plain,
( converse(composition(top,join(one,converse(X_5)))) != top
| join(one,converse(X_5)) != converse(join(one,X_5))
| converse(composition(top,converse(join(one,X_5)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(one,converse(X_5)))),top) ),[0,0,1],$fot(converse(join(one,X_5)))]]) ).
cnf(refute_0_2152,plain,
( converse(composition(top,join(one,converse(X_5)))) != top
| converse(composition(top,converse(join(one,X_5)))) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(X_5)),converse(join(one,X_5))) )],[refute_0_1913,refute_0_2151]) ).
cnf(refute_0_2153,plain,
converse(composition(top,converse(join(one,X_5)))) = top,
inference(resolve,[$cnf( $equal(converse(composition(top,join(one,converse(X_5)))),top) )],[refute_0_2150,refute_0_2152]) ).
cnf(refute_0_2154,plain,
composition(join(one,X_5),converse(top)) = composition(join(one,X_5),converse(top)),
introduced(tautology,[refl,[$fot(composition(join(one,X_5),converse(top)))]]) ).
cnf(refute_0_2155,plain,
( composition(join(one,X_5),converse(top)) != composition(join(one,X_5),converse(top))
| converse(top) != top
| composition(join(one,X_5),converse(top)) = composition(join(one,X_5),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,X_5),converse(top)),composition(join(one,X_5),converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2156,plain,
( converse(top) != top
| composition(join(one,X_5),converse(top)) = composition(join(one,X_5),top) ),
inference(resolve,[$cnf( $equal(composition(join(one,X_5),converse(top)),composition(join(one,X_5),converse(top))) )],[refute_0_2154,refute_0_2155]) ).
cnf(refute_0_2157,plain,
composition(join(one,X_5),converse(top)) = composition(join(one,X_5),top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_851,refute_0_2156]) ).
cnf(refute_0_2158,plain,
converse(composition(top,converse(join(one,X_5)))) = composition(join(one,X_5),converse(top)),
inference(subst,[],[refute_0_1715:[bind(X0,$fot(join(one,X_5))),bind(X_6,$fot(top))]]) ).
cnf(refute_0_2159,plain,
( composition(join(one,X_5),converse(top)) != composition(join(one,X_5),top)
| converse(composition(top,converse(join(one,X_5)))) != composition(join(one,X_5),converse(top))
| converse(composition(top,converse(join(one,X_5)))) = composition(join(one,X_5),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(converse(composition(top,converse(join(one,X_5)))))),bind(Y,$fot(composition(join(one,X_5),converse(top)))),bind(Z,$fot(composition(join(one,X_5),top)))]]) ).
cnf(refute_0_2160,plain,
( composition(join(one,X_5),converse(top)) != composition(join(one,X_5),top)
| converse(composition(top,converse(join(one,X_5)))) = composition(join(one,X_5),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(join(one,X_5)))),composition(join(one,X_5),converse(top))) )],[refute_0_2158,refute_0_2159]) ).
cnf(refute_0_2161,plain,
converse(composition(top,converse(join(one,X_5)))) = composition(join(one,X_5),top),
inference(resolve,[$cnf( $equal(composition(join(one,X_5),converse(top)),composition(join(one,X_5),top)) )],[refute_0_2157,refute_0_2160]) ).
cnf(refute_0_2162,plain,
( converse(composition(top,converse(join(one,X_5)))) != composition(join(one,X_5),top)
| converse(composition(top,converse(join(one,X_5)))) != top
| composition(join(one,X_5),top) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,converse(join(one,X_5)))),top) ),[0],$fot(composition(join(one,X_5),top))]]) ).
cnf(refute_0_2163,plain,
( converse(composition(top,converse(join(one,X_5)))) != top
| composition(join(one,X_5),top) = top ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(join(one,X_5)))),composition(join(one,X_5),top)) )],[refute_0_2161,refute_0_2162]) ).
cnf(refute_0_2164,plain,
composition(join(one,X_5),top) = top,
inference(resolve,[$cnf( $equal(converse(composition(top,converse(join(one,X_5)))),top) )],[refute_0_2153,refute_0_2163]) ).
cnf(refute_0_2165,plain,
( composition(join(one,X_5),top) != top
| composition(skolemFOFtoCNF_X0,converse(composition(join(one,X_5),top))) != composition(skolemFOFtoCNF_X0,converse(join(one,X_5)))
| composition(skolemFOFtoCNF_X0,converse(top)) = composition(skolemFOFtoCNF_X0,converse(join(one,X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(composition(join(one,X_5),top))),composition(skolemFOFtoCNF_X0,converse(join(one,X_5)))) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_2166,plain,
( composition(skolemFOFtoCNF_X0,converse(composition(join(one,X_5),top))) != composition(skolemFOFtoCNF_X0,converse(join(one,X_5)))
| composition(skolemFOFtoCNF_X0,converse(top)) = composition(skolemFOFtoCNF_X0,converse(join(one,X_5))) ),
inference(resolve,[$cnf( $equal(composition(join(one,X_5),top),top) )],[refute_0_2164,refute_0_2165]) ).
cnf(refute_0_2167,plain,
composition(skolemFOFtoCNF_X0,converse(top)) = composition(skolemFOFtoCNF_X0,converse(join(one,X_5))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(composition(join(one,X_5),top))),composition(skolemFOFtoCNF_X0,converse(join(one,X_5)))) )],[refute_0_1889,refute_0_2166]) ).
cnf(refute_0_2168,plain,
composition(skolemFOFtoCNF_X0,converse(top)) = composition(skolemFOFtoCNF_X0,converse(top)),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,converse(top)))]]) ).
cnf(refute_0_2169,plain,
( composition(skolemFOFtoCNF_X0,converse(top)) != composition(skolemFOFtoCNF_X0,converse(top))
| converse(top) != top
| composition(skolemFOFtoCNF_X0,converse(top)) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(top)),composition(skolemFOFtoCNF_X0,converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2170,plain,
( converse(top) != top
| composition(skolemFOFtoCNF_X0,converse(top)) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(top)),composition(skolemFOFtoCNF_X0,converse(top))) )],[refute_0_2168,refute_0_2169]) ).
cnf(refute_0_2171,plain,
composition(skolemFOFtoCNF_X0,converse(top)) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_851,refute_0_2170]) ).
cnf(refute_0_2172,plain,
( composition(skolemFOFtoCNF_X0,converse(top)) != composition(skolemFOFtoCNF_X0,top)
| composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
| composition(skolemFOFtoCNF_X0,converse(top)) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(skolemFOFtoCNF_X0,converse(top)))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,top))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2173,plain,
( composition(skolemFOFtoCNF_X0,top) != skolemFOFtoCNF_X0
| composition(skolemFOFtoCNF_X0,converse(top)) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(top)),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_2171,refute_0_2172]) ).
cnf(refute_0_2174,plain,
composition(skolemFOFtoCNF_X0,converse(top)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,top),skolemFOFtoCNF_X0) )],[refute_0_1284,refute_0_2173]) ).
cnf(refute_0_2175,plain,
( composition(skolemFOFtoCNF_X0,converse(top)) != composition(skolemFOFtoCNF_X0,converse(join(one,X_5)))
| composition(skolemFOFtoCNF_X0,converse(top)) != skolemFOFtoCNF_X0
| skolemFOFtoCNF_X0 = composition(skolemFOFtoCNF_X0,converse(join(one,X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(top)),composition(skolemFOFtoCNF_X0,converse(join(one,X_5)))) ),[0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_2176,plain,
( composition(skolemFOFtoCNF_X0,converse(top)) != composition(skolemFOFtoCNF_X0,converse(join(one,X_5)))
| skolemFOFtoCNF_X0 = composition(skolemFOFtoCNF_X0,converse(join(one,X_5))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(top)),skolemFOFtoCNF_X0) )],[refute_0_2174,refute_0_2175]) ).
cnf(refute_0_2177,plain,
skolemFOFtoCNF_X0 = composition(skolemFOFtoCNF_X0,converse(join(one,X_5))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(top)),composition(skolemFOFtoCNF_X0,converse(join(one,X_5)))) )],[refute_0_2167,refute_0_2176]) ).
cnf(refute_0_2178,plain,
skolemFOFtoCNF_X0 = composition(skolemFOFtoCNF_X0,converse(join(one,X_413))),
inference(subst,[],[refute_0_2177:[bind(X_5,$fot(X_413))]]) ).
cnf(refute_0_2179,plain,
( skolemFOFtoCNF_X0 != composition(skolemFOFtoCNF_X0,converse(join(one,X_413)))
| composition(skolemFOFtoCNF_X0,converse(join(one,X_413))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(composition(skolemFOFtoCNF_X0,converse(join(one,X_413)))))]]) ).
cnf(refute_0_2180,plain,
composition(skolemFOFtoCNF_X0,converse(join(one,X_413))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,converse(join(one,X_413)))) )],[refute_0_2178,refute_0_2179]) ).
cnf(refute_0_2181,plain,
( composition(skolemFOFtoCNF_X0,converse(join(one,X_413))) != skolemFOFtoCNF_X0
| join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(composition(skolemFOFtoCNF_X0,converse(join(one,X_413))))))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(composition(skolemFOFtoCNF_X0,converse(join(one,X_413))))))),complement(converse(skolemFOFtoCNF_X0))) ),[0,1,1,0,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_2182,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(composition(skolemFOFtoCNF_X0,converse(join(one,X_413))))))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(join(one,X_413))),skolemFOFtoCNF_X0) )],[refute_0_2180,refute_0_2181]) ).
cnf(refute_0_2183,plain,
join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(composition(skolemFOFtoCNF_X0,converse(join(one,X_413))))))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_1877,refute_0_2182]) ).
cnf(refute_0_2184,plain,
join(one,join(one,X_413)) = join(one,X_413),
inference(subst,[],[refute_0_2125:[bind(X1,$fot(one)),bind(X2,$fot(X_413))]]) ).
cnf(refute_0_2185,plain,
converse(join(one,join(one,X_413))) = converse(join(one,join(one,X_413))),
introduced(tautology,[refl,[$fot(converse(join(one,join(one,X_413))))]]) ).
cnf(refute_0_2186,plain,
( converse(join(one,join(one,X_413))) != converse(join(one,join(one,X_413)))
| join(one,join(one,X_413)) != join(one,X_413)
| converse(join(one,join(one,X_413))) = converse(join(one,X_413)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,X_413))),converse(join(one,join(one,X_413)))) ),[1,0],$fot(join(one,X_413))]]) ).
cnf(refute_0_2187,plain,
( join(one,join(one,X_413)) != join(one,X_413)
| converse(join(one,join(one,X_413))) = converse(join(one,X_413)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,X_413))),converse(join(one,join(one,X_413)))) )],[refute_0_2185,refute_0_2186]) ).
cnf(refute_0_2188,plain,
converse(join(one,join(one,X_413))) = converse(join(one,X_413)),
inference(resolve,[$cnf( $equal(join(one,join(one,X_413)),join(one,X_413)) )],[refute_0_2184,refute_0_2187]) ).
cnf(refute_0_2189,plain,
join(one,converse(join(one,X_413))) = converse(join(one,join(one,X_413))),
inference(subst,[],[refute_0_1913:[bind(X_5,$fot(join(one,X_413)))]]) ).
cnf(refute_0_2190,plain,
( converse(join(one,join(one,X_413))) != converse(join(one,X_413))
| join(one,converse(join(one,X_413))) != converse(join(one,join(one,X_413)))
| join(one,converse(join(one,X_413))) = converse(join(one,X_413)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(one,converse(join(one,X_413))))),bind(Y,$fot(converse(join(one,join(one,X_413))))),bind(Z,$fot(converse(join(one,X_413))))]]) ).
cnf(refute_0_2191,plain,
( converse(join(one,join(one,X_413))) != converse(join(one,X_413))
| join(one,converse(join(one,X_413))) = converse(join(one,X_413)) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,X_413))),converse(join(one,join(one,X_413)))) )],[refute_0_2189,refute_0_2190]) ).
cnf(refute_0_2192,plain,
join(one,converse(join(one,X_413))) = converse(join(one,X_413)),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,X_413))),converse(join(one,X_413))) )],[refute_0_2188,refute_0_2191]) ).
cnf(refute_0_2193,plain,
composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))) = composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2194,plain,
( composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))) != composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0)))
| join(one,converse(join(one,X_413))) != converse(join(one,X_413))
| composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))) = composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))),composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(converse(join(one,X_413)))]]) ).
cnf(refute_0_2195,plain,
( join(one,converse(join(one,X_413))) != converse(join(one,X_413))
| composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))) = composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))),composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2193,refute_0_2194]) ).
cnf(refute_0_2196,plain,
composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))) = composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,X_413))),converse(join(one,X_413))) )],[refute_0_2192,refute_0_2195]) ).
cnf(refute_0_2197,plain,
converse(join(X_4,converse(composition(converse(X_13),X_14)))) = join(converse(X_4),composition(converse(X_13),X_14)),
inference(subst,[],[refute_0_668:[bind(X0,$fot(composition(converse(X_13),X_14)))]]) ).
cnf(refute_0_2198,plain,
converse(composition(converse(X_13),X_14)) = composition(converse(X_14),X_13),
inference(subst,[],[refute_0_114:[bind(X0,$fot(X_13)),bind(X_7,$fot(X_14))]]) ).
cnf(refute_0_2199,plain,
( converse(composition(converse(X_13),X_14)) != composition(converse(X_14),X_13)
| converse(join(X_4,converse(composition(converse(X_13),X_14)))) != join(converse(X_4),composition(converse(X_13),X_14))
| converse(join(X_4,composition(converse(X_14),X_13))) = join(converse(X_4),composition(converse(X_13),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(composition(converse(X_13),X_14)))),join(converse(X_4),composition(converse(X_13),X_14))) ),[0,0,1],$fot(composition(converse(X_14),X_13))]]) ).
cnf(refute_0_2200,plain,
( converse(join(X_4,converse(composition(converse(X_13),X_14)))) != join(converse(X_4),composition(converse(X_13),X_14))
| converse(join(X_4,composition(converse(X_14),X_13))) = join(converse(X_4),composition(converse(X_13),X_14)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_13),X_14)),composition(converse(X_14),X_13)) )],[refute_0_2198,refute_0_2199]) ).
cnf(refute_0_2201,plain,
converse(join(X_4,composition(converse(X_14),X_13))) = join(converse(X_4),composition(converse(X_13),X_14)),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(composition(converse(X_13),X_14)))),join(converse(X_4),composition(converse(X_13),X_14))) )],[refute_0_2197,refute_0_2200]) ).
cnf(refute_0_2202,plain,
converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))) = join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)),
inference(subst,[],[refute_0_2201:[bind(X_13,$fot(converse(X_317))),bind(X_4,$fot(converse(X_14)))]]) ).
cnf(refute_0_2203,plain,
converse(join(converse(X0),composition(X_175,converse(X0)))) = join(X0,converse(composition(X_175,converse(X0)))),
inference(subst,[],[refute_0_655:[bind(X_5,$fot(composition(X_175,converse(X0))))]]) ).
cnf(refute_0_2204,plain,
composition(join(X_175,one),converse(X0)) = join(converse(X0),composition(X_175,converse(X0))),
inference(subst,[],[refute_0_1951:[bind(X_58,$fot(X_175)),bind(X_60,$fot(converse(X0)))]]) ).
cnf(refute_0_2205,plain,
( composition(join(X_175,one),converse(X0)) != join(converse(X0),composition(X_175,converse(X0)))
| join(converse(X0),composition(X_175,converse(X0))) = composition(join(X_175,one),converse(X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_175,one),converse(X0)))),bind(Y,$fot(join(converse(X0),composition(X_175,converse(X0)))))]]) ).
cnf(refute_0_2206,plain,
join(converse(X0),composition(X_175,converse(X0))) = composition(join(X_175,one),converse(X0)),
inference(resolve,[$cnf( $equal(composition(join(X_175,one),converse(X0)),join(converse(X0),composition(X_175,converse(X0)))) )],[refute_0_2204,refute_0_2205]) ).
cnf(refute_0_2207,plain,
( converse(join(converse(X0),composition(X_175,converse(X0)))) != join(X0,converse(composition(X_175,converse(X0))))
| join(converse(X0),composition(X_175,converse(X0))) != composition(join(X_175,one),converse(X0))
| converse(composition(join(X_175,one),converse(X0))) = join(X0,converse(composition(X_175,converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),composition(X_175,converse(X0)))),join(X0,converse(composition(X_175,converse(X0))))) ),[0,0],$fot(composition(join(X_175,one),converse(X0)))]]) ).
cnf(refute_0_2208,plain,
( converse(join(converse(X0),composition(X_175,converse(X0)))) != join(X0,converse(composition(X_175,converse(X0))))
| converse(composition(join(X_175,one),converse(X0))) = join(X0,converse(composition(X_175,converse(X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),composition(X_175,converse(X0))),composition(join(X_175,one),converse(X0))) )],[refute_0_2206,refute_0_2207]) ).
cnf(refute_0_2209,plain,
converse(composition(join(X_175,one),converse(X0))) = join(X0,converse(composition(X_175,converse(X0)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),composition(X_175,converse(X0)))),join(X0,converse(composition(X_175,converse(X0))))) )],[refute_0_2203,refute_0_2208]) ).
cnf(refute_0_2210,plain,
converse(composition(join(X_175,one),converse(X0))) = composition(X0,converse(join(X_175,one))),
inference(subst,[],[refute_0_1715:[bind(X_6,$fot(join(X_175,one)))]]) ).
cnf(refute_0_2211,plain,
( converse(composition(join(X_175,one),converse(X0))) != composition(X0,converse(join(X_175,one)))
| converse(composition(join(X_175,one),converse(X0))) != join(X0,converse(composition(X_175,converse(X0))))
| composition(X0,converse(join(X_175,one))) = join(X0,converse(composition(X_175,converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_175,one),converse(X0))),join(X0,converse(composition(X_175,converse(X0))))) ),[0],$fot(composition(X0,converse(join(X_175,one))))]]) ).
cnf(refute_0_2212,plain,
( converse(composition(join(X_175,one),converse(X0))) != join(X0,converse(composition(X_175,converse(X0))))
| composition(X0,converse(join(X_175,one))) = join(X0,converse(composition(X_175,converse(X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(X_175,one),converse(X0))),composition(X0,converse(join(X_175,one)))) )],[refute_0_2210,refute_0_2211]) ).
cnf(refute_0_2213,plain,
converse(composition(X_175,converse(X0))) = composition(X0,converse(X_175)),
inference(subst,[],[refute_0_1715:[bind(X_6,$fot(X_175))]]) ).
cnf(refute_0_2214,plain,
join(X0,converse(composition(X_175,converse(X0)))) = join(X0,converse(composition(X_175,converse(X0)))),
introduced(tautology,[refl,[$fot(join(X0,converse(composition(X_175,converse(X0)))))]]) ).
cnf(refute_0_2215,plain,
( converse(composition(X_175,converse(X0))) != composition(X0,converse(X_175))
| join(X0,converse(composition(X_175,converse(X0)))) != join(X0,converse(composition(X_175,converse(X0))))
| join(X0,converse(composition(X_175,converse(X0)))) = join(X0,composition(X0,converse(X_175))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(composition(X_175,converse(X0)))),join(X0,converse(composition(X_175,converse(X0))))) ),[1,1],$fot(composition(X0,converse(X_175)))]]) ).
cnf(refute_0_2216,plain,
( converse(composition(X_175,converse(X0))) != composition(X0,converse(X_175))
| join(X0,converse(composition(X_175,converse(X0)))) = join(X0,composition(X0,converse(X_175))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(composition(X_175,converse(X0)))),join(X0,converse(composition(X_175,converse(X0))))) )],[refute_0_2214,refute_0_2215]) ).
cnf(refute_0_2217,plain,
join(X0,converse(composition(X_175,converse(X0)))) = join(X0,composition(X0,converse(X_175))),
inference(resolve,[$cnf( $equal(converse(composition(X_175,converse(X0))),composition(X0,converse(X_175))) )],[refute_0_2213,refute_0_2216]) ).
cnf(refute_0_2218,plain,
( composition(X0,converse(join(X_175,one))) != join(X0,converse(composition(X_175,converse(X0))))
| join(X0,converse(composition(X_175,converse(X0)))) != join(X0,composition(X0,converse(X_175)))
| composition(X0,converse(join(X_175,one))) = join(X0,composition(X0,converse(X_175))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X0,converse(join(X_175,one))),join(X0,composition(X0,converse(X_175)))) ),[0],$fot(join(X0,converse(composition(X_175,converse(X0)))))]]) ).
cnf(refute_0_2219,plain,
( composition(X0,converse(join(X_175,one))) != join(X0,converse(composition(X_175,converse(X0))))
| composition(X0,converse(join(X_175,one))) = join(X0,composition(X0,converse(X_175))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(composition(X_175,converse(X0)))),join(X0,composition(X0,converse(X_175)))) )],[refute_0_2217,refute_0_2218]) ).
cnf(refute_0_2220,plain,
( converse(composition(join(X_175,one),converse(X0))) != join(X0,converse(composition(X_175,converse(X0))))
| composition(X0,converse(join(X_175,one))) = join(X0,composition(X0,converse(X_175))) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(X_175,one))),join(X0,converse(composition(X_175,converse(X0))))) )],[refute_0_2212,refute_0_2219]) ).
cnf(refute_0_2221,plain,
composition(X0,converse(join(X_175,one))) = join(X0,composition(X0,converse(X_175))),
inference(resolve,[$cnf( $equal(converse(composition(join(X_175,one),converse(X0))),join(X0,converse(composition(X_175,converse(X0))))) )],[refute_0_2209,refute_0_2220]) ).
cnf(refute_0_2222,plain,
composition(converse(X_14),converse(join(X_317,one))) = join(converse(X_14),composition(converse(X_14),converse(X_317))),
inference(subst,[],[refute_0_2221:[bind(X0,$fot(converse(X_14))),bind(X_175,$fot(X_317))]]) ).
cnf(refute_0_2223,plain,
( composition(converse(X_14),converse(join(X_317,one))) != join(converse(X_14),composition(converse(X_14),converse(X_317)))
| join(converse(X_14),composition(converse(X_14),converse(X_317))) = composition(converse(X_14),converse(join(X_317,one))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(converse(X_14),converse(join(X_317,one))))),bind(Y,$fot(join(converse(X_14),composition(converse(X_14),converse(X_317)))))]]) ).
cnf(refute_0_2224,plain,
join(converse(X_14),composition(converse(X_14),converse(X_317))) = composition(converse(X_14),converse(join(X_317,one))),
inference(resolve,[$cnf( $equal(composition(converse(X_14),converse(join(X_317,one))),join(converse(X_14),composition(converse(X_14),converse(X_317)))) )],[refute_0_2222,refute_0_2223]) ).
cnf(refute_0_2225,plain,
( converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))) != join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14))
| join(converse(X_14),composition(converse(X_14),converse(X_317))) != composition(converse(X_14),converse(join(X_317,one)))
| converse(composition(converse(X_14),converse(join(X_317,one)))) = join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))),join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14))) ),[0,0],$fot(composition(converse(X_14),converse(join(X_317,one))))]]) ).
cnf(refute_0_2226,plain,
( converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))) != join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14))
| converse(composition(converse(X_14),converse(join(X_317,one)))) = join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)) ),
inference(resolve,[$cnf( $equal(join(converse(X_14),composition(converse(X_14),converse(X_317))),composition(converse(X_14),converse(join(X_317,one)))) )],[refute_0_2224,refute_0_2225]) ).
cnf(refute_0_2227,plain,
converse(composition(converse(X_14),converse(join(X_317,one)))) = join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)),
inference(resolve,[$cnf( $equal(converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))),join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14))) )],[refute_0_2202,refute_0_2226]) ).
cnf(refute_0_2228,plain,
converse(converse(X_14)) = X_14,
inference(subst,[],[refute_0_18:[bind(X0,$fot(X_14))]]) ).
cnf(refute_0_2229,plain,
composition(join(X_317,one),converse(converse(X_14))) = composition(join(X_317,one),converse(converse(X_14))),
introduced(tautology,[refl,[$fot(composition(join(X_317,one),converse(converse(X_14))))]]) ).
cnf(refute_0_2230,plain,
( composition(join(X_317,one),converse(converse(X_14))) != composition(join(X_317,one),converse(converse(X_14)))
| converse(converse(X_14)) != X_14
| composition(join(X_317,one),converse(converse(X_14))) = composition(join(X_317,one),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_317,one),converse(converse(X_14))),composition(join(X_317,one),converse(converse(X_14)))) ),[1,1],$fot(X_14)]]) ).
cnf(refute_0_2231,plain,
( converse(converse(X_14)) != X_14
| composition(join(X_317,one),converse(converse(X_14))) = composition(join(X_317,one),X_14) ),
inference(resolve,[$cnf( $equal(composition(join(X_317,one),converse(converse(X_14))),composition(join(X_317,one),converse(converse(X_14)))) )],[refute_0_2229,refute_0_2230]) ).
cnf(refute_0_2232,plain,
composition(join(X_317,one),converse(converse(X_14))) = composition(join(X_317,one),X_14),
inference(resolve,[$cnf( $equal(converse(converse(X_14)),X_14) )],[refute_0_2228,refute_0_2231]) ).
cnf(refute_0_2233,plain,
converse(composition(converse(X_14),converse(join(X_317,one)))) = composition(join(X_317,one),converse(converse(X_14))),
inference(subst,[],[refute_0_1715:[bind(X0,$fot(join(X_317,one))),bind(X_6,$fot(converse(X_14)))]]) ).
cnf(refute_0_2234,plain,
( composition(join(X_317,one),converse(converse(X_14))) != composition(join(X_317,one),X_14)
| converse(composition(converse(X_14),converse(join(X_317,one)))) != composition(join(X_317,one),converse(converse(X_14)))
| converse(composition(converse(X_14),converse(join(X_317,one)))) = composition(join(X_317,one),X_14) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(converse(composition(converse(X_14),converse(join(X_317,one)))))),bind(Y,$fot(composition(join(X_317,one),converse(converse(X_14))))),bind(Z,$fot(composition(join(X_317,one),X_14)))]]) ).
cnf(refute_0_2235,plain,
( composition(join(X_317,one),converse(converse(X_14))) != composition(join(X_317,one),X_14)
| converse(composition(converse(X_14),converse(join(X_317,one)))) = composition(join(X_317,one),X_14) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_14),converse(join(X_317,one)))),composition(join(X_317,one),converse(converse(X_14)))) )],[refute_0_2233,refute_0_2234]) ).
cnf(refute_0_2236,plain,
converse(composition(converse(X_14),converse(join(X_317,one)))) = composition(join(X_317,one),X_14),
inference(resolve,[$cnf( $equal(composition(join(X_317,one),converse(converse(X_14))),composition(join(X_317,one),X_14)) )],[refute_0_2232,refute_0_2235]) ).
cnf(refute_0_2237,plain,
( converse(composition(converse(X_14),converse(join(X_317,one)))) != composition(join(X_317,one),X_14)
| converse(composition(converse(X_14),converse(join(X_317,one)))) != join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14))
| composition(join(X_317,one),X_14) = join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_14),converse(join(X_317,one)))),join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14))) ),[0],$fot(composition(join(X_317,one),X_14))]]) ).
cnf(refute_0_2238,plain,
( converse(composition(converse(X_14),converse(join(X_317,one)))) != join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14))
| composition(join(X_317,one),X_14) = join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_14),converse(join(X_317,one)))),composition(join(X_317,one),X_14)) )],[refute_0_2236,refute_0_2237]) ).
cnf(refute_0_2239,plain,
join(converse(one),X_317) = join(converse(one),X_317),
introduced(tautology,[refl,[$fot(join(converse(one),X_317))]]) ).
cnf(refute_0_2240,plain,
( converse(one) != one
| join(converse(one),X_317) != join(converse(one),X_317)
| join(converse(one),X_317) = join(one,X_317) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X_317),join(converse(one),X_317)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2241,plain,
( converse(one) != one
| join(converse(one),X_317) = join(one,X_317) ),
inference(resolve,[$cnf( $equal(join(converse(one),X_317),join(converse(one),X_317)) )],[refute_0_2239,refute_0_2240]) ).
cnf(refute_0_2242,plain,
join(converse(one),X_317) = join(one,X_317),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_131,refute_0_2241]) ).
cnf(refute_0_2243,plain,
converse(join(one,converse(X_317))) = join(converse(one),X_317),
inference(subst,[],[refute_0_668:[bind(X0,$fot(X_317)),bind(X_4,$fot(one))]]) ).
cnf(refute_0_2244,plain,
( converse(join(one,converse(X_317))) != join(converse(one),X_317)
| join(converse(one),X_317) != join(one,X_317)
| converse(join(one,converse(X_317))) = join(one,X_317) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(converse(join(one,converse(X_317))))),bind(Y,$fot(join(converse(one),X_317))),bind(Z,$fot(join(one,X_317)))]]) ).
cnf(refute_0_2245,plain,
( join(converse(one),X_317) != join(one,X_317)
| converse(join(one,converse(X_317))) = join(one,X_317) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X_317))),join(converse(one),X_317)) )],[refute_0_2243,refute_0_2244]) ).
cnf(refute_0_2246,plain,
converse(join(one,converse(X_317))) = join(one,X_317),
inference(resolve,[$cnf( $equal(join(converse(one),X_317),join(one,X_317)) )],[refute_0_2242,refute_0_2245]) ).
cnf(refute_0_2247,plain,
composition(converse(join(one,converse(X_317))),X_14) = composition(converse(join(one,converse(X_317))),X_14),
introduced(tautology,[refl,[$fot(composition(converse(join(one,converse(X_317))),X_14))]]) ).
cnf(refute_0_2248,plain,
( composition(converse(join(one,converse(X_317))),X_14) != composition(converse(join(one,converse(X_317))),X_14)
| converse(join(one,converse(X_317))) != join(one,X_317)
| composition(converse(join(one,converse(X_317))),X_14) = composition(join(one,X_317),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(one,converse(X_317))),X_14),composition(converse(join(one,converse(X_317))),X_14)) ),[1,0],$fot(join(one,X_317))]]) ).
cnf(refute_0_2249,plain,
( converse(join(one,converse(X_317))) != join(one,X_317)
| composition(converse(join(one,converse(X_317))),X_14) = composition(join(one,X_317),X_14) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,converse(X_317))),X_14),composition(converse(join(one,converse(X_317))),X_14)) )],[refute_0_2247,refute_0_2248]) ).
cnf(refute_0_2250,plain,
composition(converse(join(one,converse(X_317))),X_14) = composition(join(one,X_317),X_14),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X_317))),join(one,X_317)) )],[refute_0_2246,refute_0_2249]) ).
cnf(refute_0_2251,plain,
converse(composition(converse(X_14),join(one,converse(X_317)))) = composition(converse(join(one,converse(X_317))),X_14),
inference(subst,[],[refute_0_114:[bind(X0,$fot(X_14)),bind(X_7,$fot(join(one,converse(X_317))))]]) ).
cnf(refute_0_2252,plain,
composition(join(converse(X1),one),converse(X0)) = join(converse(X0),composition(converse(X1),converse(X0))),
inference(subst,[],[refute_0_1951:[bind(X_58,$fot(converse(X1))),bind(X_60,$fot(converse(X0)))]]) ).
cnf(refute_0_2253,plain,
( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| composition(join(converse(X1),one),converse(X0)) != join(converse(X0),composition(converse(X1),converse(X0)))
| composition(join(converse(X1),one),converse(X0)) = join(converse(X0),converse(composition(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),composition(converse(X1),converse(X0)))) ),[1,1],$fot(converse(composition(X0,X1)))]]) ).
cnf(refute_0_2254,plain,
( composition(join(converse(X1),one),converse(X0)) != join(converse(X0),composition(converse(X1),converse(X0)))
| composition(join(converse(X1),one),converse(X0)) = join(converse(X0),converse(composition(X0,X1))) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_0_14,refute_0_2253]) ).
cnf(refute_0_2255,plain,
composition(join(converse(X1),one),converse(X0)) = join(converse(X0),converse(composition(X0,X1))),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),composition(converse(X1),converse(X0)))) )],[refute_0_2252,refute_0_2254]) ).
cnf(refute_0_2256,plain,
join(converse(one),X1) = join(converse(one),X1),
introduced(tautology,[refl,[$fot(join(converse(one),X1))]]) ).
cnf(refute_0_2257,plain,
( converse(one) != one
| join(converse(one),X1) != join(converse(one),X1)
| join(converse(one),X1) = join(one,X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X1),join(converse(one),X1)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2258,plain,
( converse(one) != one
| join(converse(one),X1) = join(one,X1) ),
inference(resolve,[$cnf( $equal(join(converse(one),X1),join(converse(one),X1)) )],[refute_0_2256,refute_0_2257]) ).
cnf(refute_0_2259,plain,
join(converse(one),X1) = join(one,X1),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_131,refute_0_2258]) ).
cnf(refute_0_2260,plain,
composition(X0,join(converse(one),X1)) = composition(X0,join(converse(one),X1)),
introduced(tautology,[refl,[$fot(composition(X0,join(converse(one),X1)))]]) ).
cnf(refute_0_2261,plain,
( composition(X0,join(converse(one),X1)) != composition(X0,join(converse(one),X1))
| join(converse(one),X1) != join(one,X1)
| composition(X0,join(converse(one),X1)) = composition(X0,join(one,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,join(converse(one),X1)),composition(X0,join(converse(one),X1))) ),[1,1],$fot(join(one,X1))]]) ).
cnf(refute_0_2262,plain,
( join(converse(one),X1) != join(one,X1)
| composition(X0,join(converse(one),X1)) = composition(X0,join(one,X1)) ),
inference(resolve,[$cnf( $equal(composition(X0,join(converse(one),X1)),composition(X0,join(converse(one),X1))) )],[refute_0_2260,refute_0_2261]) ).
cnf(refute_0_2263,plain,
composition(X0,join(converse(one),X1)) = composition(X0,join(one,X1)),
inference(resolve,[$cnf( $equal(join(converse(one),X1),join(one,X1)) )],[refute_0_2259,refute_0_2262]) ).
cnf(refute_0_2264,plain,
converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(converse(one),X1))),
introduced(tautology,[refl,[$fot(converse(composition(X0,join(converse(one),X1))))]]) ).
cnf(refute_0_2265,plain,
( composition(X0,join(converse(one),X1)) != composition(X0,join(one,X1))
| converse(composition(X0,join(converse(one),X1))) != converse(composition(X0,join(converse(one),X1)))
| converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(one,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,join(converse(one),X1))),converse(composition(X0,join(converse(one),X1)))) ),[1,0],$fot(composition(X0,join(one,X1)))]]) ).
cnf(refute_0_2266,plain,
( composition(X0,join(converse(one),X1)) != composition(X0,join(one,X1))
| converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(one,X1))) ),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(converse(one),X1))),converse(composition(X0,join(converse(one),X1)))) )],[refute_0_2264,refute_0_2265]) ).
cnf(refute_0_2267,plain,
converse(composition(X0,join(converse(one),X1))) = converse(composition(X0,join(one,X1))),
inference(resolve,[$cnf( $equal(composition(X0,join(converse(one),X1)),composition(X0,join(one,X1))) )],[refute_0_2263,refute_0_2266]) ).
cnf(refute_0_2268,plain,
converse(composition(X0,join(converse(X_10),X_11))) = composition(converse(join(converse(X_10),X_11)),converse(X0)),
inference(subst,[],[refute_0_12:[bind(X1,$fot(join(converse(X_10),X_11)))]]) ).
cnf(refute_0_2269,plain,
converse(join(converse(X_10),X_11)) = join(X_10,converse(X_11)),
inference(subst,[],[refute_0_655:[bind(X0,$fot(X_10)),bind(X_5,$fot(X_11))]]) ).
cnf(refute_0_2270,plain,
( converse(composition(X0,join(converse(X_10),X_11))) != composition(converse(join(converse(X_10),X_11)),converse(X0))
| converse(join(converse(X_10),X_11)) != join(X_10,converse(X_11))
| converse(composition(X0,join(converse(X_10),X_11))) = composition(join(X_10,converse(X_11)),converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,join(converse(X_10),X_11))),composition(converse(join(converse(X_10),X_11)),converse(X0))) ),[1,0],$fot(join(X_10,converse(X_11)))]]) ).
cnf(refute_0_2271,plain,
( converse(composition(X0,join(converse(X_10),X_11))) != composition(converse(join(converse(X_10),X_11)),converse(X0))
| converse(composition(X0,join(converse(X_10),X_11))) = composition(join(X_10,converse(X_11)),converse(X0)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_10),X_11)),join(X_10,converse(X_11))) )],[refute_0_2269,refute_0_2270]) ).
cnf(refute_0_2272,plain,
converse(composition(X0,join(converse(X_10),X_11))) = composition(join(X_10,converse(X_11)),converse(X0)),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(converse(X_10),X_11))),composition(converse(join(converse(X_10),X_11)),converse(X0))) )],[refute_0_2268,refute_0_2271]) ).
cnf(refute_0_2273,plain,
( converse(composition(X0,join(converse(X_10),X_11))) != composition(join(X_10,converse(X_11)),converse(X0))
| composition(join(X_10,converse(X_11)),converse(X0)) = converse(composition(X0,join(converse(X_10),X_11))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X0,join(converse(X_10),X_11))))),bind(Y,$fot(composition(join(X_10,converse(X_11)),converse(X0))))]]) ).
cnf(refute_0_2274,plain,
composition(join(X_10,converse(X_11)),converse(X0)) = converse(composition(X0,join(converse(X_10),X_11))),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(converse(X_10),X_11))),composition(join(X_10,converse(X_11)),converse(X0))) )],[refute_0_2272,refute_0_2273]) ).
cnf(refute_0_2275,plain,
composition(join(one,converse(X1)),converse(X0)) = converse(composition(X0,join(converse(one),X1))),
inference(subst,[],[refute_0_2274:[bind(X_10,$fot(one)),bind(X_11,$fot(X1))]]) ).
cnf(refute_0_2276,plain,
composition(join(X_175,one),X_176) = join(X_176,composition(X_175,X_176)),
inference(subst,[],[refute_0_1951:[bind(X_58,$fot(X_175)),bind(X_60,$fot(X_176))]]) ).
cnf(refute_0_2277,plain,
join(one,X_175) = join(X_175,one),
inference(subst,[],[refute_0_1:[bind(X0,$fot(one)),bind(X1,$fot(X_175))]]) ).
cnf(refute_0_2278,plain,
( join(one,X_175) != join(X_175,one)
| join(X_175,one) = join(one,X_175) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(one,X_175))),bind(Y,$fot(join(X_175,one)))]]) ).
cnf(refute_0_2279,plain,
join(X_175,one) = join(one,X_175),
inference(resolve,[$cnf( $equal(join(one,X_175),join(X_175,one)) )],[refute_0_2277,refute_0_2278]) ).
cnf(refute_0_2280,plain,
( composition(join(X_175,one),X_176) != join(X_176,composition(X_175,X_176))
| join(X_175,one) != join(one,X_175)
| composition(join(one,X_175),X_176) = join(X_176,composition(X_175,X_176)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_175,one),X_176),join(X_176,composition(X_175,X_176))) ),[0,0],$fot(join(one,X_175))]]) ).
cnf(refute_0_2281,plain,
( composition(join(X_175,one),X_176) != join(X_176,composition(X_175,X_176))
| composition(join(one,X_175),X_176) = join(X_176,composition(X_175,X_176)) ),
inference(resolve,[$cnf( $equal(join(X_175,one),join(one,X_175)) )],[refute_0_2279,refute_0_2280]) ).
cnf(refute_0_2282,plain,
composition(join(one,X_175),X_176) = join(X_176,composition(X_175,X_176)),
inference(resolve,[$cnf( $equal(composition(join(X_175,one),X_176),join(X_176,composition(X_175,X_176))) )],[refute_0_2276,refute_0_2281]) ).
cnf(refute_0_2283,plain,
join(X_176,composition(X_175,X_176)) = composition(join(X_175,one),X_176),
inference(subst,[],[refute_0_1953:[bind(X_58,$fot(X_175)),bind(X_60,$fot(X_176))]]) ).
cnf(refute_0_2284,plain,
( composition(join(one,X_175),X_176) != join(X_176,composition(X_175,X_176))
| join(X_176,composition(X_175,X_176)) != composition(join(X_175,one),X_176)
| composition(join(one,X_175),X_176) = composition(join(X_175,one),X_176) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X_175),X_176),composition(join(X_175,one),X_176)) ),[0],$fot(join(X_176,composition(X_175,X_176)))]]) ).
cnf(refute_0_2285,plain,
( composition(join(one,X_175),X_176) != join(X_176,composition(X_175,X_176))
| composition(join(one,X_175),X_176) = composition(join(X_175,one),X_176) ),
inference(resolve,[$cnf( $equal(join(X_176,composition(X_175,X_176)),composition(join(X_175,one),X_176)) )],[refute_0_2283,refute_0_2284]) ).
cnf(refute_0_2286,plain,
composition(join(one,X_175),X_176) = composition(join(X_175,one),X_176),
inference(resolve,[$cnf( $equal(composition(join(one,X_175),X_176),join(X_176,composition(X_175,X_176))) )],[refute_0_2282,refute_0_2285]) ).
cnf(refute_0_2287,plain,
( composition(join(one,X_175),X_176) != composition(join(X_175,one),X_176)
| composition(join(X_175,one),X_176) = composition(join(one,X_175),X_176) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(one,X_175),X_176))),bind(Y,$fot(composition(join(X_175,one),X_176)))]]) ).
cnf(refute_0_2288,plain,
composition(join(X_175,one),X_176) = composition(join(one,X_175),X_176),
inference(resolve,[$cnf( $equal(composition(join(one,X_175),X_176),composition(join(X_175,one),X_176)) )],[refute_0_2286,refute_0_2287]) ).
cnf(refute_0_2289,plain,
composition(join(converse(X1),one),converse(X0)) = composition(join(one,converse(X1)),converse(X0)),
inference(subst,[],[refute_0_2288:[bind(X_175,$fot(converse(X1))),bind(X_176,$fot(converse(X0)))]]) ).
cnf(refute_0_2290,plain,
( composition(join(converse(X1),one),converse(X0)) != composition(join(one,converse(X1)),converse(X0))
| composition(join(one,converse(X1)),converse(X0)) != converse(composition(X0,join(converse(one),X1)))
| composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(converse(one),X1))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(join(converse(X1),one),converse(X0)))),bind(Y,$fot(composition(join(one,converse(X1)),converse(X0)))),bind(Z,$fot(converse(composition(X0,join(converse(one),X1)))))]]) ).
cnf(refute_0_2291,plain,
( composition(join(one,converse(X1)),converse(X0)) != converse(composition(X0,join(converse(one),X1)))
| composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(converse(one),X1))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),composition(join(one,converse(X1)),converse(X0))) )],[refute_0_2289,refute_0_2290]) ).
cnf(refute_0_2292,plain,
composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(converse(one),X1))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X1)),converse(X0)),converse(composition(X0,join(converse(one),X1)))) )],[refute_0_2275,refute_0_2291]) ).
cnf(refute_0_2293,plain,
( composition(join(converse(X1),one),converse(X0)) != converse(composition(X0,join(converse(one),X1)))
| converse(composition(X0,join(converse(one),X1))) != converse(composition(X0,join(one,X1)))
| composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(one,X1))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(join(converse(X1),one),converse(X0)))),bind(Y,$fot(converse(composition(X0,join(converse(one),X1))))),bind(Z,$fot(converse(composition(X0,join(one,X1)))))]]) ).
cnf(refute_0_2294,plain,
( converse(composition(X0,join(converse(one),X1))) != converse(composition(X0,join(one,X1)))
| composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(one,X1))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),converse(composition(X0,join(converse(one),X1)))) )],[refute_0_2292,refute_0_2293]) ).
cnf(refute_0_2295,plain,
composition(join(converse(X1),one),converse(X0)) = converse(composition(X0,join(one,X1))),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(converse(one),X1))),converse(composition(X0,join(one,X1)))) )],[refute_0_2267,refute_0_2294]) ).
cnf(refute_0_2296,plain,
( composition(join(converse(X1),one),converse(X0)) != converse(composition(X0,join(one,X1)))
| composition(join(converse(X1),one),converse(X0)) != join(converse(X0),converse(composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = join(converse(X0),converse(composition(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),converse(composition(X0,X1)))) ),[0],$fot(converse(composition(X0,join(one,X1))))]]) ).
cnf(refute_0_2297,plain,
( composition(join(converse(X1),one),converse(X0)) != join(converse(X0),converse(composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = join(converse(X0),converse(composition(X0,X1))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),converse(composition(X0,join(one,X1)))) )],[refute_0_2295,refute_0_2296]) ).
cnf(refute_0_2298,plain,
join(converse(X0),converse(composition(X0,X1))) = converse(join(X0,composition(X0,X1))),
inference(subst,[],[refute_0_673:[bind(X1,$fot(composition(X0,X1)))]]) ).
cnf(refute_0_2299,plain,
( converse(composition(X0,join(one,X1))) != join(converse(X0),converse(composition(X0,X1)))
| join(converse(X0),converse(composition(X0,X1))) != converse(join(X0,composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(X0,join(one,X1))),converse(join(X0,composition(X0,X1)))) ),[0],$fot(join(converse(X0),converse(composition(X0,X1))))]]) ).
cnf(refute_0_2300,plain,
( converse(composition(X0,join(one,X1))) != join(converse(X0),converse(composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(composition(X0,X1))),converse(join(X0,composition(X0,X1)))) )],[refute_0_2298,refute_0_2299]) ).
cnf(refute_0_2301,plain,
( composition(join(converse(X1),one),converse(X0)) != join(converse(X0),converse(composition(X0,X1)))
| converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))) ),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(one,X1))),join(converse(X0),converse(composition(X0,X1)))) )],[refute_0_2297,refute_0_2300]) ).
cnf(refute_0_2302,plain,
converse(composition(X0,join(one,X1))) = converse(join(X0,composition(X0,X1))),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),one),converse(X0)),join(converse(X0),converse(composition(X0,X1)))) )],[refute_0_2255,refute_0_2301]) ).
cnf(refute_0_2303,plain,
( converse(composition(X0,join(one,X1))) != converse(join(X0,composition(X0,X1)))
| converse(join(X0,composition(X0,X1))) = converse(composition(X0,join(one,X1))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X0,join(one,X1))))),bind(Y,$fot(converse(join(X0,composition(X0,X1)))))]]) ).
cnf(refute_0_2304,plain,
converse(join(X0,composition(X0,X1))) = converse(composition(X0,join(one,X1))),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(one,X1))),converse(join(X0,composition(X0,X1)))) )],[refute_0_2302,refute_0_2303]) ).
cnf(refute_0_2305,plain,
converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))) = converse(composition(converse(X_14),join(one,converse(X_317)))),
inference(subst,[],[refute_0_2304:[bind(X0,$fot(converse(X_14))),bind(X1,$fot(converse(X_317)))]]) ).
cnf(refute_0_2306,plain,
( converse(composition(converse(X_14),join(one,converse(X_317)))) != composition(converse(join(one,converse(X_317))),X_14)
| converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))) != converse(composition(converse(X_14),join(one,converse(X_317))))
| converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))) = composition(converse(join(one,converse(X_317))),X_14) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))))),bind(Y,$fot(converse(composition(converse(X_14),join(one,converse(X_317)))))),bind(Z,$fot(composition(converse(join(one,converse(X_317))),X_14)))]]) ).
cnf(refute_0_2307,plain,
( converse(composition(converse(X_14),join(one,converse(X_317)))) != composition(converse(join(one,converse(X_317))),X_14)
| converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))) = composition(converse(join(one,converse(X_317))),X_14) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))),converse(composition(converse(X_14),join(one,converse(X_317))))) )],[refute_0_2305,refute_0_2306]) ).
cnf(refute_0_2308,plain,
converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))) = composition(converse(join(one,converse(X_317))),X_14),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_14),join(one,converse(X_317)))),composition(converse(join(one,converse(X_317))),X_14)) )],[refute_0_2251,refute_0_2307]) ).
cnf(refute_0_2309,plain,
( converse(join(X_4,composition(converse(X_14),X_13))) != join(converse(X_4),composition(converse(X_13),X_14))
| join(converse(X_4),composition(converse(X_13),X_14)) = converse(join(X_4,composition(converse(X_14),X_13))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X_4,composition(converse(X_14),X_13))))),bind(Y,$fot(join(converse(X_4),composition(converse(X_13),X_14))))]]) ).
cnf(refute_0_2310,plain,
join(converse(X_4),composition(converse(X_13),X_14)) = converse(join(X_4,composition(converse(X_14),X_13))),
inference(resolve,[$cnf( $equal(converse(join(X_4,composition(converse(X_14),X_13))),join(converse(X_4),composition(converse(X_13),X_14))) )],[refute_0_2201,refute_0_2309]) ).
cnf(refute_0_2311,plain,
join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)) = converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))),
inference(subst,[],[refute_0_2310:[bind(X_13,$fot(converse(X_317))),bind(X_4,$fot(converse(X_14)))]]) ).
cnf(refute_0_2312,plain,
( converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))) != composition(converse(join(one,converse(X_317))),X_14)
| join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)) != converse(join(converse(X_14),composition(converse(X_14),converse(X_317))))
| join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)) = composition(converse(join(one,converse(X_317))),X_14) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)))),bind(Y,$fot(converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))))),bind(Z,$fot(composition(converse(join(one,converse(X_317))),X_14)))]]) ).
cnf(refute_0_2313,plain,
( converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))) != composition(converse(join(one,converse(X_317))),X_14)
| join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)) = composition(converse(join(one,converse(X_317))),X_14) ),
inference(resolve,[$cnf( $equal(join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)),converse(join(converse(X_14),composition(converse(X_14),converse(X_317))))) )],[refute_0_2311,refute_0_2312]) ).
cnf(refute_0_2314,plain,
join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)) = composition(converse(join(one,converse(X_317))),X_14),
inference(resolve,[$cnf( $equal(converse(join(converse(X_14),composition(converse(X_14),converse(X_317)))),composition(converse(join(one,converse(X_317))),X_14)) )],[refute_0_2308,refute_0_2313]) ).
cnf(refute_0_2315,plain,
( composition(converse(join(one,converse(X_317))),X_14) != composition(join(one,X_317),X_14)
| join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)) != composition(converse(join(one,converse(X_317))),X_14)
| join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)) = composition(join(one,X_317),X_14) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)))),bind(Y,$fot(composition(converse(join(one,converse(X_317))),X_14))),bind(Z,$fot(composition(join(one,X_317),X_14)))]]) ).
cnf(refute_0_2316,plain,
( composition(converse(join(one,converse(X_317))),X_14) != composition(join(one,X_317),X_14)
| join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)) = composition(join(one,X_317),X_14) ),
inference(resolve,[$cnf( $equal(join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)),composition(converse(join(one,converse(X_317))),X_14)) )],[refute_0_2314,refute_0_2315]) ).
cnf(refute_0_2317,plain,
join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)) = composition(join(one,X_317),X_14),
inference(resolve,[$cnf( $equal(composition(converse(join(one,converse(X_317))),X_14),composition(join(one,X_317),X_14)) )],[refute_0_2250,refute_0_2316]) ).
cnf(refute_0_2318,plain,
( composition(join(X_317,one),X_14) != join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14))
| join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)) != composition(join(one,X_317),X_14)
| composition(join(X_317,one),X_14) = composition(join(one,X_317),X_14) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_317,one),X_14),composition(join(one,X_317),X_14)) ),[0],$fot(join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)))]]) ).
cnf(refute_0_2319,plain,
( composition(join(X_317,one),X_14) != join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14))
| composition(join(X_317,one),X_14) = composition(join(one,X_317),X_14) ),
inference(resolve,[$cnf( $equal(join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14)),composition(join(one,X_317),X_14)) )],[refute_0_2317,refute_0_2318]) ).
cnf(refute_0_2320,plain,
( converse(composition(converse(X_14),converse(join(X_317,one)))) != join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14))
| composition(join(X_317,one),X_14) = composition(join(one,X_317),X_14) ),
inference(resolve,[$cnf( $equal(composition(join(X_317,one),X_14),join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14))) )],[refute_0_2238,refute_0_2319]) ).
cnf(refute_0_2321,plain,
composition(join(X_317,one),X_14) = composition(join(one,X_317),X_14),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_14),converse(join(X_317,one)))),join(converse(converse(X_14)),composition(converse(converse(X_317)),X_14))) )],[refute_0_2227,refute_0_2320]) ).
cnf(refute_0_2322,plain,
composition(join(converse(join(one,X_413)),one),complement(converse(skolemFOFtoCNF_X0))) = composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2321:[bind(X_14,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X_317,$fot(converse(join(one,X_413))))]]) ).
cnf(refute_0_2323,plain,
join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) = composition(join(converse(join(one,X_413)),one),complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1953:[bind(X_58,$fot(converse(join(one,X_413)))),bind(X_60,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2324,plain,
( composition(join(converse(join(one,X_413)),one),complement(converse(skolemFOFtoCNF_X0))) != composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0)))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) != composition(join(converse(join(one,X_413)),one),complement(converse(skolemFOFtoCNF_X0)))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) = composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(composition(join(converse(join(one,X_413)),one),complement(converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2325,plain,
( composition(join(converse(join(one,X_413)),one),complement(converse(skolemFOFtoCNF_X0))) != composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0)))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) = composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))),composition(join(converse(join(one,X_413)),one),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2323,refute_0_2324]) ).
cnf(refute_0_2326,plain,
join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) = composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(join(converse(join(one,X_413)),one),complement(converse(skolemFOFtoCNF_X0))),composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2322,refute_0_2325]) ).
cnf(refute_0_2327,plain,
( composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))) != composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) != composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0)))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) = composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2328,plain,
( composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))) != composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) = composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))),composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2326,refute_0_2327]) ).
cnf(refute_0_2329,plain,
join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) = composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(join(one,X_413))),complement(converse(skolemFOFtoCNF_X0))),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2196,refute_0_2328]) ).
cnf(refute_0_2330,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) != composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))
| composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) ),[0],$fot(composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2331,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2329,refute_0_2330]) ).
cnf(refute_0_2332,plain,
composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),composition(converse(join(one,X_413)),complement(converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2183,refute_0_2331]) ).
cnf(refute_0_2333,plain,
composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2332:[bind(X_413,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2334,plain,
meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))) = meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2335,plain,
( composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) != complement(converse(skolemFOFtoCNF_X0))
| meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))) != meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))
| meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))) = meet(converse(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2336,plain,
( composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) != complement(converse(skolemFOFtoCNF_X0))
| meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))) = meet(converse(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))),meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_2334,refute_0_2335]) ).
cnf(refute_0_2337,plain,
meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))) = meet(converse(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_2333,refute_0_2336]) ).
cnf(refute_0_2338,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) != zero
| meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))) != meet(converse(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))
| meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))) = zero ),
inference(subst,[],[refute_0_56:[bind(X,$fot(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(converse(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2339,plain,
( meet(converse(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))) != zero
| meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))),meet(converse(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_2337,refute_0_2338]) ).
cnf(refute_0_2340,plain,
meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),complement(converse(skolemFOFtoCNF_X0))),zero) )],[refute_0_1876,refute_0_2339]) ).
cnf(refute_0_2341,plain,
converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) = converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2342,plain,
( converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) != converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))
| meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))) != zero
| converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2343,plain,
( meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))) != zero
| converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_2341,refute_0_2342]) ).
cnf(refute_0_2344,plain,
converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) = converse(zero),
inference(resolve,[$cnf( $equal(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))),zero) )],[refute_0_2340,refute_0_2343]) ).
cnf(refute_0_2345,plain,
( converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) != converse(zero)
| converse(zero) != zero
| converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) = zero ),
inference(subst,[],[refute_0_56:[bind(X,$fot(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2346,plain,
( converse(zero) != zero
| converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) = zero ),
inference(resolve,[$cnf( $equal(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))),converse(zero)) )],[refute_0_2344,refute_0_2345]) ).
cnf(refute_0_2347,plain,
converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1875,refute_0_2346]) ).
cnf(refute_0_2348,plain,
meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) = meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_2349,plain,
( converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) != zero
| meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) != meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) = meet(complement(skolemFOFtoCNF_X0),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2350,plain,
( converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))) != zero
| meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) = meet(complement(skolemFOFtoCNF_X0),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_2348,refute_0_2349]) ).
cnf(refute_0_2351,plain,
meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) = meet(complement(skolemFOFtoCNF_X0),zero),
inference(resolve,[$cnf( $equal(converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))))),zero) )],[refute_0_2347,refute_0_2350]) ).
cnf(refute_0_2352,plain,
( meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) != meet(complement(skolemFOFtoCNF_X0),zero)
| meet(complement(skolemFOFtoCNF_X0),zero) != zero
| meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) = zero ),
inference(subst,[],[refute_0_56:[bind(X,$fot(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2353,plain,
( meet(complement(skolemFOFtoCNF_X0),zero) != zero
| meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(skolemFOFtoCNF_X0),zero)) )],[refute_0_2351,refute_0_2352]) ).
cnf(refute_0_2354,plain,
meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),zero),zero) )],[refute_0_1844,refute_0_2353]) ).
cnf(refute_0_2355,plain,
join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0) = join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0),
introduced(tautology,[refl,[$fot(join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0))]]) ).
cnf(refute_0_2356,plain,
( join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0) != join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)
| meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) != zero
| join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0) = join(zero,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2357,plain,
( meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))) != zero
| join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0) = join(zero,X0) ),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)) )],[refute_0_2355,refute_0_2356]) ).
cnf(refute_0_2358,plain,
join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0) = join(zero,X0),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_2354,refute_0_2357]) ).
cnf(refute_0_2359,plain,
( join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0) != join(zero,X0)
| join(zero,X0) != X0
| join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0) = X0 ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0))),bind(Y,$fot(join(zero,X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_2360,plain,
( join(zero,X0) != X0
| join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0) = X0 ),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0),join(zero,X0)) )],[refute_0_2358,refute_0_2359]) ).
cnf(refute_0_2361,plain,
join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0) = X0,
inference(resolve,[$cnf( $equal(join(zero,X0),X0) )],[refute_0_1813,refute_0_2360]) ).
cnf(refute_0_2362,plain,
join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)) = join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)))]]) ).
cnf(refute_0_2363,plain,
( join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)) != join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0))
| join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0) != X0
| join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)) = join(complement(skolemFOFtoCNF_X0),X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)),join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_2364,plain,
( join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0) != X0
| join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)) = join(complement(skolemFOFtoCNF_X0),X0) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)),join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0))) )],[refute_0_2362,refute_0_2363]) ).
cnf(refute_0_2365,plain,
join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)) = join(complement(skolemFOFtoCNF_X0),X0),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0),X0) )],[refute_0_2361,refute_0_2364]) ).
cnf(refute_0_2366,plain,
( join(X0,complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0))
| join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)) != join(complement(skolemFOFtoCNF_X0),X0)
| join(X0,complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),X0)) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)))]]) ).
cnf(refute_0_2367,plain,
( join(X0,complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0))
| join(X0,complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),X0) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0)),join(complement(skolemFOFtoCNF_X0),X0)) )],[refute_0_2365,refute_0_2366]) ).
cnf(refute_0_2368,plain,
join(X0,complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),X0),
inference(resolve,[$cnf( $equal(join(X0,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),join(meet(complement(skolemFOFtoCNF_X0),converse(meet(converse(skolemFOFtoCNF_X0),composition(converse(join(one,skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0)))))),X0))) )],[refute_0_1812,refute_0_2367]) ).
cnf(refute_0_2369,plain,
join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_2368:[bind(X0,$fot(complement(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_2370,plain,
( join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)) != complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))
| join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)))),bind(Z,$fot(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_2371,plain,
( join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)) != complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1))) )],[refute_0_2369,refute_0_2370]) ).
cnf(refute_0_2372,plain,
join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X1)),complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_1575,refute_0_2371]) ).
cnf(refute_0_2373,plain,
( composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) != join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0))
| join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)) != complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top),complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),[0],$fot(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2374,plain,
( composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) != join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0))
| composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_2372,refute_0_2373]) ).
cnf(refute_0_2375,plain,
( composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top) != join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0))
| composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top),join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0))) )],[refute_0_1600,refute_0_2374]) ).
cnf(refute_0_2376,plain,
composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(composition(join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0)),top),join(complement(skolemFOFtoCNF_X1),complement(skolemFOFtoCNF_X0))) )],[refute_0_1566,refute_0_2375]) ).
cnf(refute_0_2377,plain,
( composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) != complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| composition(converse(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top)),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))) != zero
| composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top)),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))),zero) ),[0,0,0],$fot(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_2378,plain,
( composition(converse(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top)),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))) != zero
| composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top),complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_2376,refute_0_2377]) ).
cnf(refute_0_2379,plain,
composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top)),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))),zero) )],[refute_0_386,refute_0_2378]) ).
cnf(refute_0_2380,plain,
complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) = meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
inference(subst,[],[refute_0_352:[bind(X_93,$fot(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_2381,plain,
composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)) = composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)),
introduced(tautology,[refl,[$fot(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))]]) ).
cnf(refute_0_2382,plain,
( composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)) != composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))
| composition(top,top) != top
| composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)) = composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)),composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2383,plain,
( composition(top,top) != top
| composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)) = composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)),composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))) )],[refute_0_2381,refute_0_2382]) ).
cnf(refute_0_2384,plain,
composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)) = composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_995,refute_0_2383]) ).
cnf(refute_0_2385,plain,
( composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)) != composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top)
| composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) != complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))),bind(Y,$fot(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top))),bind(Z,$fot(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_2386,plain,
( composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top) != complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)),composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top)) )],[refute_0_2384,refute_0_2385]) ).
cnf(refute_0_2387,plain,
composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),top),complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_2376,refute_0_2386]) ).
cnf(refute_0_2388,plain,
complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))) = complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))),
introduced(tautology,[refl,[$fot(complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))))]]) ).
cnf(refute_0_2389,plain,
( complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))) != complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))
| composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)) != complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))) = complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))) ),[1,0],$fot(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_2390,plain,
( composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)) != complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))) = complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))) )],[refute_0_2388,refute_0_2389]) ).
cnf(refute_0_2391,plain,
complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))) = complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)),complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_2387,refute_0_2390]) ).
cnf(refute_0_2392,plain,
( complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))) != complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))) = meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))))),bind(Y,$fot(complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_2393,plain,
( complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))) = meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))),complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_2391,refute_0_2392]) ).
cnf(refute_0_2394,plain,
complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))) = meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_2380,refute_0_2393]) ).
cnf(refute_0_2395,plain,
composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))) = composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))),
introduced(tautology,[refl,[$fot(composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))))]]) ).
cnf(refute_0_2396,plain,
( complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))) != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))) != composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))))
| composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))) = composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))),composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_2397,plain,
( complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))) != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))) = composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))),composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))))) )],[refute_0_2395,refute_0_2396]) ).
cnf(refute_0_2398,plain,
composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))) = composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(resolve,[$cnf( $equal(complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_2394,refute_0_2397]) ).
cnf(refute_0_2399,plain,
( composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))) != composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))) != zero
| composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))),zero) ),[0],$fot(composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_2400,plain,
( composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))) != zero
| composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))),composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_2398,refute_0_2399]) ).
cnf(refute_0_2401,plain,
composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) = zero,
inference(resolve,[$cnf( $equal(composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),complement(composition(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),composition(top,top)))),zero) )],[refute_0_2379,refute_0_2400]) ).
cnf(refute_0_2402,plain,
( composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) != zero
| join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) != complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))
| join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))),complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_2403,plain,
( join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) != complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))
| join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),zero) )],[refute_0_2401,refute_0_2402]) ).
cnf(refute_0_2404,plain,
join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(composition(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))),complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) )],[refute_0_31,refute_0_2403]) ).
cnf(refute_0_2405,plain,
composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top)) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top)),
introduced(tautology,[refl,[$fot(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top)))]]) ).
cnf(refute_0_2406,plain,
( composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top)) != composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top))
| join(one,top) != top
| composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top)) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top)),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2407,plain,
( join(one,top) != top
| composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top)) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) ),
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top)),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top))) )],[refute_0_2405,refute_0_2406]) ).
cnf(refute_0_2408,plain,
composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top)) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1900,refute_0_2407]) ).
cnf(refute_0_2409,plain,
composition(X_316,converse(join(converse(X0),one))) = join(X_316,composition(X_316,converse(converse(X0)))),
inference(subst,[],[refute_0_2221:[bind(X0,$fot(X_316)),bind(X_175,$fot(converse(X0)))]]) ).
cnf(refute_0_2410,plain,
( composition(X_316,converse(join(converse(X0),one))) != join(X_316,composition(X_316,converse(converse(X0))))
| converse(converse(X0)) != X0
| composition(X_316,converse(join(converse(X0),one))) = join(X_316,composition(X_316,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_316,converse(join(converse(X0),one))),join(X_316,composition(X_316,converse(converse(X0))))) ),[1,1,1],$fot(X0)]]) ).
cnf(refute_0_2411,plain,
( composition(X_316,converse(join(converse(X0),one))) != join(X_316,composition(X_316,converse(converse(X0))))
| composition(X_316,converse(join(converse(X0),one))) = join(X_316,composition(X_316,X0)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_18,refute_0_2410]) ).
cnf(refute_0_2412,plain,
composition(X_316,converse(join(converse(X0),one))) = join(X_316,composition(X_316,X0)),
inference(resolve,[$cnf( $equal(composition(X_316,converse(join(converse(X0),one))),join(X_316,composition(X_316,converse(converse(X0))))) )],[refute_0_2409,refute_0_2411]) ).
cnf(refute_0_2413,plain,
join(converse(one),X0) = join(converse(one),X0),
introduced(tautology,[refl,[$fot(join(converse(one),X0))]]) ).
cnf(refute_0_2414,plain,
( converse(one) != one
| join(converse(one),X0) != join(converse(one),X0)
| join(converse(one),X0) = join(one,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X0),join(converse(one),X0)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2415,plain,
( converse(one) != one
| join(converse(one),X0) = join(one,X0) ),
inference(resolve,[$cnf( $equal(join(converse(one),X0),join(converse(one),X0)) )],[refute_0_2413,refute_0_2414]) ).
cnf(refute_0_2416,plain,
join(converse(one),X0) = join(one,X0),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_131,refute_0_2415]) ).
cnf(refute_0_2417,plain,
converse(join(one,converse(X0))) = join(converse(one),X0),
inference(subst,[],[refute_0_668:[bind(X_4,$fot(one))]]) ).
cnf(refute_0_2418,plain,
( converse(join(one,converse(X0))) != join(converse(one),X0)
| join(converse(one),X0) != join(one,X0)
| converse(join(one,converse(X0))) = join(one,X0) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(converse(join(one,converse(X0))))),bind(Y,$fot(join(converse(one),X0))),bind(Z,$fot(join(one,X0)))]]) ).
cnf(refute_0_2419,plain,
( join(converse(one),X0) != join(one,X0)
| converse(join(one,converse(X0))) = join(one,X0) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X0))),join(converse(one),X0)) )],[refute_0_2417,refute_0_2418]) ).
cnf(refute_0_2420,plain,
converse(join(one,converse(X0))) = join(one,X0),
inference(resolve,[$cnf( $equal(join(converse(one),X0),join(one,X0)) )],[refute_0_2416,refute_0_2419]) ).
cnf(refute_0_2421,plain,
composition(X_316,converse(join(one,converse(X0)))) = composition(X_316,converse(join(one,converse(X0)))),
introduced(tautology,[refl,[$fot(composition(X_316,converse(join(one,converse(X0)))))]]) ).
cnf(refute_0_2422,plain,
( composition(X_316,converse(join(one,converse(X0)))) != composition(X_316,converse(join(one,converse(X0))))
| converse(join(one,converse(X0))) != join(one,X0)
| composition(X_316,converse(join(one,converse(X0)))) = composition(X_316,join(one,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_316,converse(join(one,converse(X0)))),composition(X_316,converse(join(one,converse(X0))))) ),[1,1],$fot(join(one,X0))]]) ).
cnf(refute_0_2423,plain,
( converse(join(one,converse(X0))) != join(one,X0)
| composition(X_316,converse(join(one,converse(X0)))) = composition(X_316,join(one,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_316,converse(join(one,converse(X0)))),composition(X_316,converse(join(one,converse(X0))))) )],[refute_0_2421,refute_0_2422]) ).
cnf(refute_0_2424,plain,
composition(X_316,converse(join(one,converse(X0)))) = composition(X_316,join(one,X0)),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X0))),join(one,X0)) )],[refute_0_2420,refute_0_2423]) ).
cnf(refute_0_2425,plain,
composition(X_316,converse(join(X_317,one))) = join(X_316,composition(X_316,converse(X_317))),
inference(subst,[],[refute_0_2221:[bind(X0,$fot(X_316)),bind(X_175,$fot(X_317))]]) ).
cnf(refute_0_2426,plain,
join(one,X_317) = join(X_317,one),
inference(subst,[],[refute_0_1:[bind(X0,$fot(one)),bind(X1,$fot(X_317))]]) ).
cnf(refute_0_2427,plain,
( join(one,X_317) != join(X_317,one)
| join(X_317,one) = join(one,X_317) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(one,X_317))),bind(Y,$fot(join(X_317,one)))]]) ).
cnf(refute_0_2428,plain,
join(X_317,one) = join(one,X_317),
inference(resolve,[$cnf( $equal(join(one,X_317),join(X_317,one)) )],[refute_0_2426,refute_0_2427]) ).
cnf(refute_0_2429,plain,
( composition(X_316,converse(join(X_317,one))) != join(X_316,composition(X_316,converse(X_317)))
| join(X_317,one) != join(one,X_317)
| composition(X_316,converse(join(one,X_317))) = join(X_316,composition(X_316,converse(X_317))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_316,converse(join(X_317,one))),join(X_316,composition(X_316,converse(X_317)))) ),[0,1,0],$fot(join(one,X_317))]]) ).
cnf(refute_0_2430,plain,
( composition(X_316,converse(join(X_317,one))) != join(X_316,composition(X_316,converse(X_317)))
| composition(X_316,converse(join(one,X_317))) = join(X_316,composition(X_316,converse(X_317))) ),
inference(resolve,[$cnf( $equal(join(X_317,one),join(one,X_317)) )],[refute_0_2428,refute_0_2429]) ).
cnf(refute_0_2431,plain,
composition(X_316,converse(join(one,X_317))) = join(X_316,composition(X_316,converse(X_317))),
inference(resolve,[$cnf( $equal(composition(X_316,converse(join(X_317,one))),join(X_316,composition(X_316,converse(X_317)))) )],[refute_0_2425,refute_0_2430]) ).
cnf(refute_0_2432,plain,
( composition(X0,converse(join(X_175,one))) != join(X0,composition(X0,converse(X_175)))
| join(X0,composition(X0,converse(X_175))) = composition(X0,converse(join(X_175,one))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X0,converse(join(X_175,one))))),bind(Y,$fot(join(X0,composition(X0,converse(X_175)))))]]) ).
cnf(refute_0_2433,plain,
join(X0,composition(X0,converse(X_175))) = composition(X0,converse(join(X_175,one))),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(X_175,one))),join(X0,composition(X0,converse(X_175)))) )],[refute_0_2221,refute_0_2432]) ).
cnf(refute_0_2434,plain,
join(X_316,composition(X_316,converse(X_317))) = composition(X_316,converse(join(X_317,one))),
inference(subst,[],[refute_0_2433:[bind(X0,$fot(X_316)),bind(X_175,$fot(X_317))]]) ).
cnf(refute_0_2435,plain,
( composition(X_316,converse(join(one,X_317))) != join(X_316,composition(X_316,converse(X_317)))
| join(X_316,composition(X_316,converse(X_317))) != composition(X_316,converse(join(X_317,one)))
| composition(X_316,converse(join(one,X_317))) = composition(X_316,converse(join(X_317,one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X_316,converse(join(one,X_317))),composition(X_316,converse(join(X_317,one)))) ),[0],$fot(join(X_316,composition(X_316,converse(X_317))))]]) ).
cnf(refute_0_2436,plain,
( composition(X_316,converse(join(one,X_317))) != join(X_316,composition(X_316,converse(X_317)))
| composition(X_316,converse(join(one,X_317))) = composition(X_316,converse(join(X_317,one))) ),
inference(resolve,[$cnf( $equal(join(X_316,composition(X_316,converse(X_317))),composition(X_316,converse(join(X_317,one)))) )],[refute_0_2434,refute_0_2435]) ).
cnf(refute_0_2437,plain,
composition(X_316,converse(join(one,X_317))) = composition(X_316,converse(join(X_317,one))),
inference(resolve,[$cnf( $equal(composition(X_316,converse(join(one,X_317))),join(X_316,composition(X_316,converse(X_317)))) )],[refute_0_2431,refute_0_2436]) ).
cnf(refute_0_2438,plain,
( composition(X_316,converse(join(one,X_317))) != composition(X_316,converse(join(X_317,one)))
| composition(X_316,converse(join(X_317,one))) = composition(X_316,converse(join(one,X_317))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X_316,converse(join(one,X_317))))),bind(Y,$fot(composition(X_316,converse(join(X_317,one)))))]]) ).
cnf(refute_0_2439,plain,
composition(X_316,converse(join(X_317,one))) = composition(X_316,converse(join(one,X_317))),
inference(resolve,[$cnf( $equal(composition(X_316,converse(join(one,X_317))),composition(X_316,converse(join(X_317,one)))) )],[refute_0_2437,refute_0_2438]) ).
cnf(refute_0_2440,plain,
composition(X_316,converse(join(converse(X0),one))) = composition(X_316,converse(join(one,converse(X0)))),
inference(subst,[],[refute_0_2439:[bind(X_317,$fot(converse(X0)))]]) ).
cnf(refute_0_2441,plain,
( composition(X_316,converse(join(converse(X0),one))) != composition(X_316,converse(join(one,converse(X0))))
| composition(X_316,converse(join(one,converse(X0)))) != composition(X_316,join(one,X0))
| composition(X_316,converse(join(converse(X0),one))) = composition(X_316,join(one,X0)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(composition(X_316,converse(join(converse(X0),one))))),bind(Y,$fot(composition(X_316,converse(join(one,converse(X0)))))),bind(Z,$fot(composition(X_316,join(one,X0))))]]) ).
cnf(refute_0_2442,plain,
( composition(X_316,converse(join(one,converse(X0)))) != composition(X_316,join(one,X0))
| composition(X_316,converse(join(converse(X0),one))) = composition(X_316,join(one,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_316,converse(join(converse(X0),one))),composition(X_316,converse(join(one,converse(X0))))) )],[refute_0_2440,refute_0_2441]) ).
cnf(refute_0_2443,plain,
composition(X_316,converse(join(converse(X0),one))) = composition(X_316,join(one,X0)),
inference(resolve,[$cnf( $equal(composition(X_316,converse(join(one,converse(X0)))),composition(X_316,join(one,X0))) )],[refute_0_2424,refute_0_2442]) ).
cnf(refute_0_2444,plain,
( composition(X_316,converse(join(converse(X0),one))) != composition(X_316,join(one,X0))
| composition(X_316,converse(join(converse(X0),one))) != join(X_316,composition(X_316,X0))
| composition(X_316,join(one,X0)) = join(X_316,composition(X_316,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_316,converse(join(converse(X0),one))),join(X_316,composition(X_316,X0))) ),[0],$fot(composition(X_316,join(one,X0)))]]) ).
cnf(refute_0_2445,plain,
( composition(X_316,converse(join(converse(X0),one))) != join(X_316,composition(X_316,X0))
| composition(X_316,join(one,X0)) = join(X_316,composition(X_316,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_316,converse(join(converse(X0),one))),composition(X_316,join(one,X0))) )],[refute_0_2443,refute_0_2444]) ).
cnf(refute_0_2446,plain,
composition(X_316,join(one,X0)) = join(X_316,composition(X_316,X0)),
inference(resolve,[$cnf( $equal(composition(X_316,converse(join(converse(X0),one))),join(X_316,composition(X_316,X0))) )],[refute_0_2412,refute_0_2445]) ).
cnf(refute_0_2447,plain,
( composition(X_316,join(one,X0)) != join(X_316,composition(X_316,X0))
| join(X_316,composition(X_316,X0)) = composition(X_316,join(one,X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X_316,join(one,X0)))),bind(Y,$fot(join(X_316,composition(X_316,X0))))]]) ).
cnf(refute_0_2448,plain,
join(X_316,composition(X_316,X0)) = composition(X_316,join(one,X0)),
inference(resolve,[$cnf( $equal(composition(X_316,join(one,X0)),join(X_316,composition(X_316,X0))) )],[refute_0_2446,refute_0_2447]) ).
cnf(refute_0_2449,plain,
join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top)),
inference(subst,[],[refute_0_2448:[bind(X0,$fot(top)),bind(X_316,$fot(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_2450,plain,
( composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top)) != composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)
| join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) != composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top))
| join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)))),bind(Y,$fot(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top)))),bind(Z,$fot(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)))]]) ).
cnf(refute_0_2451,plain,
( composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top)) != composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)
| join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top))) )],[refute_0_2449,refute_0_2450]) ).
cnf(refute_0_2452,plain,
join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top),
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),join(one,top)),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) )],[refute_0_2408,refute_0_2451]) ).
cnf(refute_0_2453,plain,
composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))))]]) ).
cnf(refute_0_2454,plain,
( complement(converse(zero)) != top
| composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))) != composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))
| composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2455,plain,
( complement(converse(zero)) != top
| composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) ),
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) )],[refute_0_2453,refute_0_2454]) ).
cnf(refute_0_2456,plain,
composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_900,refute_0_2455]) ).
cnf(refute_0_2457,plain,
join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))))]]) ).
cnf(refute_0_2458,plain,
( composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))) != composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)
| join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) != join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))))
| join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))),join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))))) ),[1,1],$fot(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))]]) ).
cnf(refute_0_2459,plain,
( composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))) != composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)
| join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))),join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))))) )],[refute_0_2457,refute_0_2458]) ).
cnf(refute_0_2460,plain,
join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)),
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) )],[refute_0_2456,refute_0_2459]) ).
cnf(refute_0_2461,plain,
converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) = complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),
inference(subst,[],[refute_0_18:[bind(X0,$fot(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_2462,plain,
complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))))]]) ).
cnf(refute_0_2463,plain,
( complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))
| converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) ),[1,0],$fot(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_2464,plain,
( converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) != complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))
| complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) )],[refute_0_2462,refute_0_2463]) ).
cnf(refute_0_2465,plain,
complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),
inference(resolve,[$cnf( $equal(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))),complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) )],[refute_0_2461,refute_0_2464]) ).
cnf(refute_0_2466,plain,
( complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))
| complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))))),bind(Y,$fot(complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_2467,plain,
( complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))) != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))) )],[refute_0_2465,refute_0_2466]) ).
cnf(refute_0_2468,plain,
complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) = meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(complement(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_2380,refute_0_2467]) ).
cnf(refute_0_2469,plain,
join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))))]]) ).
cnf(refute_0_2470,plain,
( complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) != join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))))
| join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))),join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))))) ),[1,0],$fot(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_2471,plain,
( complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))),join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))))) )],[refute_0_2469,refute_0_2470]) ).
cnf(refute_0_2472,plain,
join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_2468,refute_0_2471]) ).
cnf(refute_0_2473,plain,
( join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) != join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))))
| join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) != join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))
| join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))))),bind(Y,$fot(join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))))),bind(Z,$fot(join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))))]]) ).
cnf(refute_0_2474,plain,
( join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) != join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))
| join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))),join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero))))) )],[refute_0_2472,refute_0_2473]) ).
cnf(refute_0_2475,plain,
join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))),join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))) )],[refute_0_2460,refute_0_2474]) ).
cnf(refute_0_2476,plain,
( join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) != join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))
| join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) != composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)
| join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) ),
inference(subst,[],[refute_0_56:[bind(X,$fot(join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))))),bind(Y,$fot(join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)))),bind(Z,$fot(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)))]]) ).
cnf(refute_0_2477,plain,
( join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) != composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)
| join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))),join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))) )],[refute_0_2475,refute_0_2476]) ).
cnf(refute_0_2478,plain,
join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) = composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) )],[refute_0_2452,refute_0_2477]) ).
cnf(refute_0_2479,plain,
( join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) != complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))
| join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) != composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)
| composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) = complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))),complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) ),[0],$fot(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top))]]) ).
cnf(refute_0_2480,plain,
( join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) != complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))
| composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) = complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top)) )],[refute_0_2478,refute_0_2479]) ).
cnf(refute_0_2481,plain,
( complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))) != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)
| composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) != complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))
| composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) = meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top),complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) ),[1],$fot(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_2482,plain,
( composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) != complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))
| composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) = meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_2468,refute_0_2481]) ).
cnf(refute_0_2483,plain,
( join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))) != complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))
| composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) = meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1) ),
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top),complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) )],[refute_0_2480,refute_0_2482]) ).
cnf(refute_0_2484,plain,
composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) = meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1))))),composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),complement(converse(zero)))),complement(converse(converse(complement(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)))))) )],[refute_0_2404,refute_0_2483]) ).
cnf(refute_0_2485,plain,
composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top) != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_2486,plain,
$false,
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),top),meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)) )],[refute_0_2484,refute_0_2485]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL019+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 12:59:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 68.27/68.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 68.27/68.63
% 68.27/68.63 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 68.58/68.92
%------------------------------------------------------------------------------